how is the bell shaped histogram?

Answers

Answer 1

A bell-shaped histogram is a type of graph that displays a normal distribution, which is a probability distribution that is symmetrical and has a characteristic bell shape.

The bell-shaped histogram is created by plotting the data on a horizontal axis and the frequency or probability on a vertical axis. The data points are grouped into intervals called bins, and the number of data points that fall into each bin is plotted as a bar. The bars are typically drawn adjacent to one another and connected with lines to create a continuous curve that represents the normal distribution.

The resulting histogram will have a characteristic bell shape, with a high point at the mean, and decreasing frequency or probability as the values move away from the mean in either direction. The width of the curve is determined by the standard deviation of the data, with wider curves indicating greater variation in the data.

The bell-shaped histogram is commonly used in statistical analysis to represent normally distributed data, such as the heights or weights of a population, test scores, or other measurements that tend to cluster around a central value with a predictable range of variation.

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Related Questions

Solve for x provide proofs. Helppp

Answers

Answer:

36 degrees

Step-by-step explanation:

since your trying to find x you know that a wright angle is 90 degrees you minus 54 from 90

PLS HURRY! Q3. What is the slope and y-intercept of the linear function?


The slope is ___ and the y-intercept is ____ .

Answers

The required slope of the linear function is $30, and the y-intercept is $75.

What is slope-intercept equation of line?

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.

According to question:

To find the slope of the linear function, we need to calculate the change in cost divided by the change in time.

Change in cost = $285 - $105 = $180

Change in time = 7 - 1 = 6

Slope = Change in cost / Change in time = $180 / 6 = $30

To find the y-intercept, we can use the point-slope form of a linear equation, y = mx + b, where y is the cost, x is the time, m is the slope, and b is the y-intercept.

Using the point (1, $105), we can substitute x = 1 and y = $105 into the equation and solve for b:

$105 = $30(1) + b

b = $105 - $30 = $75

Therefore, the slope of the linear function is $30, and the y-intercept is $75.

The linear function can be written as: y = $30x + $75, where x is the number of months of membership and y is the cost of the membership.

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The probability of
A video game randomly chooses your car color and type.
getting a
red car is 0.25, and the probability of getting a convertible is 0.40.
Event A = You a get a red car.
Event B = You get a convertible.
A and B are independent events if
• A. The probability of getting a red car or a convertible is 0.10.
• B. The probability of getting a red convertible is 0.
• C. The probability of getting a red convertible is 0.10.
• D. The probability of getting a red car or a convertible is 0.65.

Answers

Answer:

The answer is C, as you'd need to multiply the chance of getting a convertible by the chance of getting a red car, or vice versa.

Step-by-step explanation:

Notice in A it says OR, meaning that it can't be both red and a convertible. B would be impossible, and D would be adding and not multiplying, so C would be the answer. 0.40*0.25=0.10

Write a function that models y in terms of x. Round any coefficients to the nearest tenth.

X 0 5 10 15 20
y 0 4.02 5.69 6.97 8.05

y= ?

Answers

The exponential equation representing the given table is -

y = 2.84(1.072)ˣ.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is a function table as shown in below -

{X}   0     5        10       15       20

{Y}   0  4.02   5.69   6.97    8.05

Let the expression be -

y = A(B)ˣ

At {x} = 5, y = 4.02.

We can write -

4.02 = A(B)⁵                                               ... Eq { 1 }

At {x} = 10, {y} = 5.69

We can write -

5.69 = A(B)¹⁰                                            ... Eq { 2 }

Refer to the graph. The point of intersection represents -

A = 2.84
B = 1.072

The equation would be -

y = 2.84(1.072)ˣ                                      ... Eq { 3 }

Therefore, the exponential equation representing the given table is -

y = 2.84(1.072)ˣ.

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A random sample was taken to determine whether students from a certain grade prefer to wear Brand A, Brand B, or Brand C tennis shoes. There were eleven students in the sample. Two students preferred Brand A, four students preferred Brand B, and five students preferred Brand C.

If there are eighty-eight students in the population, about how many of them would you expect to prefer Brand C?
16
32
55
40

Answers

Answer:

40

Step-by-step explanation:

you can multiply 88 by 5/11 to get 40

The graph below shows the cost of college tuition per credit hour at a local community college.

