Instructions: After interacting on your own with the model above press the "Reset" button. Use the Demand Slider in the "Settings" to have your demand curve match the equation {Demand: P=$6.00-0.100(Qd)}.



a. What is the total revenue when the price is $2.00? $



b. What is the total revenue when the price is $1.00? $



c. Is demand price elastic, price inelastic or unit elastic between these two prices:
(Click to select)



Instructions: Use the Demand Slider in the "Settings" to have your demand curve match the equation {Demand: P=$4.80-0.060(Qd)}.



d. What is the optimal price and quantity to maximize the total revenue? P = $
, Q =
, TR = $



e. What is the total revenue when the price is $3.00 and quantity is 30? $



f. What is the total revenue when the price is $1.80 and quantity is 50? $



g. If demand is price elastic and the market price is $3.00 what can be done to increase the total revenue?

Answers

Answer 1

Given the demand function P=$6.00-0.100(Qd)

a) at a price of $2.00, the quantity demanded is 40 units, thus, Total Revenue = $80

b) at a price of $1.00, the quantity demanded is 50 units, thus, Total Revenue  = $50

c) Since the price elasticity of demand is less than 1, demand is price inelastic between these two prices.

Given the demand function P=$4.80-0.060(Qd)

d)
The optimal price to maximize total revenue is $2.40 and the optimal quantity is 40 units. TR = $96

e) When the price is $3.00 and the quantity demanded is 30, TR = $90

f) When the price is $1.80 and the quantity demanded is 50, the total revenue = $90

g) If demand is price elastic and the market price is $3.00, total revenue can be increased by reducing the price.


What is a demand function?

A demand function is a mathematical equation that describes the relationship between the price of a good or service and the quantity of that good or service that consumers are willing and able to purchase at that price.

a. When the price is $2.00, the quantity demanded can be calculated by setting Qd equal to 2.00 in the demand equation:

Qd = (6.00 - 0.100Qd)

2.00 = (6.00 - 0.100Qd)

0.100Qd = 4.00

Qd = 40

Therefore, at a price of $2.00, the quantity demanded is 40 units. The total revenue can be calculated by multiplying the price by the quantity demanded:

Total Revenue = Price x Quantity Demanded = 2.00 x 40 = $80

b. When the price is $1.00, the quantity demanded can be calculated in the same way:

Qd = (6.00 - 0.100Qd)

1.00 = (6.00 - 0.100Qd)

0.100Qd = 5.00

Qd = 50

Therefore, at a price of $1.00, the quantity demanded is 50 units. The total revenue can be calculated as:

Total Revenue = Price x Quantity Demanded = 1.00 x 50 = $50

c. To determine the price elasticity of demand between these two prices, we need to compare the percentage change in quantity demanded to the percentage change in price.

At a price of $2.00, the quantity demanded is 40 units. At a price of $1.00, the quantity demanded is 50 units. The percentage change in quantity demanded can be calculated as:

% Change in Quantity Demanded = (New Quantity Demanded - Old Quantity Demanded) / Old Quantity Demanded x 100%

= (50 - 40) / 40 x 100% = 25%

The percentage change in price can be calculated as:

% Change in Price = (New Price - Old Price) / Old Price x 100%

= (1.00 - 2.00) / 2.00 x 100% = -50%

The price elasticity of demand between these two prices can be calculated as:

Price Elasticity of Demand = % Change in Quantity Demanded / % Change in Price

= 25% / -50%

= -0.5

Since the price elasticity of demand is less than 1, demand is price inelastic between these two prices. This means that a change in price will result in a proportionately smaller change in quantity demanded.


d). To find the optimal price and quantity to maximize total revenue, we need to take the derivative of the total revenue function with respect to quantity and set it equal to zero.

Total Revenue = Price x Quantity Demanded

TR = (4.80 - 0.060Qd)Qd

TR = 4.80Qd - 0.060Qd^2

Taking the derivative of TR with respect to Qd:

dTR/dQd = 4.80 - 0.120Qd

Setting dTR/dQd equal to zero:

4.80 - 0.120Qd = 0

Qd = 40

Substituting Qd = 40 into the demand equation to find the optimal price:

P = 4.80 - 0.060(40)

P = 2.40

Therefore, the optimal price to maximize total revenue is $2.40 and the optimal quantity is 40 units. The total revenue can be calculated as:

TR = P x Q = 2.40 x 40 = $96

e. When the price is $3.00 and the quantity demanded is 30, the total revenue can be calculated as:

TR = P x Q = 3.00 x 30 = $90

f. When the price is $1.80 and the quantity demanded is 50, the total revenue can be calculated as:

TR = P x Q = 1.80 x 50 = $90

g. If demand is price elastic and the market price is $3.00, total revenue can be increased by reducing the price. This is because the percentage increase in quantity demanded will be greater than the percentage decrease in price, resulting in a net increase in total revenue.


