The margin of error of the random selection is 0.29
The given parameters are:
--- the sample size
--- the standard deviation
--- the mean
--- the confidence level.
The margin of error (E) is calculated as follows:
So, we have:
The z-value for 90% confidence level is 1.645.
Substitute 1.645 for z
Take square roots
Multiply
Approximate
Hence, the margin of error is 0.29
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Volume = (l * w * h) or (11 * 3 * x) which will equal surface area. Volume is 33x for now
Surface Area = 2 (x * 11) + 2 (x * 3) + 2 (11 * 3)
Set Volume equal to surface area. I simplified SA already.
33x = 22x + 6x + 66
33x - 28x = 66
5x = 66
x = 66/5 or 13.2
Let W = number of white cars, and Y = number of yellow cars.
There were 9 times as many white cars as yellow cars. This means that the number of white cars was 9 times more than the number of yellow cars. This can be translated by the expression:
9Y = W
The person counted 40 cars in total:
W + Y = 40
So we get the system:
In the first equation, we multiply by 9:
9W + 9Y = 360
In the second equation:
9Y= W
W-9Y = 0
Then we add the first with the second equation:
9W + 9Y + W - 9Y = 360
10 W = 360
W = 36
So He counted 36 white cars.
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Answer:
13²+4−1
Step-by-step explanation:
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