The coefficient of variation is measured on a scale from 0 to 100. O a measure of correlation for two variables. none of the options is correct. O helpful when the sample means are zero. O a unit-free statistic.

Answer:

13366.25 in³

Step-by-step explanation:

The volume of a box can be found by multiplying the base area and height together.

Volume of a box

= base area ×height

= 314.5(8.5)

= 2673.25 in³

Volume of 5 boxes

= 5(2673.25)

= 13366.25 in³

Answer:

13,366.25

Step-by-step explanation:

314.5 x 85 = 2,673.25

2,673.25 x 5 = 13,366.25

Answer:

85 miles per hour

Step-by-step explanation:

The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

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Answer:

\(49\:\mathrm{in^2}\)

Step-by-step explanation:

The area of the composite figure consists of two rectangles. Thus, the total area of the figure is:

\(8\cdot 3+5\cdot 5=24+25=\boxed{49\:\mathrm{in^2}}\)

When selecting the appropriate number of treatment conditions, it is essential to consider factors such as resources, research complexity, and confounding variables.

Having conditions that are proportional to each other means that the level or intensity of each condition varies in direct proportion to the others, such that if one condition is increased or decreased, the others are also adjusted in a corresponding manner.

When choosing the appropriate number of treatment conditions for an experiment, there are several issues to consider. One of these is the ability to distinguish differences between treatment conditions.

Having conditions that are proportional to each other means that the differences between treatment conditions are consistent across all levels of the independent variable. In other words, if the independent variable increases by a certain amount, the difference between the treatment conditions remains constant. This can be important for ensuring that the treatment effects are interpretable and generalizable to other populations.

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Given:

ABCD is a parallelogram.

To prove:

Proof:

Hence proved.

1968 of the $10 dollar ticket were sold by jazz & 6873  of the $20 dollar ticket were sold by jazz.

Jazz total amount received = $157,437

Total tickets sold = 8,856

Let the $10 tickets sold = x

The $20  tickets sold = 8,856 - x

Here the solution below :

$10(x) + 8,856 - x($20) = $157,437

$10x + $177120 - $20x = $157,437

-$10x = $157,437 - $177120

-$10x = - $19683

x = 1968.3

1968 of the $10 dollar ticket were sold by jazz & 6873  of the $20 dollar ticket were sold by jazz.

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Let x be the global workforce before the layoffs.

by question

Hence there are almost 124367 workforces before the layoffs

Answer:

\(\frac{\sqrt{3}}{2}\)

Step-by-step explanation:

Sine is positive in the second quadrant, so:

\(\sin \frac{240^{\circ}}{2}=\sqrt{\frac{1-\cos 240^{\circ}}{2}} \\ \\ =\sqrt{\frac{1.5}{2}} \\ \\ =\sqrt{3/4} \\ \\ =\frac{\sqrt{3}}{2}\)

The function f(x) can take on any real value, the range is (-∞, ∞), representing all real numbers.

The domain of a function is the set of all possible input values (x) for which the function is defined. The range of a function is the set of all possible output values (f(x)).

For the function f(x) = |2x - 1| - 3, we need to consider two cases based on the absolute value:

Case 1: When 2x - 1 ≥ 0

In this case, the absolute value term |2x - 1| evaluates to 2x - 1, and the function becomes:

f(x) = 2x - 1 - 3 = 2x - 4

Case 2: When 2x - 1 < 0

In this case, the absolute value term |2x - 1| evaluates to -(2x - 1), and the function becomes:

f(x) = -(2x - 1) - 3 = -2x + 2 - 3 = -2x - 1

Now let's consider the domain and range:

Domain:

The function f(x) = |2x - 1| - 3 is defined for all real numbers since there are no restrictions on the input variable x. Therefore, the domain is (-∞, ∞), representing all real numbers.

Range:

In Case 1, the function f(x) = 2x - 4 represents a linear function with a slope of 2. The range of this linear function is (-∞, ∞), covering all real numbers.

In Case 2, the function f(x) = -2x - 1 represents another linear function with a slope of -2. The range of this linear function is also (-∞, ∞), covering all real numbers.

