Answer:
A) P(A⋂B) = 0.35
B) P(A⋃B)= 0.53
C) P(A⋂B′) = 0.08
D) P(A|B) = 0.778
Step-by-step explanation:
We know the following from the question:
- Let Proportion of Americans who expect to save more money next year than they saved last year be
P(A) and its = 0.43
-Let proportion who plan to reduce debt next year be P(B) and it's =0.81
A) probability that this person expects to save more money next year and plans to reduce debt next year which is; P(A⋂B) = 0.43 x 0.81 = 0.348 approximately 0.35
B) probability that this person expects to save more money next year or plans to reduce debt next year which is;
P(A⋃B)= P(A) + P(B) − P(A⋂B)
So, P(A⋃B)= 0.43 + 0.45 − 0.35 = 0.53
C). Probability that this person expects to save more money next year and does not plan to reduce debt next year which is;
P(A⋂B′) = P(A) − P(A⋂B)
P(A⋂B′) =0.43 − 0.35 = 0.08
D) Probability that this person does not expect to save more money given that he/she does plan to reduce debt next year which is;
P(A|B) = [P(A⋂B)] / P(B)
So P(A|B) =0.35/0.45 = 0.778
Answer: 6 is the average
Step-by-step explanation:
: 1,2,3,4,6,9,11,12
add them up divide 48 by 8
If you would like to know what is the selling price of the sweater, you can calculate this using the following steps:
40% of x is $8
40% * x = 8
40/100 * x = 8 /*100/40
x = 8 * 100 / 40
x = $20
Result: The selling price of the sweater is $20.
Answer:
(t + 6)(t - 6)
Step-by-step explanation:
(t - 6)(t + 6)
(t . t) + (t . (6) + ((-6) . t) + ((-6) . 6)
= t² - 6t + 6t - 36
= t² - 36
so,
t² - 36 = (t + 6)(t - 6)
