Answer:
Area: 24 sq units
Step-by-step explanation:
Area of a rectangle formula:
A = 0.5bh
Given:
b = 6
h = 8
Work:
A = 0.5bh
A = 0.5(6)(8)
A = 3(8)
A = 24
Answer:
0.2941 = 29.41% probability that it was manufactured during the first shift.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Defective
Event B: Manufactured during the first shift.
Probability of a defective item:
1% of 50%(first shift)
2% of 30%(second shift)
3% of 20%(third shift).
So

Probability of a defective item being produced on the first shift:
1% of 50%. So

What is the probability that it was manufactured during the first shift?

0.2941 = 29.41% probability that it was manufactured during the first shift.
Answer: The copy machine makes 171 copies in 4 minutes and 45 seconds.
Step-by-step explanation:
Let's dissect the question. The copy machine makes 36 copies per minute.
36 per min.
To see how many copies it makes in 4 minutes and 45 seconds, we multiply 36 * 4.75. 45 seconds is 3/4ths of a minute, or 0.75 of a minute.

It makes 171 copies in 4 minutes and 45 seconds.
15/6=2.5 which is the scale factor since they are similar triangles. We divide each side of the large triangle by 2.5 to get the sides for the small triangle since they are similar. 20/2.5=8cm
25/2.5=10cm
For the second problem, you put 15/6 and set in equal to x/8 when you cross multiply you get 6x=120 then you divide x=20
For the last problem, you divide 43,75 by 5 then multiply it by 400 to get the kiloliters which equals 3,500.