(graph in image)

Write the equation in slope-intercept form for the cost of college tuition in terms of the number of credits. Then, complete the table of values for the function.

y = __x + __


How much money, y, will it cost to take 12 college credits, x?

It will cost $___.

Answers

Answer:

y = 350x + 225

It will cost $4425 for 12 credits

Step-by-step explanation:

From the two points shown in the graph, we can write the equation of the line.

(5, 1975), (8, 3025)

slope = m = (y_2 - y_1)/(x_2 - x_1) = (3025 - 1975)/(8 - 5) = 1050/3 = 350

y = mx + b

y = 350x + b

1975 = 350 × 5 + b

b = 225

The equation is

y = 350x + 225

For 12 credits, x = 12.

y = 350 × 12 + 225

y = 4425

Answer: It will cost $4425 for 12 credits

Arrange the following decimals in ascending order.
4. 7569 ; 47. 569 ; 4.9675 ; 4.0007 ; 47. 965 ; 47.005 ; 4.5

Answers

Answer:

4.0007, 4.5, 4.7569, 4.9675, 47,005, 47.569, 47.965

Step-by-step explanation:

How to Calculate the Moment of Inertia for a Cylinder?

Answers

The moment of inertia (I) is a measure of an object's resistance to rotational motion around an axis. The moment of inertia of a cylinder can be calculated using the following formula:

I = (1/2) × m × r²

where:

I is the moment of inertia of the cylinder

m is the mass of the cylinder

r is the radius of the cylinder.

Here are the steps to calculate the moment of inertia for a cylinder:

Determine the mass of the cylinder. This can be done by weighing the cylinder on a scale or by using its density and volume. The formula for the mass of a cylinder is:

m = density × volume

Measure the radius of the cylinder. This is the distance from the center of the cylinder to its outer edge.

Substitute the values of m and r into the moment of inertia formula:

I = (1/2) × m × r²

Calculate the moment of inertia using a calculator.

Note that the moment of inertia of a hollow cylinder is different from that of a solid cylinder. To calculate the moment of inertia of a hollow cylinder, you need to subtract the moment of inertia of the hollow space from the moment of inertia of the solid cylinder using the parallel axis theorem.

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Helppp


Find the radius of a circle which has a sector area of 9pi whose central angle is 90 degrees.

Answers

Answer:  6 units

Explanation:

90/360 = 1/4

We have 1/4 of a pizza here. This slice is equal to an area of 9pi square units. The full pizza is 4*9pi = 36pi square units.

Use the circle area formula to determine r.

A = pi*r^2

36pi = pi*r^2

36 = r^2

r = sqrt(36)

r = 6

The circle has radius 6 units.

Kyle runs 18 miles in 112.5 minutes. If he continues at this rate, how long will it take him to complete the marathon (26.2 miles)?

Answers

Kyle's rate is 18 miles / 112.5 minutes, which simplifies to 0.16 miles per minute.

To complete a 26.2-mile marathon at this rate, we can set up a proportion:

18 miles / 112.5 minutes = 26.2 miles / x minutes

Cross-multiplying:

18 miles * x minutes = 112.5 minutes * 26.2 miles

Simplifying:

x = (112.5 minutes * 26.2 miles) / 18 miles

x = 165.625 minutes

Therefore, it will take Kyle 165.625 minutes, or about 2 hours and 46 minutes, to complete the marathon.

Solve the system by substitution.

Answers

Answer:

x=3

y=-34

this should be correct

You examine a contemporary DNA sculpture. You use a
curdboard square to line up the top and bottom of the sculpture with your eye, as shown at the left. Approximate the height of the sculpture

Answers

To answer this correctly, you could provide me with more information or details, I would be happy to try and help you approximate the height of the sculpture.

What is DNA?

DNA (Deoxyribonucleic acid) is a patch that contains the inheritable instructions used in the development and functioning of all living organisms. It's a long, double-stranded, spiral structure made up of four different structure blocks called nucleotides, which are represented by the letters A, T, C, and G. The specific sequence of these nucleotides along the length of the DNA patch determines the inheritable law of an individual organism and is responsible for its unique characteristics and traits. DNA is located in the nexus of cells and is organized into structures called chromosomes. It's essential for the replication of cells and the transmission of inheritable information from one generation to the coming.

