The following are characteristics of a normal curve except for three. Determine which of the following are not characteristic of a normal curve. I. The mode and median occur at µ. II. The curve is symmetric about the vertical axis through the mean µ. III. The normal curve is asymptotic to the vertical axis on both sides. IV. The total area under the curve and above the vertical axis is equal to 1. V. The probability that the normal random variable is equal to a specific discrete value is always zero, since the normal random variable is continuous. VI. The probability that the normal random variable is between two values is given by the area under the curve between the two given values and the vertical axis. A. VI,I,II B. III,IV,VI C. I,V,II D. II,IV,VI

The required number maximum number of copies can be afforded c < 13.33.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have $4.00 and you need to make copies of a flyer at a store that charges $0.30 per copy.

Here,

Let the number of copies be c,

According to the question,

0.30c < 4

c < 4/ 0.30

c < 13.33

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The height of the cylindrical tub of ice cream is 6.75 inches.

A cylinder is a 3 dimensional shape which has a curved side and two circular surfaces. The total surface area can be determined by the expression;

total surface area of a cylinder = 2πr^2 + 2πrh

where r is the radius of it circular surface, and h is its height.

Considering the given question, we have;

total surface area of a cylinder = 2πr^2 + 2πrh

But total surface area = 183.69 square inches

r = D/2

  = 6/ 2

r = 3 inches

Thus,

183.69 = 2*3.14*3^2 + 2*3.14*3*h

           = 56.52 + 18.84h

183.69 - 56.52 = 18.84h

127.17 = 18.84h

h = 127.17/ 18.84

  = 6.75

The height of the cylindrical tub of ice cream is 6.75 inches.

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Answer: The answer is (C) 6.75

Step-by-step explanation:

The formula for Surface Area is: SA = 2πr^2 + 2πrh

Let's do the first part: 2πr^2

So you need to find the radius, which is half the diameter. 6 is the diameter so half that, and you get 3.

Now, times 3 by itself

3 * 3 = 9

And then times 9 by 2

9 * 2 = 18

And times 18 by pi, 3.14

18 * 3.14 = 56.52

Now that we have our first value, lets move on to the second part of the formula: 2πrh

So we need the diameter, and the question gives us the value of the diameter.

6 is the diameter

so times 6 by pi, 3.14

6 * 3.14 = 18.84h  (leave h there because we don't know the height)

Now do this:

183.69 =  56.52 + 18.84h

You cannot add 56.52 and 18.84h because they are not like terms

So take away 56.52 from both sides

56.52 - 56.52 = 0

183.69 - 56.52 = 127.17

Now divide 127.17 by 18.84h

127.17/18.84  = 6.75 inches

Here is proof that my answer is correct. I have a photo of my results and it shows that 6.75 inches is correct. Here is the photo:

Have a an amazing day

Answer:

Step-by-step explanation: n The graph is of an absolute value function. Step-by-step explanation: For x ≥ 0, the graph is given by. ⇒ x + 2y = 6. ⇒. ⇒ ........ (1).

Missing: 50 ‎32 ‎2₁

Hope that helps:)

B. y = 5x² represents a proportional relationship.

In a proportional relationship, the ratio of the dependent variable (y) to the independent variable (x) is constant. In this equation, as x increases, y also increases by a constant factor (5 times x). This indicates that the two variables are proportional to each other.

In A. y = 4x + 1 and C. y = 9, there is no constant ratio between y and x, so they do not represent proportional relationships.

The value of x and y in the right triangle are as follows:

x = 15√3 units

y = 30 units

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles of a right angle triangle is 180 degrees.

The side x and y can be found using trigonometric ratios,

tan 60° = opposite / adjacent

tan 60° = x / 15

cross multiply

x = 15 tan 60°

x = 15 × √3

x = 15√3 units

Let's find y as follows:

cos 60° = adjacent / hypotenuse

cos 60° = 15 / y

cross multiply

y = 15 / cos 60

y = 15 ÷ 1 / 2

y = 15(2)

y = 30 units

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An exponential decay function that shows the relationship between y and t is y = 16,000 (0.74)^t.

An exponential decay function is one of the two types of exponential functions, including an exponential growth function.