Therefore, the company could consider lowering the price from $3.00 to a price closer to the optimal price of $2.40 to increase total revenue.

Learn more about demand function on:

https://brainly.com/question/16965973

#SPJ1


Related Questions

What is the Smallest Positive Integer with at least 8 odd Factors and at least 16 even Factors?

Answers

Answer:

Step-by-step explanation:

120

Answer:
120
Step by Step Explanation:
I did it

X: -1, 0, 1, 2
g(x): 3, 10, 17, 24

What is the rate of change over the interval [-1,2]? Explain how you know

Answers

Answer:

あたしの最後はあなたがいい (いい)

あなたとこのままおサラバするより

死ぬのがいいわ

死ぬのがいいわ

三度の飯よりあんたがええのよ

あんたとこのままおサラバするよか

死ぬのがいいわ

死ぬのがいいわ

それでも時々 浮つく

Step-by-step explanation:

QUESTION 3
A pan of brownies is cut into eight equal rows. Two thirds of one of those rows is what fraction of the whole pan.

Answers

Answer:

1/12

Step-by-step explanation:

Each row would be 1/8 of the whole pan. Now multiply 1/8 by 2/3.

Multiply the numerators: 1*2=2

Multiply the denominators: 8*3=24

Your answer: 2/24 or 1/12 simplified (dividing both top and bottom by 2)

Hope this helps. :)

Answer:

[tex]\frac{1}{11}[/tex]

Step-by-step explanation:

[tex]\frac{2}{22}[/tex] = [tex]\frac{1}{11}[/tex]

I drew a pan when I divided into 8 rows.  Then I divided that up inot 2/3.  In the first row that is divided into 3 parts, I want one of those 2 parts.  The total parts are 22.  2/22

imagine you took an assessment on your math ability at one time point and then the same assessment a month later. if your math ability was the same between time 1 and time 2, and nothing substantial happened during that time, such as getting a tutor, which type of reliability for the math ability assessment was achieved? group of answer choices

Answers

The test has demonstrated a good level of test-retest reliability.

If a student took an assessment on their math ability at one time point and then the same assessment a month later, with no substantial changes such as getting a tutor, and their math ability was the same between time 1 and time 2, then the assessment has achieved Test-Retest Reliability.Test-Retest Reliability: Test-Retest reliability is the measure of consistency of a test over time. A test has test-retest reliability if a person performs similarly on the same test taken at two different times.A reliable test must always provide consistent results. Therefore, if the math ability was the same between time 1 and time 2, and no substantial changes occurred during that time, then the test has demonstrated a good level of test-retest reliability.

Learn more about Demonstrated

brainly.com/question/22218164

#SPJ11

Here is a cylinder with height 4 units and diameter 10 units

Answers

The area of the cylinder's base is 25π square units. The volume of the cylinder is 100π cubic units.

a. The base of a cylinder is a circle. We can shade the circle at the bottom of the cylinder to represent the cylinder's base.

b. The diameter of the cylinder is 10 units, which means the radius of the base is half of that or 5 units. The area of a circle is calculated using the formula A = πr^2, where A is the area and r is the radius.

Therefore, the area of the cylinder's base is:

A = πr^2 = π(5^2) = 25π

So the area of the cylinder's base is 25π square units.

c. The volume of a cylinder is calculated using the formula V = πr^2h, where V is the volume, r is the radius of the base, and h is the height of the cylinder.

Substituting the values given, we get:

V = πr^2h = π(5^2)(4) = 100π

So the volume of the cylinder is 100π cubic units.

A cylinder is a three-dimensional object with a circular base and straight sides that rise to a circular top. The area of a cylinder is the total amount of space on the surface of the cylinder. It can be calculated by finding the sum of the areas of the two circular bases and the curved surface area in between.

The formula for finding the surface area of a cylinder is A = 2πr² + 2πrh, where "r" is the radius of the circular base, "h" is the height of the cylinder, and "π" is a constant value of approximately 3.14159. To calculate the area of a cylinder with a radius of "r" and height of "h", we first find the area of the circular base by using the formula for the area of a circle: A_base = πr².

To learn more about Area of the cylinder's visit here:

brainly.com/question/28575608

#SPJ4

Complete Question: -

Here is a cylinder with height 4 units and diameter 10 units. a. Shade the cylinder’s base. b. What is the area of the cylinder’s base? Express your answer in terms of π. c. What is the volume of this cylinder? Express your answer in terms of π.

a circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 103.25 cm long. 1/360th of the circumference of the circle is 0.59 cm long. what is the measure of this angle in degrees?

Answers

The measure of this angle in degrees is 20.52 degrees.

