Three contractors (call them A, B, and C) bid on a project to build an addition to the UVA Rotunda. Suppose that you believe that Contractor A is 5 times more likely to win than Contractor B, who in turn is 6 times more likely to win than Contractor C. What are each of their probabilities of winning?

P(A Wins) =_________
P(B Wins) =_________
P(C Wins) =_________

Based on the frequency table given,

a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.

b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.

The frequency table displays the number of times each value, or range of values, appears in the data-set.

where 11 weights are between 20 and 30,  and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.

This  implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.

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Answer:

i feel bad for you

Step-by-step explanation:

Answer:

$941.65

Step-by-step explanation:

We have to find the sales tax of the camera.

tax rate = 9.5%

listed price = $859.95

           \(\sf Sales \ tax = tax \ rate * listed \ price\)

                         = 9.5 % * 859.95

                        = 0.095 * 859.95

                        = $81.70

To find the total cost, add the sales tax to the listed price.

Total cost = 859.95 + 81.70

                = $941.65

Answer:

  an infinitely long time

Step-by-step explanation:

You want to know the time it takes for a kitten running 20 ft/s to catch a puppy running 25 ft/s when they start 180 ft apart and the puppy runs away from the kitten.

The kitten runs slower than the puppy, so can never catch up to it.

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Answer:

15, d

Step-by-step explanation:

The absolute value of |-11| + |4| is 11+4 which is 15

The probability that either event will occur is P ( C ) = 0.89

Given data ,

Let the probability that either event will occur  be P ( C )

P ( A ) = 20/36

P ( B ) = 12/36

where P ( A or B ) = P ( C )

P ( C ) = P ( A ) + P ( B )

P ( C ) = 32/36

P ( C ) = 0.88888

Hence , the probability is P ( C ) = 0.89

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a. The  slope of the curve at the point (4,16)   is approximately 1.165, and at the point (16,4)  is approximately -0.496.

b. The   curve has a horizontal tangent line at the points(0,0) and (3,27).

c. The   curve has a vertical tangent lineat the points (0,0) and (65/2, (65/2)³).

a. To find the   slope of the curve given by the equation x³ + y³ - 65xy = 0 at the points (4,16) and (16,4),we can differentiate the equation implicitly with respect to x and solve for dy/dx.

Differentiating the equation with respect to x, we have  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the slope at a specific point, substitute the x and y coordinates into the equation and solve for dy/dx.

For the point (4,16)  -

3(4)² + 3(16)²(dy/dx) - 65(16) - 65(4)(dy/dx) = 0

48 + 768(dy/dx) - 1040 - 260(dy/dx) = 0

508(dy/dx) = 592

(dy/dx) = 592/508

(dy/dx) ≈ 1.165

For the point (16,4)  -

3(16)² + 3(4)²(dy/dx) - 65(4) - 65(16)(dy/dx) = 0

768 + 48(dy/dx) - 260 - 1040(dy/dx) = 0

(-992)(dy/dx) = 492

(dy/dx) = 492/(-992)

(dy/dx) ≈ -0.496

Thus, the slope of the   curve at the point (4,16) isapproximately 1.165, and at the point (16,4) is approximately -0.496.

b. To find the point where the curve has   a horizontal tangent line, we need to find the x-coordinate(s)where dy/dx equals zero.

This means   the slope is zero and the tangent line is horizontal.

From the derivative we obtained earlier  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

Setting dy/dx equal to zero  -

3x² - 65y = 0

Substituting y = x³/65 into the equation  -

3x² - 65(x³/65) = 0

3x² - x³ = 0

Factoring out an x²  -

x²(3 - x) = 0

This equation has two solutions  -  x = 0 and x = 3.

hence, the curve has a horizontal   tangent line at the points(0,0) and (3,27).

c. To find the point where the curve has a vertical tangent line, we need to find the x-coordinate(s)   where the derivative is undefinedor approaches infinity.

From the derivative  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the vertical tangent line, dy/dx should be undefined or infinite. This occurs when the denominator of dy/dx is zero.