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14. A box of mineral water contains 24 bottles from a given factory. A woman bought 135 boxes from the company. If each bottle of water has a mass of 728g, find the total mass in kilograms of all the 135 boxes of water, correct to 1 decimal place.​

Answers

The total mass of the 135 boxes that the woman bought is 2358.7 kg

What is an equation?

An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.

Each bottle of water has a mass of 728g. A box of mineral water contains 24 bottles from a given factory, hence:

Mass of each box = 24 bottles * 728 g per bottle = 17472 g

The woman bought 135 boxes, therefore:

Total mass of boxes =  135 boxes * 17472 g per box = 2358720 g

But 1 kg = 1000 g

2358720 g = 2358720 g * 1 kg per 1000 g = 2358.7 kg

The total mass is 2358.7 kg

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Seth made a small rectangular table for his workroom. The sides of the table are 36" and 18". If
the diagonal of the table measures 43", is the table square? A table which is "square" has right
angles at the corners.

Answers

No, the table is not a square.

What is a square?

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.

Given that, Seth made a small rectangular table having sides 36" and 18", and the diagonal measures 43",

Squares has congruent sides,

But here the sides are 36" and 18"

Hence, the table is not a square.

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PLEASEEEE HELP ASAP
Solve for x. Round your answer to the nearest tenth.

Answers

The value for x is x= [tex]sin^{-1[/tex] (0.5425).

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

H= 25

B = 21

Using Pythagoras theorem

P = √H² - B²

P = √25² - 21²

P = √184

P =  2√46

Using Trigonometry

sin x = P / H

sin x = 2√46 / 25

x= [tex]sin^{-1[/tex] (0.5425)

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4. Greta has finished reading 15 pages from a 20-page
magazine article. Which decimal represents the
fraction of the 20 pages Greta read?
A. 0.15
B. 0.35
C. 0.75
D. 1.33

Answers

Answer: C. 0.75

Step-by-step explanation:

formulate 15 ÷ 20
= 15/20
= 3/4 (convert 3/4 to a decimal)
= 0.75

Name the segments in the figure below.
**SCREENSHOT INCLUDED**

Answers

The segments in the figure are:

segment QT

segment QR

segment QS

segment RS

segment ST

segment RT

How to differentiate between a ray and a line?

A line is a straight path of points that has no beginning or end.

A ray is a portion of a line which has one endpoint and extends forever in one direction.

Note: the arrow is an indication no endpoint.

Let's put the definitions:

Line QT (lines are bound by two arrows pointing left and right)

ray ST (rays are bound by a dot and an arrow)

ray RT

ray QT

ray TQ

ray SQ

ray RQ

segment QT (segments are bound by two dots)

segment QR

segment QS

segment RS

segment ST

segment RT

Check the attached image for the correct selection

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what is 250 seconds in minutes

Answers

We know that 60 second is equal to 01 Minutes.

and 90 second is equal to 01 and half minutes.

Therefore, 04 minutes and 10 seconds consists 250 second.

Second:

The second is the critical unit of time. The default unit of time in the SI system of units. It can be defined as the time required for an electromagnetic field to propagate through a vacuum of 3 x 10 5 km.

1 solar day consists of 86,400 seconds. One minute is 60 seconds.

The second is not small enough and is limited to use by scientists and engineers, so we got a smaller unit like this:

1 millisecond equals 10 -3 seconds.1 microsecond, equal to 10 -6 seconds.1 nanosecond, 10 -9 seconds.10 -1 picosecond equal to 12 seconds.

Minutes:

Minutes are a significant unit of time. Equal to 60 seconds. One hour includes 60 minutes. Minutes can be expressed as min. Included in the SI measurement system.

According to the Question:

250 seconds = 4 minutes and 10 seconds.

To obtain this result proceed as follows:

Divide 250/60, take the integer part of INT(250/60) and write it as minutes: 4.

Calculate the remainder, MOD(250,60), and write it down as seconds: 10.

Proof: (4 × 60) + 10 = 250.

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If you were given the choice of between more initial zombies, but a slower growth rate or fewer initial zombies, but a greater growth rate, which would you pick and why? use at least 3 of these words in the answer, initial value, rate of change, exponential growth or exponential decay.

Answers

I would chose more initial zombies, but a slower growth rate because when they grow stronger, you get stronger so you have a better chance of survival if their development rate is gradual, giving you time to collect weapons and construct a shelter.

What is growth rate?

