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3 years ago

Answer choices 22 and 32 please help

Mathematics

1 answer:

ad-work [718]3 years ago

8 0

The answer is 22, it would have to be much larger for it to be 32

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A manufacturing company wants to use a sample to estimate the proportion of defective tennis balls that are produced by a machin

Kitty [74]

Answer:

The least number of tennis balls needed for the sample is 1849.

Step-by-step explanation:

The (1 - α) % confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The margin of error for this interval is:

$MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

Assume that the proportion of all defective tennis balls is p = 0.50.

The information provided is:

MOE = 0.03

Confidence level = 99%

α = 1%

Compute the critical value of z for α = 1% as follows:

$z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.58$

*Use a z-table.

Compute the sample size required as follows:

$MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

$n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)} }{MOE}]^{2}$

$=[\frac{2.58\times \sqrt{0.50(1-0.50)} }{0.03}]^{2}\\\\=1849$

Thus, the least number of tennis balls needed for the sample is 1849.

8 0

3 years ago

2 angles are complementary. One of the angles is 30 degrees. The other has a label of 5n + 20. What would "n" have to be?

Liula [17]

Answer:

Step-by-step explanation:

complementary angle of 30°=60°

5n+20=60

5n=60-20

5n=40

n=40/5=8

4 0

3 years ago

What value of g makes the equation true?

Alona [7]

$( x + 7)((x - 4) = x2 + 3x - 28$

$= xx_{4} - 3x = 7 x_{4} + x_{2} - 28$

$x = \frac{ - 7x_{4} + x_{2} - 28 }{ x_{4} - 3 }$

$= - 7 \frac{ x_{2} - 49}{ x_{4} - 3 }$

7 0

2 years ago

CAN SOMEONE HELP ME OUT WITH THIS PLEASE AND THINK YOU

Alexus [3.1K]

The answer is 10 7/10

7 0

3 years ago

Read 2 more answers

Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete wh

frozen [14]

Answer:

y = 2x + 20

$y\geq 20$

$x\geq 0$

Step-by-step explanation:

Vlad spent 20 minutes on history. Then Vlad spent 2 minutes on each math problem for homework, this is 2x. So in total, he spent 20+2x on homework. Depending on how many problems he did, the total time y can be found. This is the equation 20+2x=y.

If Vlad did 0 math problems then he spent at least 20 minutes on homework from history. This is the constraint $y\geq 20$ .

We also know Vlad can do many math problems but the least amount he did was 0, so the second constraint is $x\geq 0$ .

5 0

3 years ago