Since the function f(x) can take on any real value, the range is (-∞, ∞), representing all real numbers.

In summary:

Domain: (-∞, ∞)

Range: (-∞, ∞)

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The fact that the statistical uncertainty is equal to the instrumental uncertainty does not imply that there is no way to improve the experiment. The instrumental uncertainty represents the uncertainty associated with the measuring instrument or apparatus used in the experiment, while the statistical uncertainty is related to the variability in the measured data.

Even if the statistical uncertainty matches the instrumental uncertainty, there could still be opportunities for improvement in the experiment. For example, one could explore reducing systematic errors, improving the precision of the instrument, increasing the sample size, or implementing better experimental techniques to reduce random errors.

So, even if the statistical uncertainty matches the instrumental uncertainty, it does not necessarily mean that the experiment cannot be further improved. So the given statement is False.

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Triangle AFC is the triangle that appears to be consistent with triangle AFD.

Shapes that are identical to one another are said to be congruent. Both the matching sides and the corresponding angles match. There is an obtuse angle, or angle AFD, same like in the give triangle AFD.

Therefore, the opposite triangle must have an obtuse angle in order to be a congruent triangle. Only triangle AFC, out of the three that are given, has an acute angle. Additionally, they both support the same side, increasing the likelihood of congruence. There is no obtuse angle in the triangles BFC and DFE.

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Answer:22

Step-by-step explanation:

h + i3 = ?

19 + 1X3 = 22

Answer:

h + i3 = 22

Step-by-step explanation:

Given expression,

→ h + i3

→ h + 3(i)

Now we have to use,

→ i = 1

→ h = 19

Let's simplify the expression,

→ h + 3(i)

→ 19 + 3(1)

→ 19 + 3

→ 22 => {final answer}

Hence, the solution is 22.

Answer:

{y,x} = {7,-1}

Step-by-step explanation:

(-7x) + 3x = 4

- 4x = 4

 4x = - 4

x = - 1

   y = -7x

   x = -1

   y = -7(-1) = 7

The value of the sample statistic is used to estimate the value of the population parameter.

The sample statistic is the value that is calculated from the sample data, which is used to make inferences about the population parameter. Sample statistics are used to estimate population parameters. A sample statistic is an estimate of a population parameter that is obtained from a sample, whereas a population statistic is a value that is computed from a population.

Therefore, the correct answer is a. sample statistic.

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Cindy's average tax rate is approximately 13.59%.

To calculate Cindy's average tax rate, we divide the total tax paid by her taxable income and then multiply by 100 to express it as a percentage.

Average tax rate = (Total tax paid / Taxable income) * 100

In this case, Cindy's taxable income is $65,500, and she has calculated that she will owe $8,902 in taxes.

Average tax rate = (8,902 / 65,500) * 100

Average tax rate ≈ 13.59%

Therefore, Cindy's average tax rate is approximately 13.59%.

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Cindy is projecting her earnings to be $90,000, a taxable income of $65,500, and has calculated that she will owe $8,902. Her average tax rate is 13.60%.

How to find the average tax rate?

The average tax rate is determined by dividing the total tax paid by the total income earned. The average tax rate is calculated by dividing the total amount of tax paid by the total taxable income.

Average Tax Rate = Total Tax Paid / Taxable Income Cindy's

The average tax rate can be found as follows:

Average tax rate = (Total tax paid ÷ Taxable income) × 100%

Average tax rate = ($8,902 ÷ $65,500) × 100%

Average tax rate = 0.135994 × 100% ≈ 13.60%

Therefore, Cindy's average tax rate is 13.60%.