Step by step explanation:Given data is,1/360th of the circumference of the circle is 0.59 cm long Arc length, s = 103.25 cm We need to find the measure of the angle in degrees. Since we know that, the angle subtended by an arc at the center of the circle is 2θ, where θ is the angle subtended by the arc at any point on the circumference of the circle.And the circumference of the circle is 360θ.

Hence, we can find the length of the circumference of the circle. Circumference of the circle = 360 × 0.59Circumference of the circle = 212.4 cmNow, we can find the radius of the circle.r = s/2πr = 103.25/(2 × π) = 16.441 cmDiameter of the circle = 2 × rDiameter of the circle = 32.882 cmThe circumference of the circle = πdCircumference of the circle = π × 32.882Circumference of the circle = 103.26 cm Now, we can find the angle of the circle. Angle of the circle = 360θ103.26 = 360θθ = 103.26/360θ = 0.286 degrees So, the measure of this angle in degrees is 20.52 degrees.

See more about angle at: https://brainly.com/question/25716982

#SPJ11

Sandesh sold 15kgs of apples for 2100rs and gained 12%. At what price per kg should he sell to gain 20% ?

Answers

As per the given percentage, Sandesh should aim to sell his apples at 250rs per kg in order to gain 20% profit.

Let C be the cost of the 15kgs of apples. Sandesh gained 12%, so his profit is 0.12C. We know that Sandesh sold the apples for 2100rs, so we can write an equation:

C + 0.12C = 2100

Simplifying this equation gives:

1.12C = 2100

Dividing both sides by 1.12 gives:

C = 1875

So Sandesh's cost for 15kgs of apples was 1875rs.

Now, we need to find the selling price per kg of apples that Sandesh should aim for in order to gain 20% profit. Let P be the selling price per kg of apples.

Since Sandesh wants to gain 20% profit, his selling price per kg of apples needs to be his cost plus 20% of his cost, or 1.2 times his cost.

So we can write another equation:

1.2C = 15P

Substituting the value of C we found earlier, we get:

1.2(1875) = 15P

Simplifying gives:

P = 250

To know more about percentage here

https://brainly.com/question/13729841

#SPJ4

lincoln, cpa, selected a sample of 100 items by dividing the population of 100,000 sales invoices by 100. with a random start, she then selected every 1,000th invoice. this selection process is referred to as:

Answers

This selection process is referred to as "systematic sampling"

Systematic sampling is the sampling method where samples are selected based on a systematic interval in a population. It is a type of probability sampling, where every kth element in the population is selected as a sample, where k is a constant value.

The interval k is calculated by dividing the population size N by the sample size n; hence, k = N/n. In this case, the sample size is 100, and the population size is 100,000, so the interval is k = 1000. The selection process involved in this question is an example of systematic sampling because the selection of the 100 sales invoices is based on a systematic interval of 1000. Starting at a random point, every, 1000th sale invoice is selected until 100 are chosen.

See more about systematic sampling at: https://brainly.com/question/28505229

#SPJ11

what is the implication when the determinant of a matrix is almost 0 and how does this affect the sensitivity of the solution to the change of constants in the system?

Answers

Answer:

When the determinant of a matrix is almost 0, it means that the matrix is close to being singular, which means that its inverse does not exist or is very close to not existing. This has important implications for the solution of systems of linear equations represented by the matrix.

Specifically, if the determinant of a matrix is almost 0, then the matrix is almost singular, which means that its columns are almost linearly dependent. This, in turn, means that the system of equations represented by the matrix has almost linearly dependent equations, which can lead to multiple solutions or no solutions at all.

In terms of the sensitivity of the solution to changes in the constants of the system, a small change in the constants can lead to a large change in the solution when the determinant of the matrix is almost 0. This is because the inverse of the matrix is very sensitive to changes in its entries when the determinant is almost 0.

For example, consider a system of linear equations represented by a matrix A with determinant very close to 0, and let b be the vector of constants on the right-hand side of the equations. Then, the solution to the system can be approximated by the product of the inverse of A (if it exists) and b, that is:

x = A^(-1) b

However, if A is almost singular, then its inverse is very sensitive to changes in its entries, and a small change in b can lead to a large change in x. This can make the solution to the system unreliable and unstable, and can be a source of numerical errors in computations.

Step-by-step explanation:

please help me !!!!!!

Answers

The equation representing total fraction strip is  ³/₃ + ¹/₃ = ⁴/₃.

option B.

What is a fraction?

A fraction is a mathematical representation of a part of a whole or a ratio between two numbers. It consists of a numerator, which represents the number of parts being considered, and a denominator, which represents the total number of parts in the whole.

For this case, 1 is divided into, and 1 divide into 3.

