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Anvisha [2.4K]
3 years ago
6

In a​ poll, 37​% of the people polled answered yes to the question​ "Are you in favor of the death penalty for a person convicte

d of​ murder?" The margin of error in the poll was 3​%, and the estimate was made with 94​% confidence. At least how many people were​ surveyed?
Mathematics
1 answer:
kati45 [8]3 years ago
8 0

Answer: 915

Step-by-step explanation:

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

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

Given : The proportion of people polled answered yes to the question​ : p=0.37

The margin of error : E=0.03

Significance level : \alpha:\ 1-0.94=0.06

Critical value : z_{\alpha/2}=1.88

Then ,

n=(0.37)(0.63)(\dfrac{(1.88)}{0.03})^2\\\\\Rightarrow\ n=915.4096\approx915

Hence, at-least 915 people were​ surveyed.

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7 times as much as the sum of 1/3 and 4/5
Jet001 [13]
First of all, you add 1/3 and 4/5, so you get:
\frac{1}{3} +  \frac{4}{5}

To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get:
\frac{1*5}{3*5} +  \frac{4*3}{5*3}
\frac{5}{15} +  \frac{12}{15}

Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:
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Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:
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In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:
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Hope this Helps! :D
7 0
3 years ago
Read 2 more answers
Find the area of the unshaded reason for these two problems​
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9514 1404 393

Answer:

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Step-by-step explanation:

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