Answer:
We need a sample size of at least 383.
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 zscore that has a pvalue of
.
The margin of error is:

85% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 85% confidence level with an error of at most 0.03
We need a sample size of at least n.
n is found with 
Then






Rounding up
We need a sample size of at least 383.
2w + 2L = 100
2w = L - 8
L - 8 + 2L = 100
3L = 108
L = 36
2w = L - 8
2w = 36 - 8
2w = 28
w = 14
Length is 36, Width is 14
Answer:
x=7.608696
Step-by-step explanation:
Simplify both sides of the equation.
262.5=10.5x+24x
262.5=(10.5x+24x)(Combine Like Terms)
262.5=34.5x
262.5=34.5x
Step 2: Flip the equation.
34.5x=262.5
Step 3: Divide both sides by 34.5.
34.5x
34.5
=
262.5
34.5
x=7.608696
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➷ volume = length x width x height
In a cube, all sides are the same size
Substitute in the values:
volume = 6 x 6 x 6
Solve:
volume = 
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