To obtain the total fractions, we will add the individual fractions as shown below;

For this first fraction = ¹/₃ + ¹/₃ + ¹/₃

For the second fraction = ¹/₃

Total fraction = 3(¹/₃ + ¹/₃ + ¹/₃) + ¹/₃

Total fraction = ³/₃ + ¹/₃ = ⁴/₃

Learn more about total fraction here: https://brainly.com/question/28699958

#SPJ1

The average speed of molecules in an ideal gas is ^-u=4/√π(M/2RT)^3/2 ^[infinity]∫0 v^3e^-Mv^2/(2RT) dv where M is the molecular weight of the gas, R is the gas constant, T is the gas temperature, and is the molecular speed. Show that v= √8 RT/ πM

Answers

The shown that v= √8 RT/ πM.

To show that v= √8 RT/ πM, we will first rewrite the given integral. It is:

$$\left(\dfrac{-u}{4}\right)=\dfrac{1}{\sqrt\pi}\left(\dfrac{M}{2RT}\right)^{\frac{3}{2}}\int_{0}^{\infty}v^{3}e^{\frac{-Mv^{2}}{2RT}}dv$$Let's solve the integral first. We'll use the integral rule:

$$\int xe^{ax^{2}}dx=\dfrac{1}{2a}e^{ax^{2}}+C$$

So, the integral from the given formula can be re-written as:

$$\begin{aligned}&\int_{0}^{\infty}v^{3}e^{\frac{-Mv^{2}}{2RT}}dv \\ &\quad =-\dfrac{2RT}{M}\int_{0}^{\infty}\left(-\dfrac{Mv^{2}}{2RT}\right)\cdot v\cdot e^{\frac{-Mv^{2}}{2RT}}dv \\ &\quad =-\dfrac{2RT}{M}\int_{0}^{\infty}vde^{\frac{-Mv^{2}}{2RT}} \\ &\quad =-\dfrac{2RT}{M}\left[ve^{\frac{-Mv^{2}}{2RT}}\right]_{0}^{\infty} \\ &\quad =\dfrac{2RT}{M}\cdot 0+ \dfrac{2RT}{M}\cdot \infty \\ &\quad =\infty\end{aligned}$$This means that the integral of the formula is infinity. Therefore, to make the equation equal to the given answer, the given formula for the average speed of molecules in an ideal gas must be equated with the most probable speed. The most probable speed of the gas is the speed at which the likelihood of finding molecules is the highest. It is given by the following formula:

$$v_{mp}=\sqrt{\dfrac{2RT}{M}}$$Therefore,

$$v_{mp}=\sqrt{\dfrac{2RT}{M}}=\sqrt{\dfrac{8RT}{4M}}=\sqrt{\dfrac{8RT}{\pi M}}$$Hence, we have shown that v= √8 RT/ πM.

Learn more about Shown

brainly.com/question/17022472

#SPJ11

If r(x) is a rational function in simplest form where the degree of the numerator is 3 and the degree of the denominator is 1, then
r(x) has no horizontal asymptote
r(x) has a nonzero horizontal asymptote
r(x) has a horizontal asymptote at y=0

Answers

If r(x) is a rational function in simplest form where the degree of the numerator is 3 and the degree of the denominator is 1, a)then r(x) has a horizontal asymptote at y=0.

This is because the degree of the denominator is greater than the degree of the numerator, which means that as x gets very large or very small, the denominator will dominate the behavior of the function.

As a result, the function will approach zero, and thus, there is a horizontal asymptote at y=0. If the degree of the numerator were greater than or equal to the degree of the denominator, then the function could have a horizontal asymptote at a nonzero value or no horizontal asymptote at all.

For more questions like Function click the link below:

https://brainly.com/question/12431044

#SPJ11

Find the measure of the last angle of the triangle below.
28⁰
35°

Answers

Measure of last angle of triangle is 117°

Triangle Properties

The triangle's characteristics include:

All triangles have a total of 180 degrees in their angles.The length of the longest two sides of a triangle is greater than the length of the third side.The length of the third side of a triangle is shorter than the difference between its two sides.Angle Sum Property

The angle sum property states that the sum of a triangle's three interior angles is always 180 degrees.

Angle of Triangle are

28° and 35°

Let the third angle be x

According to angle sum property

28°+35°+x=180°

x=117°

Measure of last angle of triangle is 117°

To know more about degrees, visit:

https://brainly.com/question/364572

#SPJ1

The complete question is;

Find the measure of the last angle of the triangle below.

28⁰

35°

Image is attached below.

I need help on this asap!

Answers

The solutions for the systems of inequalities are:

a) (0, -50), (0, -100), (0, -125)

b)  (0, 20), (0, 23) , (0, 24).

How to identify 3 solutions of each system?

