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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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It is given that one number is 6 more than another. If three times the sum of the two numbers is equal to 22 more than the large
Irina-Kira [14]

Answer:

First number=22

Second number=28

Step-by-step explanation:

Since you don't know either of the numbers we can call the first number x. The second number is the first number plus 6 or x+6. The sum is 22 more than the larger number so x+6+22 or x+28. Using this we can create the equation x+x+6=x+28. In order to isolate x we would subract x from both sides ending up with x+6=28. Then subract 6 from both sides to get x=22. This means the first number equals 22. Then to solve for the second number you plug 22 in for x to get the equation 22+6= the second number, so the second number is equal to 28. Look below for just the equation.

x+x+6=x+6+22

2x+6=x+28

-x -x

x+6=28

-6. -6

x=22

22+6

=28

22+28= 28+22

50=50

6 0
3 years ago
Philip can run a mile in 6 minutes. What is his speed in miles per hour?<br><br> I need help
3241004551 [841]

Answer:

10 MPH

Step-by-step explanation:

Well since there is 60 minutes in an hour, you can easily take 6 and multiply it by 10 since that will equal 60. 1 mile takes 6 minutes and because we multiplied the amount by 10, we can multiply the amount of miles by 10 as well. If Philip runs at a constant rate for 60 minutes straight, he will be going at 10 MPH. Hope this helps!

8 0
3 years ago
Read 2 more answers
PLEASE HELP ME I BEG OF YOU I can't do it :(
frozen [14]

Answer:

B C D F

Step-by-step explanation:

well first 4(3+x) simplified would be 12+4x and that is C so thats why C is an answer than it would b

7 0
3 years ago
A group of preschoolers has 7 boys and 27 girls. What is the ratio of girls to all children?
Rudik [331]
It is c because the girls are first and that’s 27 then you do it to the total amount of kids
5 0
3 years ago
The average number of points a basketball team scored for three games was 63 points. In the first two games they scored the same
Diano4ka-milaya [45]

Answer:

First Game: 65 points

Second Game : 65 points

Third Game : 59 points

Step-by-step explanation:

Average = sum of values/number of values

The number of values = 3, an d average = 63

63 = x/3

63 * 3 = x

189 = x

Now 189 is the sum of points over two games.

Their first two games are worth the same, so lets call that s +s = 2s

Their 3rd game is worth 6 less points than s, so s-6

let's add up all the terms:

2s + (s - 6) = 3s - 6

Solve:

3s - 6 = 189

3s = 195

s = 65

The first two games are worth 65, and the third game is worth 65 - 6 = 59.

-Chetan K

6 0
2 years ago
Read 2 more answers
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