- Midpoint formula is
.
<h3>19.</h3>
So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such:
From here we can solve for the x-coordinate of Q.
Firstly, multiply both sides by 2: 
Next, subtract both sides by 2 and your x-coordinate is 
With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.

<u>Putting it together, the missing endpoint is (8,4).</u>
<em>(The process is pretty much the same with the other problems, so I'll go through them real quickly.)</em>
<h3>20.</h3>


<u>The missing endpoint is (7,2).</u>
<h3>21.</h3>


<u>The missing endpoint is (-5,1).</u>
Answer:
Carmen had the largest red to green apple ratio of 5 : 3
Step-by-step explanation:
Red apples : Green apples
Carmen = 20 red apples : 12 green apples
= 20 / 12
= 5 / 3 = 1.67
= 5 : 3
Dylan = 12 red apples : 10 green apples
= 12 / 10
= 6 / 5 = 1.2
= 6 : 5
Eli = 16 red apples : 20 green apples
= 16 / 20
= 4 / 5 = 0.8
= 4 : 5
Carmen had the largest red to green apple ratio of 5 : 3
Assuming a normal distribution we find the standardized z scores for a:-
z1 = (80 - 180) / 25 = = -100/25 = -4
z2 = (280-180) / 25 = 4
Required P( -4 < z < 4) from the tables is >99.9%
b
z1 = 130-180 / 25 = -2
z2 = 230-180 / 25 = 2
from tables probability is 2* 0.4773 = 95.46 %
First you need to multiple 7X0.02 and then add that number to 7