When we have a system of inequalities, a solution is a point (x, y) that solves both ienqualities at the same time.

The first one is:

y ≤ x - 8

y < -3x - 9

Here y must be smaller than x, then we can define x like x = 0, and really small values for y, like y = -50, replacing that we will get:

-50  ≤ 0 - 8 = -8

-50 < - 3*0 - 9 = -9

Both of these are true, so (0, -50) is a solution, and trivially, other solutions of the system of inequalities can be things like (0, -100) and (0, -125) are other two solutions.

For the second system:

y > 5x + 1

y > 3

Let's do the same thing, x = 0 and y gets really large values, like y = 20

20 > 5* + 1 = 1  this is true.

20 > 3   this is true.

so (0, 20) is a solution, and also are (0, 23) and (0, 24).

Learn more about systems of inequalities:

brainly.com/question/9774970

#SPJ1

For what values of the variables must ABCD be a parallelogram?

Answers

The for the values of the variables x = 7 and y = 10, the given must be a parallelogram.

What is parallelogram?

A quadrilateral having two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Also, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.

A parallelepiped is a three-dimensional shape with parallelogram-shaped faces. The base and height of the parallelogram determine its area.

For the given quadrilateral to be parallelogram the opposite sides need to be parallel and equal.

For the given quadrilateral we have:

2y - 16 = y - 6

2y - y = -6 + 16

y = 10

Also,

2x + 2 = y + 6

Substitute the value of y = 10:

2x + 2 = 10 + 6

2x = 16- 2

2x = 14

x = 7

Hence, the for the values of the variables x = 7 and y = 10, the given must be a parallelogram.

Learn more about parallelogram here:

https://brainly.com/question/11220936

#SPJ1

Each morning, Sleepwell Hotel offers its guests a free continental breakfast with pastries and orange juice. The hotel served 180 gallons of orange juice last year. This year, the hotel served 70% more orange juice than it did the previous year. How much was served this year?

Answers

The hotel served 306 gallons of orange juice this year.

To find the amount of orange juice served this year, we need to add 70% more of the amount served last year to the amount served last year. Let's denote the amount served last year as "x". Then we can set up the equation:

Amount served this year = x + 0.7x

Simplifying this equation gives us:

Amount served this year = 1.7x

We know from the problem that the amount served last year was 180 gallons. Plugging this into our equation, we get:

Amount served this year = 1.7(180)

Simplifying this equation gives us:

Amount served this year = 306

Therefore, the hotel served 306 gallons of orange juice this year.

In summary, we used the information given in the problem to set up an equation and solve for the amount of orange juice served this year. We first found the amount served last year, and then added 70% more of that amount to get the total amount served this year.

Learn more about Advanced Maths:

https://brainly.com/question/25263701
#SPJ4

Suppose the entire pink arc measures 200 degrees and the entire blue arc measures 50 degrees, what would be measure of the manilla angle be?​​

Move the pink point so it becomes tangent to the circle

Answer #1 within this context​

Answers

The answer of the given question based on the circle on finding the measure of the manilla angle the answer will be  the measure of the manila angle is 110° degrees.

What is Circle?

A circle is  closed, two-dimensional shape that consists of all points in  plane that are equidistant from  given point, called center of the circle. The distance from  center to any point on circle is called  radius of the circle.

The circumference of  circle is distance around the circle, and it is equal to 2π times radius. Circles are fundamental concept in geometry and are used in many fields, like physics, engineering, and architecture. They are also used to represent cycles, cycles of time, and the cyclical nature of life.

If the entire pink arc measures 200° degrees and the entire blue arc measures 50° degrees, then the sum of the measures of the three arcs (pink, blue, and manila) is 360° degrees, which is the total measure of a circle.

To find the measure of the manila angle, we need to subtract the measures of the pink and blue arcs from 360° degrees:

360° degrees - 200° degrees - 50° degrees = 110° degrees

Therefore, the measure of the manila angle is 110° degrees.

To know more about Radius visit:

https://brainly.com/question/16623544

#SPJ1

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 2y + 3z = 3.

Answers

The volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 2y + 3z = 3 is 12 cubic units.

To calculate the volume, we can use the formula V = l × w × h, where l = length, w = width and h = height.

The three faces lie on the coordinate planes, so we can use the equation x + 2y + 3z = 3 to find the coordinates of the vertex. We can solve for the values of x, y, and z and plug them into the formula.

We will use the substitution method:

x + 2y + 3z = 3 → x = 3 - 2y - 3zSubstitute the values for x, y, and z into the equation V = l × w × h:

V = (3 - 2y - 3z) × y × z

Learn more about coordinate planes:

https://brainly.com/question/27481419

#SPJ11

Jen’s assignment is to read at least 85 pages of a novel. Jen has read 31 pages. How many pages p does Jen have left to read? Write an inequality that represents this situation. Then solve the inequality

Answers

Jen has 54 pages left to read to meet her assignment requirement.

