Fifty students were surveyed and asked if they played sports and if they had a job. The table summarizes their responses.

Of the students who play sports, what percent do not have a job?

Answer:

FG = 2.02

Step-by-step explanation:

tan 56° = 3/FG

1.4826 = 3/FG

1.4826FG = 3

divide both sides by 1.4826:

FG = 3/1.4826

FG = 2.02

Answer:

the weight of a bag of candy varies 3.2 ounces from the mean of 4 ounces.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

[tex]Period = 2\pi[/tex]

Step-by-step explanation:

Given

[tex]y = -\frac{1}{3} * \sin(x - \frac{1}{3})[/tex]

Required

Determine the period

A sine function is represented as:

[tex]y =A \sin(Bx + C) + D[/tex]

Where

[tex]Period = \frac{2\pi}{B}[/tex]

By comparing:

[tex]y =A \sin(Bx + C) + D[/tex] and [tex]y = -\frac{1}{3} * \sin(x - \frac{1}{3})[/tex]

[tex]Bx = x[/tex]

So:

[tex]B = 1[/tex]

So, we have:

[tex]Period = \frac{2\pi}{B}[/tex]

[tex]Period = \frac{2\pi}{1}[/tex]

[tex]Period = 2\pi[/tex]

Hence, the period of the function is [tex]2\pi[/tex]

Answer:

The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.

Step-by-step explanation:

A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola is 35 milligrams. You want to test this claim.

At the null hypothesis, you test that the mean caffeine content is of 35 milligrams, that is:

[tex]H_o: \mu = 35[/tex]

And at the alternate hypothesis, you test if the content is different from 35, so:

[tex]H_a: \mu \neq 35[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

35 is tested at the null hypothesis:

This means that [tex]\mu = 35[/tex]

During your​ tests, you find that a random sample of thirty​ 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams.

This means that [tex]n = 30, X = 36.8, \sigma = 7.3[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{36.8 - 35}{\frac{7.3}{\sqrt{30}}}[/tex]

[tex]z = 1.35[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability of the mean caffeine content differing from the mean by at least 36.8 - 35 = 1.8, which is P(|z| > 1.35), which is 2 multiplied by the pvalue of z = -1.35.

Looking at the z = -1.35 has a pvalue of 0.0885

2*0.0885 = 0.177

The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.

Answer:

A. 4.71cm²

Step-by-step explanation:

Area of a sector = π(radius²)(angle/360)

=π(3²)(60/360)

=(9)(1/6)π=4.71238898038

Answer:

72 85 23

Step-by-step explanation:

Equation

(x - 13) + (x/5 + 6) + x = 180                Multiply the equation by 5

Solution

5(x - 13) + 5(x/5 + 6) + 5x = 180*5     Remove the brackets

5x - 65 + x + 30 + 5x = 900              Combine like terms on the left

11x - 35 = 900                                    Add 35 to both sides

      35       35

11x = 935

x = 85

Answer

x - 13 = 85 - 13 =         72

x                      =          85

x/5 + 6 = 17 + 6 =        23

Total =                        180

It might be easier not to multiply through by 5 at the beginning

(x - 13) + (x/5 + 6) + x = 180              Remove the brackets

x - 13 + x/5 + 6 + x = 180                 Combine like terms

2x + x/5 -- 7 = 180

x/5    =   .2x                                     Put 0.2x in for x/5

2.2x - 7= 180                                   Add 7 to both sides

          7      7

2.2x = 187                                       Divide by 2.2

x = 187/2.2

x = 85

Take your pick. Both methods will give the same answer.

Answer:

multiple regression

Step-by-step explanation:

In the field of statistics, the multiple regression is the statistical technique which uses the various explanatory variables for predicting the outcome of the response variable. It is the extension of the simple linear regression. It explains the relation between the multiple predictor variables or independent variables and one dependent variable or criterion variable.

In the context, the manager of a tourist company predicting the number of calls to the toll free number is using the statistical technique of multiple regression.

Answer:  The answer is c

Answer:

Ancient cultural artifacts and historical buildings were destroyed.

Answer:

(x−1)(x+2)

Step-by-step explanation:

The middle number is 1 (1x) and the last number is -2.

Factoring means we want something like

(x+_)(x+_)  

We need two numbers that...

Add together to get 1

Multiply together to get -2  

Try -1 and 2:

-1+2 = 1

-1*2 = -2

Fill in the blanks in

(x+_)(x+_)

with -1 and 2 to get...

(x-1)(x+2)

Hope this helps!

Answer:

Just report the other guy or take down his answer because he was not even trying to help but the answer is Decreases

Step-by-step explanation:

Answer:

[tex]a + b = 8 \\ 3a - 4b = 3 \\ 4a + 4b = 32 \\ 3a - 4b = 3 \\7a = 35 \\ (a = 5 )\: and \: (b = 3)[/tex]

15 is 60% of the number 25

To find the number of which 15 is 60%, we can set up the following equation:

0.60 * x = 15

Here, x represents the unknown number.

