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Leokris [45]
2 years ago
8

Lucy collects data from a random sample of seventh-graders. Out of 40 respondents, 7 attend after-school programs. Of the 200 se

venth-graders attending Lucy’s school, how many would be expected to attend afterschool programs?
Mathematics
1 answer:
Shalnov [3]2 years ago
8 0

Answer:

35

Step-by-step explanation:

For every 40 students, you add 7

Ratio:

Students : Students in afterschool programs

40:7

80:14

120:21

160:28

200:35

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A company considers buying a machine to manufacture a certain item. When tested, 28 out of 600 items produccd by the machine wer
weqwewe [10]

Answer:

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject H_0, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

Step-by-step explanation:

The null and alternate hypothesis are:

H0:p≥0.03

Ha:p<0.03

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

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

0.03 is tested at the null hypothesis:

This means that \mu = 0.03, \sigma = \sqrt{0.03*0.97}

28 out of 600 items produced by the machine were found defective.

This means that n = 600, X = \frac{28}{600} = 0.0467

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.0467 - 0.03}{\frac{\sqrt{0.03*0.97}}{\sqrt{600}}}

z = 2.4

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.

Looking at the z-table, z = 2.4 has a p-value of 0.9918.

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject H_0, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

7 0
2 years ago
Which is the best buy?
gogolik [260]

Answer:

A

Step-by-step explanation:

work out price of each for one bottle

A) $12.60 ÷ 7 = $1.80

B) $10.98 ÷ 6 = $1.83

C) $18.10 ÷ 10 = $1.81

D) $16.38 ÷ 9 = $2.82

we can clearly see that A is the cheapest

5 0
2 years ago
Read 2 more answers
Miss Miller teaches three times as many students during first hour as she does during third hour. Her
coldgirl [10]
What you would do is multiply 72 and 3 so it says three times so you multiply 72 three times so this would equal 638
8 0
3 years ago
Which value of www makes 14=11+\dfrac{w}{8}\cdot614=11+ 8 w ​ ⋅614, equals, 11, plus, start fraction, w, divided by, 8, end frac
Liono4ka [1.6K]

Answer:

Option B) w = 4

Step-by-step explanation:

We have to find the value of w to make the given expression true.

The given expression is:

14=11+\dfrac{w}{8}\cdot6\\\\14-11 = \dfrac{w}{8}\cdot6\\\\3 = \dfrac{w}{8}\cdot6\\\\\Rightarrow w = \dfrac{3 \cdot 8}{6} = 4

Option B) w = 4 is the correct answer.

8 0
3 years ago
Read 2 more answers
Round each amount to the nearest hundred to find the estimate of 9635 - 4891
vovikov84 [41]

Answer:

the answer is 4,744

Step-by-step explanation:

just subtract

7 0
3 years ago
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