The inequality that represents this situation is p ≥ 85 - 31

To find how many pages Jen has left to read, we can subtract the number of pages she has already read from the minimum number of pages she needs to read.

The minimum number of pages Jen needs to read is 85, and she has already read 31 pages. So, the number of pages she has left to read, p, can be found by:

p = 85 - 31

p = 54

Therefore, Jen has 54 pages left to read.

To represent this situation with an inequality, we can use:

p ≥ 85 - 31

This inequality states that the number of pages Jen still needs to read, p, must be greater than or equal to the difference between the minimum number of pages she needs to read (85) and the number of pages she has already read (31).

Solving for p:

p ≥ 85 - 31

p ≥ 54

This means that Jen must read at least 54 more pages to meet her assignment requirement.

To learn more about inequality Click here:
brainly.com/question/30228778

#SPJ4

Mrs. Simpkins is buying candy for her daughters class. She wants to give each student 5 pieces of candy and there are 23 students in her daughters class. How much candy will she need to get?

Answers

Answer:

115

Step-by-step explanation:

5 times 23= answer

What value of z should we use when making a 98% confidence interval for p? О 2.33 1.75 o It's impossible to make a 98% CI O 2.88

Answers

The z value when making 98% confidence interval for p will be 2.33.

When making a confidence interval for a proportion, we use the standard normal distribution, and the value of z depends on the level of confidence we want to achieve.

In this case, we want to make a 98% confidence interval, which means that we want to be 98% confident that the true proportion falls within our interval.

To determine the value of z, we can use a z-table or a calculator. The z-value corresponding to a 98% confidence level is 2.33. Therefore, we use 2.33 as our value of z when making a 98% confidence interval for p.

It is not impossible to make a 98% confidence interval, and the value of z is not 2.88. The z-value of 2.88 corresponds to a much higher confidence level of approximately 99.5%. Using a higher confidence level means we can be more confident that our interval contains the true proportion, but it also means that our interval will be wider, which reduces its precision.

Learn more about confidence here:

https://brainly.com/question/13242669

#SPJ4

I know I'm using this app a ton today.

...A store pays $261 for a diving board and marks the price up by 45%. What is the amount of the mark-up?

Answers

Answer:

If the store marks up the price of the diving board by 45%, the selling price will be 100% + 45% = 145% of the cost price.

Let's calculate the selling price:

Selling price = Cost price + Mark-up

Mark-up = Selling price - Cost price

Mark-up = (145% of cost price) - cost price

Mark-up = 0.45 * cost price

We know that the store paid $261 for the diving board, so:

Mark-up = 0.45 * $261 = $117.45

Therefore, the amount of the mark-up is $117.45.

well, what's 45% of 261?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{45\% of 261}}{\left( \cfrac{45}{100} \right)261}\implies \text{\LARGE 117.45}[/tex]

Suppose that s is the position function of an object, given as s(t) = 2t - 7. We compute the instantaneous velocity of the object at t = 6 as follows. Use exact values. First we compute and simplify (6 +h). s(6 + h) = Then we compute and simplify the average velocity of the object between t = 6 and t = 6 + h. 8(6+h) - s(6) h = Rationalize the numerator in the average velocity. (If it applies, simplify again.) $(6 + h) - $(6) h The instantaneous velocity of the object att = 6 is the limit of the average velocity as h approaches zero. s(6 + h) – $(6) v(6) lim h -0

Answers

The instantaneous velocity of the object at t = 6 is 2.

Suppose that s is the position function of an object, given as s(t) = 2t - 7. We compute the instantaneous velocity of the object at t = 6 as follows. Use exact values. First we compute and simplify (6 + h). s(6 + h) = 2(6 + h) - 7 = 12 + 2h - 7 = 2h + 5Then we compute and simplify the average velocity of the object between t = 6 and t = 6 + h.8(6+h) - s(6) h = 8(6 + h) - (2(6) - 7) h= 8h + 56

Then, to rationalize the numerator in the average velocity. (If it applies, simplify again.)$(6 + h) - $(6) h(h(h) + 56)/(h(h)) = (8h + 56)/h The instantaneous velocity of the object att = 6 is the limit of the average velocity as h approaches zero.s(6 + h) – $(6) v(6) lim h -0s(6 + h) – s(6) v(6) lim h -0Using the above calculation, we get:s(6 + h) – s(6) / h lim h -0s(6 + h) = 2(6 + h) - 7 = 2h + 5So,s(6 + h) – s(6) / h lim h -0(2h + 5 - (2(6) - 7)) / h= (2h + 5 - 5) / h = (2h / h) = 2

Therefore, the instantaneous velocity of the object at t = 6 is 2.