Growth rate refers to the percentage increase or decrease in a particular variable over a specific period of time. It is commonly used in finance, economics, and business to describe the rate of change of various economic indicators such as gross domestic product (GDP), population, revenue, profit, and so on.

To calculate the growth rate, you need to divide the difference between the final value and the initial value of the variable by the initial value, and then multiply the result by 100 to express it as a percentage. The formula for growth rate is as follows:

Growth rate = ((Final value - Initial value) / Initial value) x 100

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Find the area inside the loop of the following limacon: r=7−14sinθ

Answers

The area inside the loop of the limacon given by the polar equation r = 7 - 14sin(θ) is 294π square units.

To find the area inside the loop of the limacon given by the polar equation r = 7 - 14sin(θ), we need to evaluate the integral for half of the area and then double the result.

The curve of the limacon has a loop when 0 ≤ θ ≤ π, so we integrate from 0 to π. The area can be calculated as follows:

A = 2 ∫₀^π 1/2 r² dθ

Using the equation for r given, we can substitute and simplify:

A = 2 ∫₀^π 1/2 (7 - 14sin(θ))² dθ

A = 2 ∫₀^π 1/2 (49 - 196sin(θ) + 196sin²(θ)) dθ

A = ∫₀^π (98 - 392sin(θ) + 392sin²(θ)) dθ

Using the trigonometric identity 1 - cos(2θ) = 2sin²(θ), we can simplify further:

A = ∫₀^π (98 - 392sin(θ) + 196 - 196cos(2θ)) dθ

A = ∫₀^π (294 - 392sin(θ) - 196cos(2θ)) dθ

Integrating with respect to θ:

A = [294θ + 392cos(θ)sin(θ) + 98sin(θ)]₀^π

Evaluating at the limits of integration, we get:

A = [294π + 0 + 0] - [0 + 392cos(0)sin(0) + 98sin(0)]

A = 294π - 0 - 0 = 294π

Therefore, the area inside the loop of the limacon r = 7 - 14sin(θ) is 294π square units.

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1 kilograms of pears cost as much as 1. 5 kilograms of apples. Alex paid $34. 20 for 4 kilograms of pears and 3 kilograms for apples. How much did 1 kilogram of pears cost?

Answers

The cost of 1 kilogram of pears is $5.70.

How determine the cost

The cost of 1 kilogram of pears can be found by using the given information and setting up an equation. First, let's repeat the question: "1 kilogram of pears cost as much as 1.5 kilograms of apples. Alex paid $34.20 for 4 kilograms of pears and 3 kilograms for apples. How much did 1 kilogram of pears cost?"

Let's assign variables to the unknowns:

- P = cost of 1 kilogram of pears

- A = cost of 1 kilogram of apples

From the question, we know that:

- 1P = 1.5A - 4P + 3A = 34.20

Now, we can use substitution to solve for P.

1. Substitute 1.5A for P in the second equation: 4(1.5A) + 3A = 34.20

2. Simplify: 6A + 3A = 34.20

3. Combine like terms: 9A = 34.20

4. Solve for A: A = 34.20/9 A = 3.8

5. Substitute 3.8 for A in the first equation: 1P = 1.5(3.8)

6. Solve for P: P = 5.7

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10x-9y=46 and -2x+3y=5 solve using elimination

Answers

Answer:

x = 15.25

y = 71/6

Step-by-step explanation:

10x -9y = 46

-2x + 3y = 5

Time the second equation by 5

10x - 9y = 46

-10x + 15y = 25

6y = 71

y = 71/6

Now put 71/6 back in for y and solve for x

10x -9(71/6) = 46

10x -106.5 = 46

10x = 152.5

x = 15.25

Let's check

-2(15.25) +3(71/6) = 5

-30.5 + 35.5 = 5

5 = 5

So, x = 15.25 and y = 71/6 is the correct answer.

Alice is willing to spend $30 on a pair of jeans and has a coupon for $10 off she found online. She selects and purchases a $35 pair of jeans, pre-discount. Determine whether this would create a producer or consumer surplus and calculate the ensuing surplus.

Answers

Consumer surplus $5 as we solve the Q by given data

Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.

Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

Consumer Surplus = Willingness to Pay - Price of the Good.

