The number is increasing by 2 every time.
78 x 2 = 156
-4 + 156 = 152
The 78th term is 152
6x + 3 = -4y + 11
- 3 - 3
6x = -4y + 8
6x + 4y = -4y + 4y + 8
6x + 4y = 8
6x - 6x + 4y = -6x + 8
4y = -6x + 8
4 4
y = -1¹/₂x + 2
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:
Combine like terms. The like terms in this equation are the h’s and the real numbers. Add or subtract both of the same terms and that is the simplified answer.
10h-5h+6+3
5h+9
:)
Volume=length*width*height
Volume=9 1/4*4*2 1/3