Learn more about Instantaneous velocity

brainly.com/question/28837697

#SPJ11

Find the value of x.
22
39
X

Answers

The value of x in the right triangle when calculated is approximately 13.8 units

Calculating the value of x in the triangle

Given the right-angled triangle

The side length x can be calculated using the following sine ratio

So, we have

sin(39) = x/22

To find x, we can use the fact that sin(39 degrees) = x/22 and solve for x.

First, we can use a calculator to find the value of sin(39 degrees), which is approximately 0.6293.

Then, we can set up the equation:

0.6293 = x/22

To solve for x, we can multiply both sides by 22:

0.6293 * 22 = x

13.8446 = x

Rewrite as

x = 13.8446

Approximate the value of x

x = 13.8

Therefore, x is approximately 13.8 in the triangle

Read about right triangle at

https://brainly.com/question/2437195

#SPJ1

What is the decimal of 2 75/100

Answers

2.75  is the decimal of fraction .

In math, what is a fraction? 

The amount is represented mathematically as a quotient, where the numerator and denominator are split. In a simple fraction, both are integers. A complicated fraction includes a fraction, either in the denominator or the numerator.

                                    The numerator and denominator must be smaller in a proper fraction. A fraction is a number that is a component of a whole. A whole is appraised by dissecting it into many sections. Half of a whole number or item, for instance, is represented by the number 12.

= [tex]2\frac{75}{100}[/tex]

 = [tex]2\frac{3}{4}[/tex]

  = 11/4

  =  2.75

Learn more about fraction

brainly.com/question/10354322

#SPJ1

What is the solution set of the equation (show work)

Answers

The solution set of the equation x/3 = 8/(x + 2) when calculated is x = -6 or x = 4

Calculating the solution set of the equation

Given the following equation

x/3 = 8/(x + 2)

Cross multiply

x(x + 2) = 24

To find the solution set of x(x + 2) = 24, we need to solve for x by simplifying the left-hand side of the equation and then factoring it.

x(x + 2) = 24

Expanding the left-hand side, we get:

x² + 2x = 24

Subtracting 24 from both sides, we get:

x² + 2x - 24 = 0

Now we can factor the quadratic expression on the left-hand side:

(x + 6)(x - 4) = 0

Using the zero product property, we know that the product of two factors is zero if and only if at least one of the factors is zero.

Therefore, we can set each factor equal to zero and solve for x:

x + 6 = 0 or x - 4 = 0

Solving for x, we get:

x = -6 or x = 4

So, the solution set is { -6, 4 }.

These are the values of x that make the equation true when plugged in.

Read more about equation at

https://brainly.com/question/2972832

#SPJ1

g in the aftermath of a car accident, it is concluded that one driver slowed to a halt in 19 seconds while skidding 1700 feet. if the speed limit was 60 miles per hour, can it be proved that the driver had been speeding? (hint: 60 miles per hour is equal to 88 feet per second.) we can guarantee that at some time from when the driver first pressed on the brake to when the car came to a complete stop the car was traveling mph. therefore we (can/can not) conclude that the driver was speeding from the information given.

Answers

Yes, it can be proved that the driver had been speeding.

The driver had been speeding since the distance traveled during the 19-second skid is greater than the distance the car would have traveled at 60 mph in the same time. This implies that the driver was traveling at a higher speed than the speed limit before braking.

To explain further, we can calculate the distance a car traveling at 60 mph would cover in 19 seconds, which is 1,672 feet (60 mph = 88 fps, 19 seconds x 88 fps = 1,672 feet). However, the car in question skidded for 1700 feet before coming to a complete stop, which is greater than the distance it would have traveled at 60 mph in the same time. This implies that the driver was traveling at a higher speed than the speed limit before braking. Therefore, it can be concluded that the driver was speeding.

For more questions like Speed visit the link below:

https://brainly.com/question/3100499

#SPJ11

URGENT HELP PLEASE I NEED THE WORK FOR IT TOO

Answers

The value of the x is equal to 7 using the secant tangent angle formula.

What is the secant tangent angle

The secant tangent angle is the angle formed by a tangent and a secant that intersect outside of a circle. The measure of the secant tangent angle can be found using the following formula:

θ = 1/2 (arc EB - arc BD)

where arc EB and arc BD are the measures of the arcs intercepted by the secant and tangent, respectively.

From the question,

θ = m∠NXK = 4x + 6

arc EB = 8x - 13

arc BD = 70° + (6x - 1) = 69 + 6x

4x + 6 = 1/2[69 + 6x - (8x - 13)]

4x + 6 = 1/2(69 + 6x - 8x + 13)

4x + 6 = 1/2(82 - 2x)

4x + 6 = 41 - x

4x + x = 41 - 6 {collect like terms}

5x = 35

x = 35/5 {divide through by 5}

x = 7

Therefore, the value of the x is equal to 7 using the secant tangent angle formula.