Exponential functions are depicted as y = abˣ, where "a" is a constant, b is the base and x is the variable exponent.

The purchase value of a car = $16,000

Annual decreasing rate in value = 26%

Decayed value after 1 year = 0.74 (1 - 26%)

Let the number of years after the purchase = t

Let the resale value of the car after t years = y

Resale value after t years, y = 16,000 x (1.074)^t

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Answer:

The record high temperature of 118°F is 63°F higher than the mean temperature of 55°F. The record low temperature of -40°F is 95°F lower than the mean temperature of 55°F. The record high temperature of 118°F is closer to the mean temperature than the record low temperature of -40°F by 32°F.

Answer: D (210.00)

Step-by-step explanation:

According to the formula of compound INTEREST this is correct

Answer:

  W = 680 in

Step-by-step explanation:

You want the length of side w in ∆VWX, where w = 680 in, X = 15°, and V = 116°.

As written, this seems to be a problem in reading comprehension. You are asked for one of the values that is given in the problem statement:

  W = 680 inches

__

Additional comment

The attachment shows the solution of the triangle. In this, we have used ∆ABC ≅ ∆VWX.

Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.

Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.

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The median of the given standard data set 9, 3, 10, 12, 4, 5, 12, 2 will be calculated approximately to 7. So , the median of the dataset is 7.

The median is a measure of central tendency that gives us an idea of where the "middle" of a data set lies. In other words, it gives us a value that separates the data set into two equal parts, with half of the values being above the median and the other half being below the median.

To find the median of a data set, the first step is to arrange the values in ascending or descending order. This makes it easier to identify the middle value(s) in the data set.

If the data set has an odd number of values, then there is a single middle value and that value is the median. For example, if we have the data set: 1, 2, 3, 4, 5, the median would be 3 because it is the middle value in the ordered set.

If the data set has an even number of values, then there are two middle values and the median is the average of those two values. For example, if we have the data set: 1, 2, 3, 4, 5, 6, the median would be the average of 3 and 4, which is (3 + 4) / 2 = 3.5.

So, in the case of the data set: 9, 3, 10, 12, 4, 5, 12, 2, we arrange the values in ascending order: 2, 3, 4, 5, 9, 10, 12, 12. Since there are 8 values, which is an even number, there are two middle values: 5 and 9. The median is the average of these two values, which is (5 + 9) / 2 = 7.

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The factored form of the quadratic equation is given as follows:

y = 3(x + 0.6667)(x - 6).

The quadratic equation for this problem is defined as follows:

3x² - 16x - 7 = 5.

3x² - 16x - 12 = 0.

The coefficients are given as follows:

a = 3, b = -16, c = -12.

Hence the discriminant is of:

D = (-16)² - 4(3)(-12)

D = 400.

Then the roots are of:

Considering the leading coefficient of 3 and the roots, the factored form of the equation is given as follows:

y = 3(x + 0.6667)(x - 6).

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Answer: a = 2 because 1 + 1 = 2

Step-by-step explanation:

I got 9 7/9 by using a calculator

The answer is 1.6!!!

How old are?

Answer:

We can use the proportion:

48 pages / x = 80% / 100%

where x is the required length of the paper in pages.

First, we can simplify the right-hand side of the equation:

80% / 100% = 0.8

Next, we can solve for x by cross-multiplying:

48 pages / 0.8 = x

x = 60 pages

Therefore, the required length of the paper is 60 pages

Answer:

My friend didn't factorise the x in 4xy out.

Step-by-step explanation:

15x-20xy= 5x(3-4y)

One mile is equal to 5,280 feet. Therefore, to convert the altitude of Denver from miles to feet, we can multiply by 5,280:

1 mile × 5,280 feet/mile = 5,280 feet

So, Denver's altitude of 1 mile is equal to 5,280 feet.

(x^2 - 7x - 18)/(x + 2) = x - 9 can be simplified by multiplying both sides of the equation of x + 2. The new equation is x^2 - 7x - 18 = x^2 - 7x - 18. Therefore the equation's solution is all real numbers.

-9(k-5+2k-8) and -27k+117 are equivalent expressions since the solution of -9(k-5+2k-8) = -27k+117.

