M=(y2-y1)/(x2-x1)
(x1,y1)=(-3,3) and (x2,y2)=(5,9)
m=(9-3)/(5-(-3))
m=6/8
m=3/4
Answer:
Matched pairs
Step-by-step explanation:
Here each athelete's time to complte 20 shuttle runs is to be compared with his/her time to complete the obstacle course is to be compared to determine their association
Inference for regression will be sutiable if their association is already known or if they can be realted via mathematical model.
Independent samples method can't be used as outcome of one experiment is to be matched with outcome of other experiment
Answer
Find out the ratio represented the number of yellow balls to red balls .
To proof
Let us assume that the number of yellow balls be x.
As given
There are 20 balls in a bag.
Ten of the balls are red, 4 are green, and the rest are yellow.
than the equation becomes
x + 10 + 4 = 20
x = 20 - 14
x = 6
therefore the number of yellow balls be 6 .
Now find out the ratio between the the number of yellow balls to red balls .
the number of yellow balls be 6 .
the number of red balls be 10 .
![\frac{Number\ of\ yellow\ balls}{Number\ of\ red\ balls} = \frac{6}{10}](https://tex.z-dn.net/?f=%5Cfrac%7BNumber%5C%20of%5C%20yellow%5C%20balls%7D%7BNumber%5C%20of%5C%20red%5C%20balls%7D%20%3D%20%5Cfrac%7B6%7D%7B10%7D)
solving
![\frac{Number\ of\ yellow\ balls}{Number\ of\ red\ balls} = \frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7BNumber%5C%20of%5C%20yellow%5C%20balls%7D%7BNumber%5C%20of%5C%20red%5C%20balls%7D%20%3D%20%5Cfrac%7B3%7D%7B5%7D)
Therefore the ratio of the the number of yellow balls to red balls is 3 :5 .
Option (d) is correct .
Hence proved
Answer:
f(x) = –x^2 – 12x – 36
Step-by-step explanation:
The parent function, x^2, touches the x-axis at x=0. Translating it 6 units left replaces x with x-(-6) = x+6, so the function is ...
f(x) = (x+6)^2 = x^2 +12x +36
Reflecting the graph across the x-axis doesn't change the x-intercept, so Heather could be writing ...
f(x) = -x^2 -12x -36
Answer:
1. D
2. B
3. C
Step-by-step explanation:
the order is top to bottom in ABC