What is the ratio of 9 gallons to 21 quarts?(convert the measurements)

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determ

Hunter-Best [27]

Answer:

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

This means that $n = 100, \pi = \frac{20}{100} = 0.2$

68% confidence level

So $\alpha = 0.32$ , z is the value of Z that has a pvalue of $1 - \frac{0.32}{2} = 0.84$ , so $Z = 0.995$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24$

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

4 0

3 years ago

Help me? Giving brainliest

son4ous [18]

Answer:

31

Step-by-step explanation:

(2)^2 + (3)^3 = 4+27 = 31

8 0

3 years ago

Read 2 more answers

Solve for m step by step PLEASE HELP!!!<br> 6m-38=m^2-10+25

Vinil7 [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

Camille had $18.90 to spend on groceries. After buying 10 grapefruits, she had $3.90 left. If each grapefruit costs the same amo

Daniel [21]

Answer:

Step-by-step explanation:

10g=18.9-3.9

10g=15

g=15/10

g=1.5

So each grapefruit costs $1.50

(L+d)9=126 and the original length was 11ft so

(11+d)9=126

99+9d=126

9d=27

d=3

So he needs to extend the length by 3ft

7 0

3 years ago

The area of a square floor on a scale drawing is 64 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the

Oxana [17]

Answer:

Part a) The area of the actual floor is $576\ ft^{2}$

Part b) The ratio of the area in the drawing to the actual area is $\frac{1}{9}\frac{cm^{2}}{ft^{2}}$

Step-by-step explanation:

we know that

The scale drawing is $\frac{1}{3}\frac{cm}{ft}$

step 1

Find the dimensions of the square on a scale drawing

The area of a square is equal to

$A=b^{2}$

where

b is the length side of the square

$A=64\ cm^{2}$

so

$64=b^{2}$

$b=8\ cm$

step 2

Find the dimensions of the actual floor

Divide the length of the floor on the drawing by the scale drawing

$8/(1/3)=24\ ft$

step 3

Find the area of the actual floor

The area of a square is equal to

$A=b^{2}$

substitute

$A=24^{2}=576\ ft^{2}$

step 4

Find the ratio of the area in the drawing to the actual area

$\frac{64}{576}\frac{cm^{2}}{ft^{2}}$

Simplify

Divide by 64 both numerator and denominator

$\frac{1}{9}\frac{cm^{2}}{ft^{2}}$

3 0

3 years ago