Answer:
0.081,0.2621,0.645,0.919
Step-by-step explanation:
Let X be the average speed of a car driving down freeway
Given that X is normal with mean as 70mph with a standard deviation of 5mph.
To convert to Z score we do
![Z =\frac{x-70}{5}](https://tex.z-dn.net/?f=Z%20%3D%5Cfrac%7Bx-70%7D%7B5%7D)
a) the probability that a randomly selected car is driving more than 77mph
![=P(X>77)\\=P(Z>1.4)\\=0.081](https://tex.z-dn.net/?f=%3DP%28X%3E77%29%5C%5C%3DP%28Z%3E1.4%29%5C%5C%3D0.081)
b) probability that a randomly selected car is driving between 65 and 69 mph
= ![P(-1](https://tex.z-dn.net/?f=P%28-1%3Cz%3C-0.2%29%5C%5C%3D0.2621)
c) the probability that a randonly selected car is driving between 67 and 77mph
=![P(-0.6](https://tex.z-dn.net/?f=P%28-0.6%3Cz%3C1.4%29%5C%5C%5C%5C%3D0.645)
d) the probability that a randomly selected car is driving less than 77mph
![=P(Z](https://tex.z-dn.net/?f=%3DP%28Z%3C1.4%29%20%3D%200.919)
First, we will find the value of k
We can do this by sybstituting y=24, x=6 in;
y=kx and then solve for k
24= k(6)
divide both-side of the equation by 6
24/6 = k
4 = k
k=4
Then when x = 5, we will substitute x=5 and k=4 in; y=kx and then solve for y
y= (4)(5)
y = 20
1: positive
2: negative
3: positive
4: negative
:)))
11 x 3 3/4 = 41 1/4 (41.25)
10 1/2 x 0.55 = 5.775
41.25 + 5.775 = 47.025
100 - 47.025 = $52.975 her change
Hope it helps!