You have to <em>FOIL</em> (multiply the first, then outer, then inner, then last)
(x-2)(x+4)
First: multiply x by x to get x².
Outer: multiply x by 4 to get 4x.
Inner: multiply -2 by x to get -2x.
Last: multiply -2 by 4 to get -8.
This gives you:
x² + 4x - 2x - 8
Combine like terms to get your final answer:
x² + 2x - 8
Hope this helped!! xx
Diameter of the spherical storage tank = 24 ft
So, radius of the tank =
ft
Volume of the spherical tank = 4/3 * PI * r³
= 
= 7234.56 cubic feet
Diameter of cylindrical tank = 4 ft
So, radius =
ft
Height of cylindrical tank = 10 ft
Volume of cylindrical tank = PI * r² * h
=
cubic feet
So, the number of cylindrical tanks that can be filled from the spherical tank are =

Hence, 57 cylindrical tanks can be completely filled from the big spherical tank.
Answer:
10.125 feet.
Step-by-step explanation:
you can use the rule of three to answer this question, the data we have is:
inches feet
1 → 4 1/2
2 1/4 → x
tha last table just indicates what the problem tells us, that one inch is equal to 4 1/2 feet and we want to know how much in feet the 2 1/4 inches are.
For this we multiply the cross quantities:

the actual length of the kitchen is 10.125 feet.
Basically, it asks you to find the piece of data that is 1/10th of the overall shoe sales on a given day. As the number of shoes sold per day is 400, the piece of data you are looking for is 40. Meaning the answer is 'High heels sold on Friday'
Answer:
Decision: Support the null hypothesis.
Sample mean: -12
Step-by-step explanation:
Hello!
When deciding with a Confidence interval you have to keep in mind that the following conditions are met:
- The hypothesis and the interval are made for the same parameter.
- The hypothesis should be two-tailed.
- The interval and the test have to have complementary confidence and signification levels. This means that if the interval is made with 1 - α= 0.95 the hypothesis test should be made with α= 0.05.
H₀: μ₁ - μ₂= 0
H₁: μ₁ - μ₂≠ 0
α: 0.05
If the interval contains the cero, it means that there is no difference between the means, so you support the null hypothesis.
If the interval doesn't contain the cero, there is a difference between the two means, so you reject the null hypothesis.
The intervals to estimate the population mean have the following structure:
Estimator ± Margin of error
This means that the sample mean (point estimate of the population mean) is in the middle of the calculated interval. To know it's the value you have to do a simple calculation:
sample mean: 
sample mean: 
sample mean: -12
I hope it helps!