To solve for x, we divide both sides of the equation by 0.60:

x = 15 / 0.60

Evaluating the division:

x = 25

Therefore, 15 is 60% of 25.

Learn more about percentages here:

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Answer:

4.9:13.1

Step-by-step explanation:

V=4/3*pi*r^3

Answer: The amount of outcomes is 26 because you have 26 cards which are all possible to draw so they are the outcomes.

Step-by-step explanation:

Basic arithmetic really.  8+6+5+7 = 26. The color was just added to confuse u.

Answer:

3) 156°

4) 24°

5) 24°

6) 24°

Step-by-step explanation:

m∡2: 180 - 156 = 24°  

m∡3:  156° (is vertical to angle labeled as 156°)

m∡4:  24°  (is vertical to angle 2)

m∡5:  156°

m∡6:  24° (alternate-interior to angle 4)

m∡7:  156° (corresponding angle with ∡3)

m∡8:  24° (vertical with angle 6)

Answer:

Step-by-step explanation:

m∠2 = m∠4 = m∠8 = 180° - 156° = 24°

m∠8 = 156°

Answer:

x= 130°

Step-by-step explanation:

Answer:

661.7 million

Step-by-step explanation:

Given the exponential model :

A = 661.7 e^0.011t

The general form of an Exponential model is expresses as :

A = A0 * e^rt

Where A = final value ; A0 = Initial value ; r = growth rate and t = time elapsed

From the question t = time after 2003

Therefore, A0 = initial population, which is the population in 2003

Therefore, A0 = 661.7

Or we could put t = 0 in the equation and solve for A

A = 661.7 e^0.011(0)

A = 661.7 * 1

A = 661.7

Hence, population in 2003 is 661.7 million

Answer:

The probability that both number cubes have the number 4 facing up is 1/36.

Step-by-step explanation:

For a cube, we have the number:

1,2,3,4,5 and 6

The number 4 only occurs once in the six.

So, the probability of having the number 4 in a single roll is 1/6.

Now, for two rolls, we have two probabilities which we will have to multiply.

Thus, we have the probability as:

[tex] \frac{1}{6} \times \frac{1}{6} = \frac{1}{36} [/tex]

p=−d+m/h

Step by step:

m−hp=d

−hp+m+−m=d+−m

−hp=d−m

-hp/-h=d-m/-h

p=-d+m/h

The expression solved for p is [tex]p = \frac{m - d}{h}[/tex].

It is the unknown value in a set of range. Variable always represent a number.

Given that,

m − hp = d

There are 4 variables. If we want to solve the above equation for p, take p at one side of the equation and other variables to the other side:

[tex]ph ={m - d}[/tex]

[tex]p = \frac{m - d}{h}[/tex]

Hence the final equation for p is [tex]p = \frac{m - d}{h}\\[/tex].

To know more about equations, refer to the link:

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Answer:

(2,1)

Step-by-step explanation:

f(x) = - x^2 + 4x - 3

Factor out the negative

f(x) = - (x^2 - 4x + 3)

Factor

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

The zeros are at

0 = -(x-3) (x-1)

 x-3 =0   x-1 =0

x=3   x=1

We know the vertex is 1/2 way between the zeros

(3+1)/2 = 4/2 =2

The x coordinate of the vertex is 2

Substitute x=2 into the equation

f(2) = -(2^2-4(2) +3)

     = -(4-8+3)

    = -(-1)

    = 1

The vertex is (2,1)

Answer:

Perimeter of the summer camp = 38 units

Step-by-step explanation:

Distance between P(5, 14) and Q(8, 14) = 8 - 5

                                                                = 3 units

Distance between Q(8, 14) and R(8, 2) = 14 - 2

                                                               = 12 units

Distance between R(8, 2) and S(1, 2) = 8 - 1

                                                            = 7 units

Distance between S(1, 2) and T(1, 8) = 8 - 2

                                                            = 6 units

Distance between T(1, 8) and U(5, 8) = 5- 1

                                                             = 4 units

Distance between U(5, 8) and P(5, 14) = 14 - 8

                                                               = 6 units

Therefore, perimeter of the summer camp = 3 + 12 + 7 + 6 + 4 + 6

                                                                         = 38 units

Answer:

72°

Step-by-step explanation:

4+2+6+8=20

360÷20=18

AC=4x18=72

Answer:

mk?

Step-by-step explanation:

Answer:

THE ANSWER IS D

Step-by-step explanation:

D is correct. Subtract 3 from both sides, then divide by -2, and remember to reverse the inequality.