Answer:
The difference in amount = $430
Step-by-step explanation:
1- Annual contract:
The annual contract means a contract for 12 months. There is a month penalty for breaking the lease.
This means that, if you left after 8 months, you will have to pay for 10 month.
Total paid = monthly payment * 10
Total paid = 535 * 10 = $5350
2- Month-to-month contract:
You will only paid for the 8 months you stayed,
Total paid = monthly payment * 8
Total paid = 615 * 8 = $4920
3- Getting the difference:
We can note that a month-month contract is a better option if you intend to stay for only 8 months
Difference = 5350 - 4920 = $430
Hope this helps :)
Answer:



The standard deviation will remain unchanged.
Step-by-step explanation:
Given

Solving (a): The range
This is calculated as:

Where:

So:


Solving (b): The variance
First, we calculate the mean




The variance is calculated as:

So, we have:
![\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2]](https://tex.z-dn.net/?f=%5Csigma%5E2%20%3D%5Cfrac%7B1%7D%7B6-1%7D%2A%5B%28136%20-%20135%29%5E2%20%2B%28129%20-%20135%29%5E2%20%2B%28141%20-%20135%29%5E2%20%2B%28139%20-%20135%29%5E2%20%2B%28138%20-%20135%29%5E2%20%2B%28127%20-%20135%29%5E2%5D)
![\sigma^2 =\frac{1}{5}*[162]](https://tex.z-dn.net/?f=%5Csigma%5E2%20%3D%5Cfrac%7B1%7D%7B5%7D%2A%5B162%5D)

Solving (c): The standard deviation
This is calculated as:


--- approximately
Solving (d): With the stated condition, the standard deviation will remain unchanged.
Answer:
110 degrees, 84 degrees
Step-by-step explanation:
Picture 1:
See attached image for the angles I am referencing.
measure of angle a= measure of the 110 degree angle because of corresponding angles
measure of angle b=measure of angle a because of vertical angles
Therefore, through transitivity, we can state that the measure of
angle b= angle a= 110 degrees
Picture 2:
angle x=84 degree angle through alternate interior angles.
7×4=28 square bases in all the centimeters
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was <span><span>\$43.25<span>$43.25</span></span>dollar sign, 43, point, 25</span><span>. He had to pay a </span><span><span>\$7<span>$7</span></span>dollar sign, 7</span><span> entrance fee and </span><span><span>\$1.25<span>$1.25</span></span>dollar sign, 1, point, 25</span>for every minute he was on the trampoline.<span><span>Write an equation to determine the number of minutes </span><span><span>(t)<span>(t)</span></span>left parenthesis, t, right parenthesis</span><span> that Raymond was on the trampoline.</span></span>