Daniel and William have some marbles. Daniel finds that 2/5 of the number of marble he has is 4/5 the number of marbles William
1 answer:
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Answer:
in
Step-by-step explanation:
First you must set up an equation.
Then, you must solve for x.
Answer:
52,000 liters.
Step-by-step explanation:
We know that the Bottling Department completed 56,000 liters, but this is not the total amount of production started and completed, because there are 4,000 liters that are equivalent to work-in-process. In other words, those 4,000 liters equals a partially finished product that is awaiting further processing.
Because we want to know what the final finished product is, we simply subtract these 4000 liters.
Mathematically:
L = 52,000
Answer:
a) 0.7486; b) 0.6518; c) No
Step-by-step explanation:
We use z scores to answer these questions. The formula for a z score is
Our mean, μ, is 44; our standard deviation, σ, is 1.5.
For part a,
We want P(X > 43):
z = (43-44)/1.5 = -1/1.5 = -0.67
Using a z table, we see that the area under the curve to the left of this is 0.2514. However, we want the area to the right; this means we subtract from 1:
1 - 0.2514 = 0.7486
For part b,
We want P(42 ≤ X ≤ 45):
z = (42-44)/1.5 = -2/1.5 = -1.3
z = (45-44)/1.5 = 1/1.5 = 0.67
Using a z table, the area under the curve to the left of z = -1.3 is 0.0968. The area under the curve to the left of z = 0.67 is 0.7486.
The area between them is 0.7486 - 0.0968 = 0.6518.
For part c,
A response of 35 has a z score of
z = (35-44)/1.5 = -9/1.5 = -6
This is 6 standard deviations below the mean. This is more than the amount required to make this an outlier, or an unlikely response.