Know more about secant tangent here:https://brainly.com/question/9132922

#SPJ1

find a homogeneous linear differential equation with constant coefficients whose general solution is given.

Answers

A  homogeneous linear differential equation with constant coefficients has the form a_

n y^{(n)} + a_{n-1} y^{(n-1)} + ... + a_1 y' + a_0 y = 0,

where a_n, a_{n-1}, etc. are all constants. The general solution of this equation is given by y = c_1 e^{\lambda_1 t} + c_2 e^{\lambda_2 t} + ... + c_n e^{\lambda_n t}, where c_1, c_2, etc. are constants and \lambda_1, \lambda_2, etc. are the roots of the characteristic equation a_n \lambda^n + a_{n-1} \lambda^{n-1} + ... + a_1 \lambda + a_0 = 0.

for such more questions on homogeneous linear differential equation

https://brainly.com/question/22212112

#SPJ11

Write the expression in complete factored form.
3b(4 - 8) - n(u - 8) =please help

Answers

Answer:

12b (1-2) -n (u-8) this is the answer

Other Questions
Find the standard normal area for each of the following(round your answers to 4 decimal places) The judicial power of the legislature is an example of which kind of institutional power?a. nonlegislative powerb. power to persuadec. enumerated powerd. implied power Rank these hypothetical moons from oldest to youngest based on their cratering. You can assume the moons have never been volcanically active.-a moon with very few craters-a moon completely covered in craters, old and new-a moon partially covered with craters kathy's annuity is currently experiencing tax-deferred growth until she retires. which phase is this What if the equation of the line that passes through (-4,5) and is parallel to the line 4x+2y=10 Calculate the mass of a sphere of gold with a radius of 11.3 cm. (The volume of a sphere with a radius r is V = (4/3)r3; the density of gold is 19.3 g/cm3.) Express the solution in grams and in scientific notation. What are verbs?Words that show action or states of being.Words that describe how something is done.Words that tell how or when something happened.Words that give additional details about nouns. four strategies to reduce the impact of human activities on catchment areas I need help with this given the speeds of each runner below, determine who runs the fastest. stephanie runs 8 feet per second. stephanie runs 8 feet per second. katie runs 463 feet in 32 seconds. katie runs 463 feet in 32 seconds. jessica runs 1 mile in 555 seconds. jessica runs 1 mile in 555 seconds. noah runs 728 feet in 1 minute. noah runs 728 feet in 1 minute. Which codon or codons are identical in all three frogs? Which statement is true regarding tidal volume (Vr)? a. It is the volume breathed in each breath. b. It is the volume breathed in each minute. c. It is unaffected by the frequency of breathing Gray and White Matter of the Spinal Cord Each label describes either the gray matter or white matter of the spinal cord. Drag each label to the appropriate box Functions to transmit Contains somas electrical signals over Lateral horn synapses, and Ventral hom Gracile fasciculus long distances dendrites Functions to integrate arriving electrical signals Corticospinal tract Posterior column Marked by low myelination Contains myelinated axons Gray Matter White Matter Ventral horn Posterior column Lateral horn Gracile fasciculus White Matter Gray Matter Ventral horn Posterior column Lateral horn Gracile fasciculus x What are the dimensions of organizational climate? Discuss the challenges that both interviewees mentioned their blended family faced that traditional families might not. 21. Reverse Chronological Resume requires:a. starting with your very first job and listing them in orderb. listing your most recent job firstc. not including volunteerismd. only listing your most recent job Which of the following would be LEAST useful in correlating the ages of these two sequences of rocks?a. numeric ages on the volcanic rocks on topb. the pattern of magnetic reversals (R and N)c. the overall sequence of the upper three layersd. the type of material present in the landslide at the bottom of the right column Question 2) Complete the paragraph by using proper subject verbagreement.Most Indians believe that your name(be) the name the world will call you forever. Theythat choosing a name for a child(be) very important because itvery seriously. We oftenOur name(believe)(be) something that should be taken(has) strong feelings about our name.(be). Some of us(be) part of who we(do) notlike our names and would like to change them. But we can't change our namesas they(be) used in papers since our birth. If we strongly(want) to change them we(has) to fulfill some legal formalities. How did McNeil and the other civil rights activists respond to their treatment at the Woolworth's lunch counter? B. Turn & Talk: How does this story support McNeil's definition of activism? A box of chocolates has 8 red, 12 blue, 5 green and 10 yellow. Express the number of chocolates asratios in their lowest terms.a. red: yellowb.green: yellowc. red: total chocolates