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Answer:
The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).
Step-by-step explanation:
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 z-score that has a p-value of
.
427 had paid for coaching courses and the remaining 2733 had not.
This means that 
95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).
Answer: 2(12 × 8)
Step-by-step explanation:
The area of the rug will be gotten by multiplying the length by its width. This will be:
= 12 foot × 8 foot
= 96feet²
Since the area of the room is twice the area of the rug, the equation you will use to solve for x will be:
= 2(12 × 8)
= 2(96)
= 192feet²
Answer:
x = 4
Step-by-step explanation:
6x - 8 = 4x
-6x -6x
-8 = -2x
-----------
-2
x = 4
Answer:
225.5 sq. mm
Step-by-step explanation:
triangle:5x(9+4+4+4)=15x21÷2=157.5
5x(4+4)=5x8=40
7x4=28
157.5+40+28=157.5+68=225.5