It takes them 45 minutes if they start at the same time, but adding them together it would be an hour.
Answer:
$10,318.62
Step-by-step explanation:
We have been given that works at Silly's and makes $33.19 an hour. He also collects a 5.3% commission on final weekly sales. If he works over 40 hours during any week, he earns double his hourly wage.
Peter's hourly charges during 1st and 2nd week would be $33.19 and hourly charges during 3rd and 4th week would be 2 times $33.19.
First of all, we will find total hourly income as:




Now, we will find income from commission on sales as:



Peter's total earnings is the last month: 
Therefore, Peter's total earnings in last month was $10,318.62.
G(x)/f(x) will be simplified to (x+3)(x-3)/2-x^1/2,
which will give you [0,4) ∪(4, ∞).
Choice B
A positive number times a negative number would always equal a negative number, so 8x-6 would be -48. lll
Answer:
a) P(A) = 0.09
b) P(A') = 0.91
c) P(B|A) = 0.4
d) P(B/A') = 0.05
e) P(A ∩ B) = 0.036
f) P(A ∩ B') = 0.054
g) P(B) = 0.0815
Step-by-step explanation:
Let A mean batch is made from two different lots and B mean batch requires additional processing
It is given in the question that
P(A) = 0.09
P(B|A) = 0.4
P(B|A') = 0.05
a) P(A) = 0.09 (given)
b) P(A') = 1-0.09 = 0.91
c) P(B|A) = 0.4 (given)
d) P(B|A') = 0.05 (given)
e) P(A ∩ B) = P(B|A) × P(A) = 0.4 × 0.09 = 0.036
f) P(A ∩ B') = P(A) - P(A ∩ B) = 0.09 - 0.036 = 0.054
g) P(B) = P(A ∩ B) + P(A' ∩ B)
P(B) = P(B|A) P(A) + P(B|A') P(A') = 0.4 × 0.09 + 0.05 × 0.91 = 0.0815
QED!