Step-by-step explanation:
mean = sum of all data points / number of data points
(22+16+18+14+16+34+20)/7 = 140/7 = 20
median is the number, where half of the data points are smaller, and the other half are larger.
first we need to sort the data points
14, 16, 16, 18, 20, 22, 34
median = 18
mode is the data point occurring most often.
mode = 16 (occurring 2 times, while the others occur only once).
range is the difference between the largest and the smallest data point.
range = 34 - 14 = 20
Answer:
The equation of the line is: 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:

In which m is the slope and b is the y-intercept.
Two points:
We have these following two points in this exercise:
x = -6, y = -3, so (-6,-3)
x = 4, y = 3, so (4,3)
Finding the slope:
Given two points, the slope is given by the change in y divided by the change in x.
Change in y: 3 - (-3) = 3 + 3 = 6
Change in x: 4 - (-6) = 4 + 6 = 10
So

Then

Finding b:
We replace one of the points in the equation to find b. I will use (4,3).




The equation of the line is: 
Answer:
<h3>B. 16°</h3>
Step-by-step explanation:
The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;
(3x+5)° + 37° = 90°
open the parenthesis
3x+5 + 37° = 90°
3x+42 = 90
subtract 42 from both sides of the equation
3x+42-42 = 90-42
3x = 48
Divide both sides of the resulting equation by 3;
3x/3 = 48/3
<em>x = 16</em>
<em>Hence the value of x is 16°</em>
Answer:
<h2>FALSE</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>tips and formulas:</h3>
order of PEMDAS
- parentheses
- exponent
- multiplication or
- division
- addition
- subtraction
<h3>let's solve:</h3><h2><u>L.</u><u>H.S</u><u>=</u></h2>
- <u>
</u> - <u>
</u>
<h2><u>≠R.H.S</u></h2>
therefore
<h3>the equality is false</h3>
Answer:

Step-by-step explanation:
Apply the Midsegment Theorem:
![\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B2%7D%5B96%20-%204x%5D%C2%B0%20%3D%20%5B5x%20%2B%206%5D%C2%B0%20%E2%86%92%20%5B48%20-%202x%5D%C2%B0%20%3D%20%5B5x%20%2B%206%5D%C2%B0%20%E2%86%92%20-42%20%3D%20-7x%3B%206%20%3D%20x%20%5C%5C%20%5C%5C%20%5B48%20-%202%286%29%5D%C2%B0%20%3D%20%5B48%20-%2012%5D%C2%B0%20%3D%2036%C2%B0%20%5C%5C%20%5C%5C%20AND%2FOR%20%5C%5C%20%5C%5C%20%5B5%286%29%20%2B%206%5D%C2%B0%20%3D%20%5B30%20%2B%206%5D%C2%B0%20%3D%2036%C2%B0)
I am joyous to assist you at any time.