Answer:
x=5
Step-by-step explanation:
x=5
<h3>answer:</h3>

<h3>Step by step explanation:</h3>
<h3> Step 1: Distribute</h3>

<h3>Step 2: Eliminate redundant parenthesis</h3>

<h3>Step 3: Add numbers</h3>

<h3>Step 4:Combine like terms </h3>

<h3>Step 5:Multiply by 1</h3>

Hopefully it's help
if the cylinder has a diameter of 4, then its radius is half that, or 2.
![\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=2\\ h=5 \end{cases}\implies SA=2\pi (2)(5+2)\implies SA=4\pi (7) \\\\\\ SA=28\pi \implies SA\approx 87.964594\implies \stackrel{\textit{rounded up}}{SA=88.0}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bsurface%20area%20of%20a%20cylinder%7D%5C%5C%5C%5C%20SA%3D2%5Cpi%20r%28h%2Br%29~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D2%5C%5C%20h%3D5%20%5Cend%7Bcases%7D%5Cimplies%20SA%3D2%5Cpi%20%282%29%285%2B2%29%5Cimplies%20SA%3D4%5Cpi%20%287%29%20%5C%5C%5C%5C%5C%5C%20SA%3D28%5Cpi%20%5Cimplies%20SA%5Capprox%2087.964594%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Brounded%20up%7D%7D%7BSA%3D88.0%7D)
Let's break down the problem step by step.
The sum of 4 times a larger integer can be summarized as:
4x
9 times a smaller integer can be summarized as:
9y
We know that we're adding the two expressions because the beginning of the problem has sum. We also know the sum is 3.
So, we get:
4x + 9y = 3
Continuing with the problem, we have the difference between 8 times the larger
8x
We also have 3 times the smaller
3y
This part of the problem mentions the difference between these expressions so we subtract and we know the difference is 27.
8x - 3y = 27
Now, we have both equations so we can solve for either x or y.
4x + 9y = 3
8x - 3y = 27
It's easier to multiply the 4x equation by 2 to have both equations resulting in 8x
(4x + 9y = 3) * 2
We get:
8x +18y = 6
So, we now have:
8x + 18y = 6
8x - 3y = 27
We can subtract the x to get y by itself. We get:
21y = -21
Solve for y and we get:
y = -1
Since we know what y is, we can plug that in and solve for x. It doesn't matter which equation you plug y back in. I'm gonna use the second equation.
8x - 3y = 27
8x - 3 (-1) = 27
8x + 3 = 27
8x = 24
x = 3
So, we now know that
y = -1
x = 3
Hope this helped! If you have any questions then please leave a comment!
Answer:
99.7% data lies between 13 to 43
Step-by-step explanation:
Mean:
Standard deviation : 
68% of data lies between
to
95% of the data lies between
to
99.7% data lies between
to
We are supposed to find 99.7 of the data will lie between which values
99.7% data lies between
to
99.7% data lies between 13 to 43
Hence 99.7% data lies between 13 to 43