Setting the denominator equal to zero:  -

65x = 65y

x = y

Substituting this condition back into the original equation  -

x³ + x³ - 65x² = 0

2x³ - 65x² = 0

x²(2x - 65) = 0

This equation has two solutions  - x = 0 and x = 65/2.

Therefore, the curve has a vertical tangent line   at the points (0,0)

and(65/2, (65/2)³).

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The correct answer is option (e): None of these answers is correct.

The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.

The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.

Step-by-step explanation:

I am sorry but please give detailed question

What is the question

There are  two trigonometry prerequisite special right angles.

Special right angles are those right-angled triangles whose interior angles are fixed and whose sides are always in a defined ratio.

One of the two special right triangles is called a 30-60-90 triangle.

The another one is a  right triangle with congruent legs and acute angles is an Isosceles Right Triangle. This triangle is also called a 45-45-90 triangle.

Hence, The two special right angles is 30-60-90 triangle and 45-45-90 triangle.

Complete question:

What are prerequisite special right angles in trigonometry?

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Answer:

C

Step-by-step explanation:

\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ \frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{2x+1}\)

The denominator cannot equal 0, so:

\(2x+1 \neq 0 \implies x \neq -\frac{1}{2}\)

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Answer:35/24

Step-by-step explanation:

7/12 ➗ 2/5

Next step we change divide sign to multiplication,with the numerator and denominator of the right hand fraction inverted

7/12 x 5/2

(7x5)/(12x2)

35/24

The quotient of 7/12 divided by 2/5 is 35/24.

To divide fractions, you need to multiply the first fraction by the reciprocal (or the multiplicative inverse) of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, to find the quotient of 7/12 divided by 2/5, you multiply 7/12 by the reciprocal of 2/5, which is 5/2.

Here are the steps:

Write down the first fraction: 7/12

Write down the reciprocal of the second fraction: 5/2

Multiply the first fraction by the reciprocal: (7/12) x (5/2)

Multiply the numerators: 7 x 5 = 35

Multiply the denominators: 12 x 2 = 24

Simplify the fraction, if possible: 35/24

Therefore, the quotient of 7/12 divided by 2/5 is 35/24.

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Answer:2

Step-by-step explanation:

car, and arc, however ar is also a word, not distinctly though.

SOLUTION:

Step 1:

In this question, we are given the following:

A one-terabyte external hard drive is on sale at a 27% discount.

If the original price was $341, what is the sale price?

Step 2:

The details of the solution are as follows:

CONCLUSION:

The new selling price = $ 248.93

Using the t-distribution, it is found that the 95% t-confidence interval for the population mean weight of newborn mice with snipped tails is (42157, 42843).

The interpretation is: The researchers are 95% confident that the true population mean weight of newborn mice with snipped tails is between the upper and lower limits of the confidence interval.

We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.

The information given is:

Sample mean of \(\overline{x} = 42500\).

Sample standard deviation of \(s = 6068\).

Sample size of \(n = 1200\).

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 1200 - 1 = 1199 df, is t = 1.96.

The interval is:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 42500 - 1.96\frac{6068}{\sqrt{1200}} = 42157\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 42500 + 1.96\frac{6068}{\sqrt{1200}} = 42843\)

The 95% t-confidence interval for the population mean weight of newborn mice with snipped tails is (42157, 42843).

The interpretation is that we are 95% sure that the population mean weight is in this interval, hence:

The researchers are 95% confident that the true population mean weight of newborn mice with snipped tails is between the upper and lower limits of the confidence interval.

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Answer: open and closed

Step-by-step explanation:

closed can be answered with a single word or short response

open a long response or multiple

Answer:

To find the circumference of a circle, you can use the formula: circumference = 2 * π * radius.

Given that the radius of the circle is 15 cm, we can substitute this value into the formula to calculate the circumference.

Circumference = 2 * 3.14 * 15 cm

Circumference = 94.2 cm

Therefore, the circumference of a circle with a radius of 15 cm is 94.2 cm.