Equivalent expressions are algebraic expressions that produce the same answer when being simplified. They are said to be a similar expression for whatsoever process used to solve the expression, either by substitution of values or applying mathematical property, they tend to produce equivalent expressions at the end. The equality sign is used between two algebraic expressions that are said to be equivalent.

Given that:

= -9(k-5+2k-8)  

Open brackets

= -9k + 45 - 18k + 72

= -27k + 117

Therefore, we can say  -9(k-5+2k-8) and -27k+117 equivalent expressions are equivalent expressions.

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The value of the number one-tenth more than 13.7 is 13.8.

In geometry, a polygon is a type of plane figure and is defined as a closed polygonal chain made up of a finite number of straight-line segments. A region that is enclosed by a bounding plane, a bounding circuit, or both are referred to as a polygon. The portions of a polygonal circuit are referred to as its edges or sides.

Given that numbers are one-tenth and 13.7.

More means add two numbers.

One-tenth = 1/10

The number one-tenth more than 13.7 is

1/10 + 13.7

= 0.1 + 13.7

= 13.8

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The account with compound interest of 7.2 % quarterly after 5 years is given by A = $ 1,428.75

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the amount after compound interest be represented as A

Now , the equation will be

The initial principal amount = $ 1000

The rate of interest r = 7.2 %

The number of times interest is applied n = 4 ( quarterly )

The number of years b = 5 years

A = P ( 1 + r/n )ⁿᵇ

Substituting the values in the equation , we get

A = 1000 ( 1 + 0.072/4 )⁴ˣ⁵

On simplifying the equation , we get

A = 1000 ( 1 + 0.018 )²⁰

On further simplification , we get

A = 1000 ( 1.018 )²⁰

A = $ 1,428.75

Hence , the amount after 5 years is $ 1,428.75

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The manager would expect 1000 defective players in the shipment.

A store receives a shipment of 5,000 mp3 players out of which 300 were found to be defective.

The clerk lets the numbers 1 through 300 represent defective mp3 players, and the numbers 301 through 5,000 represent working mp3 players.

The results are given AS:

2,806 623 232 3,955 3,799 657 2,140 262 844 561

This means that out of the 10 samples 2 were found to be defective and 8 were in the working condition.

( Since the number 232 and 262 represent the defective mp3 players as they are the numbers which are less than or equal to 300 )

Hence, the Probability that the mp3 players were defective is:

P( defective)=2/10=1/5

Hence, out of 5000 mp3 players the number of players that clerk predict to be defective are:

P( defective)×5000

= 1/5 × 5000

= 1000.

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Answer:i got u mate

The answer is a _10×+8y=15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x be the number of $1.78 paperback books and y be the number of $2.51 hardcover books that were sold. The total number of books is x + y = 30 and the total amount of money earned is $62.16. The cost of the paperback books is x * $1.78 and the cost of the hardcover books is y * $2.51.

So, we have the following system of equations:

x + y = 30 (the total number of books is 30)

x * $1.78 + y * $2.51 = $62.16 (the total amount of money earned is $62.16)

This system of equations can be used to determine the number of $1.78 paperback books and the number of $2.51 hardcover books that were sold at the yard sale.

Stoichiometry formula is founded on the basis that law of conservation of mass where the total mass of the reactants = total mass of the products.

This is referred to as the relationship between the relative quantities of substances taking part in a reaction or forming a compound, typically a ratio of whole integers.

The stoichiometry of a balanced chemical equation identifies the maximum amount of product that can be obtained. The stoichiometry of a reaction describes the relative amounts of reactants and products in a balanced chemical equation.

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The surface area of a solid object is a measure of the total area that the surface of the object occupies.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Area = length x breadth

To find the surface area of the postal box, we first find the area of each sides of the box and add them together.

Top and bottom area = L x B = 12 x 8 = 96inches² x 2 = 192inches²

Front and back areas = L x B = 12 x 2 = 24inches² x 2 = 48inches²

Area of the sides = L x B = 8 x 2 = 16inches² x 2 = 32inches²

Total surface area will be 192 + 48 + 32 = 272inches²

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Answer:

84

Step-by-step explanation:

A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

To solve for 150% of 56, we can multiply 56 by 150%.

Therefore, 150% of 56 is 84.