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Margarita [4]
3 years ago
10

A public relations firm found that only 27% of voters in a certain state are satisfied with their U.S. senators. How large a sam

ple of voters should be drawn so that the sample proportion of voters who are satisfied with their senators is approximately normally distributed?a) 38b) 14c) 10d) 48
Mathematics
1 answer:
OLga [1]3 years ago
8 0

Answer:

a) 38

Step-by-step explanation:

The normal distribution can be applied if:

np \geq 5 and n(1-p) \geq 5

In this question:

p = 0.27

Then

a) 38

n = 38.

Then

38*0.27 = 10.26

38*0.73 = 27.74

Satisfies. But is this the smallest sample of the options which satisfies.

b) 14

n = 14

Then

14*0.23 = 3.22

14*0.77 = 10.78

Does not satisfy

c) 10

Smaller than 14, which also does not satisfy, so 10 does not satisfy.

d) 48

Greater than 38, which already satisfies. So the answer is a)

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Lady bird [3.3K]

3 strips of 2.5 feet can be cut from the 7.5 feet long roll of ribbon.

Step-by-step explanation:

<u>DATA:</u>

Length of strips Eli need is 2.5 feet long

Length of roll of ribbon is 7.5 feet long

Number of strips that can be cut from the 7.5 feet long roll is x

<u>SOLUTION:</u>

To determine how many strips can be cut, divide total length of roll of ribbon by the length of strips needed.

Number of strips that can be cut = \frac{Total Length of roll}{Length of strips needed}

x = \frac{7.5}{2.5}  (expression)

x = 3 strips

Therefore, 3 strips of 2.5 feet can be cut from the 7.5 feet long roll of ribbon.

Key words: fraction

Learn more about fractions at

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3 years ago
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Step-by-step explanation:


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Steps to solve:

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