The answer is:

Work/explanation:

The formula for the circumference is:

\(\sf{C=2\pi r}\)

where:

C = circumference

\(\pi\) = pi (3.14)

r = radius

Plug in the value of the radius:

\(\sf{C=2\times3.14\times15}\)

Simplify:

\(\sf{C=94.2\:cm}\)

Answer:

The one you clicked on in the picture is correct

Step-by-step explanation:

By elimination you can tell that it is the bottom two answers (+3 is inverse of -3). And it is the answer you selected because it cube roots whats in parentheses. So you are correct with the answer you have selected right now

\(x = 4 \cos(a) \)

\( \frac{x}{4} = \cos(a) \\ \)

\(( { \frac{x}{4} })^{2} = ({ \cos(a) })^{2} \\ \)

\( \frac{ {x}^{2} }{16} = {cos}^{2} (a) \\ \)

_____________________________________________

\(y = 5 \tan(a) \)

\( \frac{y}{5} = \tan(a) \\ \)

\(( { \frac{y}{5} })^{2} = ( { \tan(a) })^{2} \\ \)

\( \frac{ {y}^{2} }{25} = {tan}^{2} (a) \\ \)

_____________________________________________

Thus ;

\( \frac{ {x}^{2} }{16} - \frac{ {y}^{2} }{25} = \\ \)

\( {cos}^{2} (a) - {tan}^{2} (a)\)

The volume of a rectangular box= 1056 ft³

The surface area of a rectangular box= 632 square ft

Volume is a measure of three-dimensional space that is occupied. It is frequently quantified numerically using SI-derived units or different imperial or US customary units (such as the gallon, quart, cubic inch). The definition of length (cubed) is related to volume. The volume of a container is commonly believed to be its capacity; that is, the amount of fluid (gas or liquid) that the container can hold, rather than the amount of space it occupies.

Volume was measured in ancient times using similar-shaped natural containers, and later, standardized vessels. Arithmetic formulas can quickly compute the volume of some simple three-dimensional shapes.

Given,

Length of the rectangular box= 11ft

Width of the rectangular box= 8 ft

Height of the rectangular box= 12 ft

Volume= Length× Width× Height

Volume= 11×8×12

=1056 ft³

Therefore, volume= 1056ft³

Surface area of a rectangular box is,

1 and 2 surfaces, 11 × 8 ===>

Surface area = 2× (11× 8) =  176 square ft

1 and 3 surfaces 11 × 12 ===>

Surface area = 2× (11×12) = 264 square inches

3• 2 surfaces 12 × 8 ===>

Surface area = 2× ( 12 × 8) = 192 square inches

Adding all the surface areas

176 +264 +192= 632  square ft.

The surface area of a rectangular box= 632 square ft

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Answer:

6x+24

Step-by-step explanation:

I think please don’t count on this Answer ask your teacher if it’s right and have a good day :)

Answer:

the answer is 6x+24

The value of the given inequality is z>1.

What is inequality?

Equations are not always balanced on both sides using a "equal to" sign in mathematics. Sometimes it might be about a "not equal to" connection, meaning that something is superior to or inferior to another. In mathematics, an inequality is a connection between two numbers or other mathematical expressions that results in an unequal comparison. Inequalities are the name given to certain algebraic mathematical expressions. 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), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

-3 z-4<-7

Move 4 to the right side

-3 z<-3

Multiply both sides by - 1 (reverse the inequality)

(-3 z)(-1)>(-3)(-1)

Simplify

3 z>3

Divide both sides by 3

\(\frac{3 z}{3} > \frac{3}{3}\)

Simplify

z>1

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Answer:

x = 2

Step-by-step explanation:

x^3 + 1 = 9

x^3 = 8

\(\sqrt[3]{x^3}\) = \(\sqrt[3]{8}\)

x = 2

Answer: The answer should be 10^2  or C

Step-by-step explanation: 65.108 if you move the six to left 2 times you will get 6,510.8

Answer: 20

Step-by-step explanation:

Solution

- The question would like us to find the value of x in the expression below:

- The solution steps are given below:

Final Answer

The answer is

Answer:

89.64 miles.

That's the answer