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Answer:

h(-2) = 13

h(5) = -1

Step-by-step explanation:

Given the function

h(x) = -2x + 9

Evaluating at x = -22

substitute x = -2

h(-2) = -2(-2) + 9

h(-2) = 4 + 9

h(-2) = 13

Therefore,

Evaluating at x = 5

Given the function

h(x) = -2x + 9

substitute x = 5

h(5) = -2(5) + 9

h(5) = -10 + 9

h(5) = -1

Therefore,

Answer:

Option (3)

Step-by-step explanation:

Given : 3x + 12 = 8x - 18

To prove : x = 6

        Statements                  Reasons

1). 3x + 12 = 8x - 18                 1). Given

2). 12 = 5x - 18                       2). Subtraction property of equality

3). 30 = 5x                             3). Addition property of equality

4). 6 = x                                  4). Division property of equality

5). x = 6                                  5). Symmetric property

For step 1 in the given proof Option (3) will be the answer.

The percentage of change will be increased for the fractions \($\frac{3}{8}$\) and \($\frac{7}{8}$\).

As per the given data we have to determine the percent of change as an increase or a decrease.

Percentage of change means the increase or decrease in the earlier value.

If the current value is more than the previous value, the percentage increase can determine how much it has increased.

If the current value is less than the previous value, then the percentage decrease can determine how much it has decreased.

The given fractions are \($\frac{3}{8}$\) and \($\frac{7}{8}\)

First convert the given fractions to percentages.

To convert the given fractions to percentages multiply the fraction by 100.

For first fraction \(=\frac{3}{8} \times 100\)

= 0.375 × 100

= 37.5%

For second fraction \(=\frac{7}{8} \times 100\)

= 0.875 × 100

= 87.5%

As the second percentage is greater than the first percentage there will be increase in percentage.

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The given function is

f(x) = - 2|x+5| + 2

The x intercept is the value of x when f(x) = 0

Substituting f(x) = 0 into the function, we have

0 = - 2|x+5| + 2

Subtract 2 from both sides

0 - 2 = - 2|x+5| + 2 - 2

- 2 = - 2|x+5|

Divide both sides by - 2. It becomes

- 2/- 2 = - 2|x+5|/- 2

1 = |x+5|

x + 5 = 1 or x + 5 = - 1

x = 1 - 5 or x = - 1 - 5

x = - 4 or x = - 6

x intercepts are x = - 6, x = - 4

Writing the x intercepts as points, they are

(- 6, 0) and (- 4, 0)

The y intercept is the value of f(x) when x = 0

substituting x = 0 into the function, we have

f(0) = - 2|0+5| + 2

f(0) = - 2|5| + 2 = - 2(5) + 2 = - 10 + 2

f(0) = - 8

y intercept = (0, - 8)

- 4 × ( - 6 ) = 24

- 7 × ( - 8 ) = 56

56 is greater than 24 thus ( - 7 )*( - 8 ) is greater than

( - 4 )*( - 6 ) .

a. The probability of drawing a red ball from Box 1 is 30%.

b. If a red ball is drawn from Box 1, the probability of drawing another red ball from Box 2 on the second round is 60%.

c. If the first draw from Box 1 was black, the conditional probability of drawing a red ball from Box 3 on the second draw is 80%.

d. The probability of drawing two red balls at both draws, without any prior information, is 46%.

e. The probability of drawing a red ball at the first draw and a black ball at the second draw, without any prior information, is 21%.

a. The probability of drawing a red ball from Box 1 can be calculated by dividing the number of red balls in Box 1 by the total number of balls in Box 1. Therefore, the probability is 3/(3+7) = 3/10 = 0.3 or 30%.

b. Since a red ball was drawn from Box 1, we only consider the balls in Box 2. The probability of drawing a red ball from Box 2 is 6/(6+4) = 6/10 = 0.6 or 60%. Therefore, the probability of drawing another red ball when the first ball drawn from Box 1 is red is 60%.

c. If the first draw from Box 1 was black, we only consider the balls in Box 3. The probability of drawing a red ball from Box 3 is 8/(8+2) = 8/10 = 0.8 or 80%. Therefore, the conditional probability of drawing a red ball from Box 3 when the first ball drawn from Box 1 was black is 80%.

