The volume V of a prism can be found by:
The volume of a rectangular prism can be found through:

Where l is the length, w is the width, and h is the height.
The height can be found by rearranging the equation to:

Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68=
8.5 inches is the height of the prism.
A= (a+b/2) × h
Is the formula for a trapezoid
7z + 10 - z = 8z - 2(z - 5)
7z + 10 - z = 8z - 2z + 10
6z + 10 = 6z + 10
6z - 6z = 10 - 10
0 = 0
Therefore, 7z + 10 - z = 8z - 2(z - 5)
Answer:
21
Step-by-step explanation:
Using<em> Simple Random Sampling</em>, we can estimate the sample size by the formula
where
n = sample size
Z = the z-score corresponding to the confidence level 99.5%
S = the assumed standard deviation = 3 seconds
e = margin of error = 2 seconds
<em>It is worth noticing that the higher the confidence level, the larger the sample should be.
</em>
The z-score corresponding to a confidence level of 99.5% can be obtained either with a table or the computer and equals
Z = 3.023
Replacing the values in our formula
So the size of the sample should be at least 21.
Answer:
(-3x²- 9x+5) - (-2x²-4x +7)
= (-3x²- 9x²+5) (2x²+4x +7)
=-3x²-9x+5+2x²+4x-7
=-3x²+2x²-9x+4x+5-7
=-x²-5x-2