18+18=36. 20% is 9 apples. 36+9=45. 45 apples at the stand. (not good for business)
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.
Answer:
All real numbers
Step-by-step explanation:

Start by distributing -2 inside the parentheses.

Combine like terms on the right side of the equation.

Subtract 8 from both sides of the equation.

Divide both sides by -2 to isolate y.

This is a true statement, so there are infinite solutions.
Answer:
1. measure of angle E is 90 degrees
2. Measure of angle F + measure of angle G is 90 degrees
Step-by-step explanation:
Angle E is 90 degrees because it is marked as a right angle (the square)
A triangle has 180 degrees so if E is 90 degrees then the other 2 also have to equal 90 degrees
Answer and Step-by-step explanation:
Solve for x.
Distribute the 2.
4x - 5 = 4x - 2 - 3
Combine like terms
4x - 5 = 4x - 5
Add 5, and subtract 4x.
0 = 0
There are infinitely many solutions, meaning any value plugged in for x will result in the equation being true.
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