Item Price = $35 - $10 = $25

$30 - $25 = $5

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

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In an online game, you receive -3 points for every banana your character slips on during a race. The total points from slipping on bananas during one race were at most -27. When the character slips, it takes 2 seconds for him to resume the race. Write and solve an inequality to find the least number of bananas your character slipped on. At least how many seconds of race time

Answers

Answer: Let's call the number of bananas your character slipped on as "x". Then, the total points from slipping on bananas would be -3x. And since the total points from slipping on bananas during one race were at most -27, we can write an inequality to represent this:

-3x ≤ -27

Now we'll solve for x:

Divide both sides by -3:

x ≥ 9

So, the least number of bananas your character slipped on is 9.

To find the least number of seconds of race time, we need to multiply the number of bananas by 2 seconds per banana:

9 bananas * 2 seconds/banana = 18 seconds

So, the least amount of race time your character took to slip on bananas is 18 seconds.

Step-by-step explanation:

independent vairable can change what?

Answers

An independent variable is a variable that can be changed or manipulated in a scientific experiment.

What is independent variables?

Independent variables are variables in an experiment or research study that are independent of other variables, meaning they are unaffected by the other variables in the experiment. Independent variables are often manipulated by the researcher and are used to observe the effect on a dependent variable. Examples of independent variables include the type of treatment, the level of education, the amount of money offered, and the type of incentive.

It is used to determine the effect that the change has on the dependent variable, which is the variable being tested and measured in the experiment. By changing the independent variable, researchers can observe how the change affects the dependent variable. Examples of independent variables include the amount of light, temperature, time, type of material, and other factors that could influence the outcome of the experiment.

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The number of people signed up for a bus trip increased from 32 to 45.what is the percent increase round to the nearest percent

Answers

Answer:

41

Step-by-step explanation:

You got to first divide 45 by 32. Which is 1.40625 so 1.40625 - 1 = 0.40625 x 100 = 40.625. Round to the nearest whole percent ... 41

Solve for “x” (round your answer to the nearest tenth).
8
8.2
9
16

Answers

The value of x in the triangle is 8.2 units

How to determine the value of x

From the question, we have the following parameters that can be used in our computation:

Angle = 12 degrees

Hypotenuse = x

Length = 8

The length of hypotenuse, x is calculated as

cos(12) = 8/x

Make x the subject of the formula

x = 8/cos(12)

Evaluate the expression

x = 8.2

Hence, the value of x is 8.2 units

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Solve for x show proofs

Answers

The value of the hypotenuse , x is 19.2

How to determine the value of the hypotenuse , x

From the question, we have the following parameters that can be used in our computation:

Rise = 17

Length = 9

The value of the hypotenuse , x is calculated as

x^2 = Rise^2 + Length^2

Substitute the known values in the above equation, so, we have the following representation

x^2 = 17^2 + 9^2

So, we have

x^2 = 370

Take the square root of bpth sides and evaluate

x = 19.2

Hence, the value of x is 19.2

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What is the value of 30 ml in teaspoon?

Answers

The conversion from ml to teaspoon is 1 ml = 0.202884 tsp. This means that 30 ml is equal to 6.08652 teaspoons.

This conversion can be calculated by multiplying the volume in ml with 0.202884. The formula for this conversion is Volume (tsp) = Volume (ml) x 0.202884. For example, if the volume is 30 ml, the calculation would be 30 ml x 0.202884 = 6.08652 tsp. This means that 30 ml is equal to 6.08652 teaspoons.To convert between other units of volume, such as liters and gallons, the conversion factor must be changed. For example, to convert from liters to teaspoons, the conversion factor would be 0.0147867. To convert from gallons to teaspoons, the conversion factor would be 76.7526. It is important to remember that the conversion factor must be changed depending on the units being converted.In conclusion, 30 ml is equal to 6.08652 teaspoons. The conversion from ml to teaspoon is done by multiplying the volume in ml with 0.202884. To convert between other units of volume, the conversion factor must be changed.

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How long will it take Ramon to read the entire novel if he continues to read his current rate

Answers

Based on the provided information, a. Ramon reads faster and b.it will take Ramon approximately 16.77 hours to read the entire novel if he continues to read at his current rate.

