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nlexa [21]
2 years ago
6

The width of a piece of paper was 1/2. The area of the paper was 9/16. What was the length of the paper?

Mathematics
1 answer:
lutik1710 [3]2 years ago
7 0

Answer:

Length = 1.5

Step-by-step explanation:

L = A divided by W

L = .75 divided by .5 = 1.5

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Read 2 more answers
Suppose the U.S. president wants an estimate of the proportion of the population who support his current policy toward revisions
kenny6666 [7]

Answer:  a. 170        b.  752

Step-by-step explanation:

The formula to find the sample size is given by :-

n= p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

, where p is the prior estimate of population proportion.

z_{\alpha/2} = Two-tailed z-value for \alpha (significance level).

E= Margin of error .

Given : Margin of error =  0.03

Confidence level = 90%=0.90

\alpha=1-0.90=0.10

By z-value table : z_{\alpha/2}=z_{0.05}=1.645

a) The president's political advisors estimated the proportion supporting the current policy to be : p= 0.06.

Required sample size  :

n= 0.06(1-0.06)(\dfrac{1.645}{0.03})^2

n=0.0564(3006.6944)

n=169.57756416\approx170

∴ Required sample size = 170

b) If no prior estimate of population proportion is given , then we assume

p= 0.5

Required sample size  :

n= 0.5(1-0.5)(\dfrac{1.645}{0.03})^2

n=0.25(3006.6944)

n=751.6736\approx752

∴ Required sample size = 752

3 0
3 years ago
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