Factor the linear expression 8x+4
2 answers:
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Answer:
<u>Step-by-step explanation:</u>
The probability of Event B given Event A = the intersection of Event A and B divided by the probability of Event A. (see below for the symbols)
P(A) = (1, 6), (1, 5), (1, 4), (1, 3), (1, 2), (1, 1)
(2, 6), (2, 5), (2, 4), (2, 3), (2, 2), (2, 1)
(3, 6), (3, 5), (3, 4), (3, 3), (3, 2), (3, 1)
(4, 5), (4, 4), (4, 3), (4, 2), (4, 1)
(5, 4), (5, 3), (5, 2), (5, 1)
(6, 3), (6, 2), (6, 1)
= 30
P(B) = (1, 2), (2, 1) sum = 3
(1, 5), (2, 4), (3, 3), (4, 2), (5, 1) sum = 6
(3, 6), (4, 5), (5, 4), (5, 4), (6, 3) sum = 9
(6, 6) sum = 12
= 12
P(A ∩ B) = (1, 2), (2, 1)
(1, 5), (2, 4), (3, 3), (4, 2), (5, 1)
(3, 6), (4, 5), (5, 4), (5, 4), (6, 3)
= 11
Answer:
Hourly rate: $17.
Hourly overtime rate: $25.5.
Step-by-step explanation:
Let x represent Jim's hourly pay.
We have been given that Jim worked 40 hours last week. So amount paid in 40 hours would be .
We are also told that his over time pay is time-and-a-half rate that is .
The amount earned for working 8 overtime hours would be .
Since Jim's gross pay was $884, so we will equate amount earned in 40 hours and 8 hours of overtime with 884 as:
Therefore, Jim's hourly rate is $17.
Overtime rate would be
Therefore, Jim's hourly overtime rate is $25.5.