Answer:
1/9 1/1/3 3/1
Step-by-step explanation:
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Answer:
First question: LCL = 522, UCL = 1000.5
Second question: A sample size no smaller than 418 is needed.
Step-by-step explanation:
First question:
Lower bound:
0.36 of 1450. So
0.36*1450 = 522
Upper bound:
0.69 of 1450. So
0.69*1450 = 1000.5
LCL = 522, UCL = 1000.5
Second question:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

The project manager believes that p will turn out to be approximately 0.11.
This means that 
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The project manager wants to estimate the proportion to within 0.03
This means that the sample size needed is given by n, and n is found when M = 0.03. So






Rounding up
A sample size no smaller than 418 is needed.
For y
since both triangles are congruent,
6y-8=2y+8
4y=16
y=4
For x
5x-5y=2y+7
since y is 4, substitute y to 4
so,
5x-5(4)=2(4)+7
5x-20=15
5x=35
x=7
Answer: The percentage of the original price was his discount = 10%
Step-by-step explanation:
Given: original price = $60
Price after discount = $54
Discount = Price after discount - original price
= $ (60-54) = $6
The percentage of the original price was his discount = 

Hence, the percentage of the original price was his discount = 10%
Answer:
I'm pretty sure it's 18 degrees
Step-by-step explanation: