Answer:
D
Step-by-step explanation:
So we have the expression:

And we want to evaluate it when x=25, y=10, w=11, and z=18.
So, substitute these values for the variables:

First, subtract within the parentheses:

Square 15:

Now, multiply the terms on the right. 10 times 11 is 110:

Multiply:

Finally, add:

So, our answer is D.
And we're done!
Answer: 
Move all terms containing y to the left, all other terms to the right
<u>Add -14y to each side of the equation</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: 5y + -14y = -9y
</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: 14y + -14y = 0
</u>
<u></u>
<u></u>
<u></u>
<u>Add '20' to each side of the equation</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: -20 + 20 = 0
</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: 7 + 20 = 27
</u>
<u></u>
<u></u>
<u></u>
<u>Divide each side by -9</u>
<u></u>
<u></u>
Answer:
a. n=4148
b. n=3909
c. The sample size is smaller if a known proportion from prior study is used. The difference in sample sizes is 239
Step-by-step explanation:
a. For sample where no preliminary estimate is given, the minimum sample size is calculated using the formula:

Where:
Margin of error
is the assumed proportion
#Let p=0.5, substitute in the formula to solve for n:

Hence, the minimum sample size is 4148
b. If given a preliminary estimate p=0.38, we use the same formula but substitute p with the given value:

Hence, the minimum sample size is 3909
c. Comparing the sample sizes from a and b:

Hence, the actual sample size is smaller for a known proportion from prior a prior study.
360=LW
<span>W=5/8 L </span>
<span>360=L*5/8 L=5/8 L^2 </span>
<span>L^2=8*360/5=8*72 </span>
<span>L=sqrt(4*144)=24
The length is 24</span>