Answer:
Solve parenthesis first using PEMDAS.
29 + 18 = 47
17 - 8 = 11
47 + 11 + 8 = 66
Answer:
y = 1/3x - 4
Step-by-step explanation:
slope m = 1/3
then y = mx + b
Using (6,-2) then
-2 = 1/3(6) + b
-2 = 2 + b
b = -4
then y = 1/3x - 4
Hope this helps
F(x) = -2x^2 - 3x + 5 for x = - 3
f(-3) = -2(-3)^2 -3(-3) + 5
f(-3) = -18 + 9 + 5
f(-3) = -4
Answer:
Events E and F are independent.
Step-by-step explanation:
E = {multiple of 3} = {3, 6, 9, 12}
P(E) = 4/12
F = {even number} = {2, 4, 6, 8. 10, 12}
P(F) = 6/12
E and F = {even and multiple of 3} = {6, 12}
P(E∩F) = 2/12
In order for two events to be independent the following relationship must be true:
![P(E)*P(F) = P(E\cap F)](https://tex.z-dn.net/?f=P%28E%29%2AP%28F%29%20%3D%20P%28E%5Ccap%20F%29)
Testing this property:
![P(E)*P(F) = \frac{4}{12}*\frac{6}{12}=\frac{24}{144}=\frac{1}{6} \\P(E\cap F) = \frac{2}{12}=\frac{1}{6} \\P(E)*P(F) = P(E\cap F)](https://tex.z-dn.net/?f=P%28E%29%2AP%28F%29%20%3D%20%5Cfrac%7B4%7D%7B12%7D%2A%5Cfrac%7B6%7D%7B12%7D%3D%5Cfrac%7B24%7D%7B144%7D%3D%5Cfrac%7B1%7D%7B6%7D%20%20%20%20%5C%5CP%28E%5Ccap%20F%29%20%3D%20%5Cfrac%7B2%7D%7B12%7D%3D%5Cfrac%7B1%7D%7B6%7D%20%5C%5CP%28E%29%2AP%28F%29%20%3D%20P%28E%5Ccap%20F%29)
The relationship holds true, thus events E and F are independent.
I believe that yo<u>u would go to where -5 is located and move back 5, 3 times </u>