Hello!
<h3><u><em>Answer</em></u></h3>
The mean of the numbers shown in the table is C. 50.5
<h3>__________________________________________________</h3><h3><em><u>Explanation</u></em></h3>
To calculate the mean, simply add up all the numbers and divide by the amount of numbers there are in the list.
18 + 55 + 101 + 96 + 55 + 18 + 22 + 23 + 22 + 57 + 88 = 555
There are 11 numbers in the table, so we divide by that.
555 / 11 = 50.45...
Finally, round to the nearest tenth: 50.5
<h3 />
The linear equation is y = 4 + 0.5x
<h3>How to determine the equation?</h3>
The points are given as: (-2,3) and (4,6)
The equation is then calculated using:
![y = \frac{y_2 -y_1}{x_2 -x_1} *(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-x_1%7D%20%2A%28x%20-%20x_1%29%20%2B%20y_1)
Substitute the known values
![y = \frac{6-3}{4+2} *(x+2) + 3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B6-3%7D%7B4%2B2%7D%20%2A%28x%2B2%29%20%2B%203)
Evaluate
y = 0.5 *(x+2) + 3
Expand
y = 0.5x + 1 + 3
Evaluate the sum
y = 0.5x + 4
Rewrite as:
y = 4 + 0.5x
Hence, the equation is y = 4 + 0.5x
Read more about linear equations at:
brainly.com/question/14323743
#SPJ1
The rate of change of stamp collection was $57.5 per year.
Rate is comparison of two related quantities.
Often the second quantity is time (per second, per hour, etc) but it can be anything.
Can be in the style "this per that" or as a single number calculated using division.
Example: Sam makes 3 pancakes every 6 minutes, that is a rate of:
• 3 pancakes per 6 minutes
• 0.5 pancakes per minute
• 30 pancakes per hour
• an hourly rate of 30
By formula the rate of change = Change in cost/ Time taken
=( $980 - $420)/ 8years
= $460/ 8 years
= $57.5 per year
Thus the rate of change of stamp collection was $57.5 per year.
Learn more about rate here :
brainly.com/question/12786410
#SPJ4
The answer is [ ∠A ≅ ∠A; A F/AB = AG/AC = 3 ]
Both triangles are the same just different sizes.
The length of A F is 9 units. The length of AB is 3 units.
To find the scale factor, just divide.
9 / 3 = 3
The length of AG is 6 units. The length of AC is 2 units.
To find the scale factor, just divide.
6 / 2 = 3
The only logical answer is B because the ratio's are written to where when you solve them, you get the scale factor 3.
Best of Luck!