d. Before any draws, the probability of drawing two red balls at both draws can be calculated by multiplying the probabilities of drawing a red ball from Box 1 and a red ball from Box 2. Therefore, the probability is 0.3 * 0.6 = 0.18 or 18%. However, since there are two possible scenarios (drawing red balls from Box 1 and Box 2, or drawing red balls from Box 2 and Box 1), we double the probability to obtain 36%. Adding the individual probabilities of each scenario gives a total probability of 36% + 10% = 46%.

e. Before any draws, the probability of drawing a red ball at the first draw and a black ball at the second draw can be calculated by multiplying the probability of drawing a red ball from Box 1 and the probability of drawing a black ball from Box 2 or Box 3. The probability of drawing a red ball from Box 1 is 0.3, and the probability of drawing a black ball from Box 2 or Box 3 is (7/10) + (2/10) = 0.9. Therefore, the probability is 0.3 * 0.9 = 0.27 or 27%. However, since there are two possible scenarios (drawing a red ball from Box 1 and a black ball from Box 2 or drawing a red ball from Box 1 and a black ball from Box 3), we double the probability to obtain 54%. Adding the individual probabilities of each scenario gives a total probability of 54% + 10% = 64%.

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Answer:

37/200

Step-by-step explanation:

\( 37\frac{1}{2} \% \\ equal \: to \: \frac{37}{200} \)

Answer:

answer is 151.3575 dollars.

Answer:

the square root of 64 is eight

Step-by-step explanation:

8 multiplied by 8 is 64

Answer:

8

Step-by-step explanation:

64 divided by 8 is 8.

The angles and length of the right triangle are as follows:

WX = 10√141 units

m∠X  = 30°

m∠V = 60°

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

Trigonometric ratios can be used to find the side and angles of the right triangle as follows;

Therefore,

Using Pythagoras's theorem,

WX² = (20√47)² - (10√47)²

WX² = 400(47) - 100(47)

WX² = 18800 - 4700

WX = √14100

WX = 10√141

Let's find the angles

sin m∠X  = opposite / hypotenuse

sin m∠X  = 10√47 / 20√47

sin m∠X  = 1 / 2

m∠X  = sin⁻¹ 0.5

m∠X  = 30 degrees

Therefore,

m∠V = 180 - 90 - 30

m∠V = 60 degrees

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answer:

53

explanation

Answer:

62.83in

Step-by-step explanation:

C=2 π r = 2• π • 10= 62.83185in

The circumference of a circle with a radius of 10 inches is 62.8 inches

Circumference is the distance around the perimeter of a circular object. It is defined as the length of the circle that is found by multiplying the diameter of the circle by π (pi), which is approximately equal to 3.14.

The formula for the circumference of a circle is given by: C = 2πr,

Given that,

A circle having radius 10 inches.

The circumference = ?

Substituting the given value of the radius, we get:

C = 2π(10) = 20π

To find the circumference to the nearest tenth of an inch, we can substitute the value of π as 3.14 (an approximation of π accurate to two decimal places).

Therefore,

C = 20π ≈ 20(3.14) = 62.8 inches (rounded to one decimal place)

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A tangent line is a line that intersects a curve at a single point, with the same slope as the curve at that point. A secant line is a straight line that intersects a curve at two or more points.

A line that touches a curve only at one point is called a tangent line, while a line that passes through two points on a curve is called a secant line. A secant line has a slope that is the average of the slopes of the two points it passes through, whereas a tangent line has a slope that is the same as the slope of the curve at the point of tangency.

A secant line can be used to approximate the rate of change of a curve over a range of values, whereas a tangent line can be used to determine the instantaneous rate of change of a curve at a given point. The maximum and minimum values of a curve can be determined using tangent lines, as well as the inflection points where the curve becomes more concave.

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Answer:

Hey there!

There are a total of 20 children, and 2+6, or 8 are girls.

Thus the probability of choosing a girl is 8/20, or 2/5.

There are 2 left handed girls, so the probability is 2/20, or 1/10.

Hope this helps :)

Answer:

see below

Step-by-step explanation:

There are 2+6 = 8 girls

P( girl) = number of girls/ total  = 8/20 = 2/5

P( left handed girl) = number of left handed girls/ total  = 2/20 = 1/10