Answer:
0.00064
0.049
0.185
0.234
Step-by-step explanation:
Using binomial distribution formula :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
p = 0.65
1 - p = 1 - 0.65 = 0.35
n = 7
(A) None will be divorced?
P(x = 0) : 7C0 * 0.65^0 * 0.35^7
= 1 * 1 * 0.00064339296875
= 0.00064
(B) All will be divorced?
P(x = 7) : 7C7 * 0.65^7 * 0.35^0
1 * 0.04902227890625 * 1
= 0.049
(C) Exactly 6 will be divorced?
P(x = 6) : 7C6 * 0.65^6 * 0.35^1
7 * 0.075418890625 * 0.35
= 0.18477628203125
= 0.185
(D) At least 6 will be divorced?
P(x ≥ 6) = p(6) + p(7)
P(6) = 0.185
P(7) = 0.049
P(x ≥ 6) = 0.185 + 0.049 = 0.234
So the equation would be 4\100 of 1800 every year = (4/100x1800)x8 years = 72x8 years = $576. Best of luck!
Answer:
The average rate of change of h(x) in the given interval is 7.
Step-by-step explanation:
When we want to find the average rate of change of a function f(x), in an interval a < x < b, we just need to calculate:
Here we have:
h(x) = 2*x^2 - 7*x
And we want to find the average rate of change between x = 2 and x = 5
This will be:
The average rate of change of h(x) in the given interval is 7.
Answer:
Y' (5, -3), Z' (3, -2)
Step-by-step explanation:
The translation is right 4 and down 1. Since you are going from (3, -4) to (7, -5), to get from 3 to 7 on the x axis you move right 4. To get from -4 to -5 on the y axis, you go down 1.
Y (1, -2) add 4 to the x value. 1 + 4 = 5. Add -1 to the y value. -2 + -1 = -3. Y' (5, -3)
Z (-1, -1). Add 4 to the x value. 4 + (-1) = 3. Add -1 to the y value. -1 + (-1) = -2.
Answer:
mx/n
Step-by-step explanation:
