Answer:
b.) it would have been cut in half
Step-by-step explanation:
When a sample is quadrupled, the width of the interval is cut in half. edg2020!
Answer: 709
Step-by-step explanation:
The formulas we use to find the required sample size :-
1. 
, where
= population standard deviation,
E = Margin of error .
z* = Critical value
2.
, where p= prior estimate of population proportion.
3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes
Given : Margin of error : E= 3% =0.03
Critical value for 95% confidence interval = z*= 1.96
A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.
i.e. p=0.21
Then by formula 2., the required sample size will be :


[Round to the next integer.]
Hence, the required sample size of junior executives should be studied = 709
So to find the answer to this, you have to consider that

- half because half the pocket money (x) was spend on clothes, then plus 9 because that's how much extra she gained and 13 because that was the result of all the changes.
To solve this, first subtract 9 from both side, which leaves you with

and

is the same as

, so to solve this, multiply both sides of the equation by two, resulting in

. SO from this we can conclude that the weekly allowance is $8
To write the number is standard form we need to move the decimal point six times to the right, then:

therefore the answer is b.