To answer this question, we need to calculate the reading rate of both Skyler and Ramon, and then compare them to see who reads faster. We also need to use Ramon's reading rate to calculate how long it will take him to read the entire novel.

a. To calculate Skyler's reading rate, we can divide the number of pages she has read by the number of hours she has spent reading:

Skyler's reading rate = 145 pages / 5 hours = 29 pages/hour

Similarly, we can calculate Ramon's reading rate:

Ramon's reading rate = 124 pages / 4 hours = 31 pages/hour

Since Ramon's reading rate is higher than Skyler's, Ramon reads faster.

b. To calculate how long it will take Ramon to read the entire novel, we can use his reading rate and the total number of pages in the novel:

Time = Total number of pages / Reading rate

Time = 520 pages / 31 pages/hour = 16.77 hours

So, it will take Ramon approximately 16.77 hours to read the entire novel if he continues to read at his current rate.

In conclusion, Ramon reads faster than Skyler, and it will take him approximately 16.77 hours to read the entire Vigo the Vampire Hunter novel at his current reading rate.

Note: The question is incomplete. The complete question probably is: The new Vigo the Vampire Hunter novel is 520 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 hours. a. Who reads faster, Skyler or Ramon? b. How long will it take Ramon to read the entire novel if he continues to read at his current rate? Explain.

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the monitor and control step of the planning process comes after which step? Which of the following is the most convincing piece of evidence set forth to support the concept of sea floor spreading?A) The correlation of rocks found in adjacent positions on matching continents.B) The mid-ocean ridge is entirely volcanic in origin.C) The mid-ocean ridge rises more than 2.5 kilometers above the surrounding deep-ocean floor.D) The oceanic pattern of alternating reversals of Earths magnetic field.E) None of the above the declaration of independence says that all men are endowed by their creator with certain unalienable rights. therefore it probably follows that a creator exists. URGENT HELP WRITE A SIMILARITY STATEMENTRELATING THE THREE RIGHT TRIANGLES.Complete each proportion discuss methods that entrepreneurs often use to identify new opportunities. If x is a continuous random variable then P(xA)=A. P(XB. 1-P(X>A)C. P(X>A)D. 1-P(X Four friends plan to rent a car to go on a camping trip. At the campground the friends sign up to go on a mountain bike tour. It costs 90$ to rent the equipment and 100 Why would the British aid the Native Americans? part of anthony downs's rational-choice model is that ____. group of answer choices a. voters want to maximize the chance that their preferred policies will be adopted by government logic and reason b. always prevail in the american electorate party c. identity will lose its importance over the next 100 years d. voters are acting rationally when they vote against their self-interest If 0 360, then find angle(s) .2) tan=1 write on nitrogen and state it uses and explain it process and draw a nitrogen cycle and explain it test A collection of 1.251019 electrons has the charge of...?answers choices: -3c, -1c, or -2c which of the following choices is an example of business inputa. landb. wood used to make furniturec. mental used to build carsd. all of the choices are correct Joshua has written an argumentative essay on the value of teaching sculpture to primary school students Which sentencewould de the best concluding statement for this essay?A.Sculpting helps children appreciate nature because they learn tosee the beauty in their surroundings andgain knowledgeabout the rich cultures of different countries.Some people may think that sculpture is a complex art bestleft out of the school curriculum, but thesefindings confirm that it helps childrenlearn several essential skills.Children should learn sculptingin schools because they can express themselves through sculpture, whichhelps themchannel their emotions in a productive manner.Children should learn sculpting as part of their school curriculum because sculpting has a positiveinfluence on their emotional development. Alice is willing to spend $30 on a pair of jeans and has a coupon for $10 off she found online. She selects and purchases a $35 pair of jeans, pre-discount. Determine whether this would create a producer or consumer surplus and calculate the ensuing surplus. Social Awareness is your ability to accurately pick up on emotions in other people and understand what is really going on. True/False? how does sentence structure affect comprehension? Stephanie receives the following marginal utilities from the first four Disney collectible pins that she buys each year, respectively: 20, 15, 10, and 5. If each collectible pin sells for $10, then the marginal utility per dollar spent on the third collectible pin isa. 45b. 5c. 10d. 4.5e. None of the above answers are correct. how many points does a hard inquiry affect credit score? The box plots show a random sample of wait times for two rides at a water park.The median wait time for Speed Slide is2 minutes longer than the medianwait time for Wave Machine. The IQR forboth rides is 6 minutes.Express the difference in the medians as amultiple of the IQRs.The difference in the medians isthe IQR.timesWait Times for RidesSpeed SlideWave Machine5 7119Time (min)74138596+158