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We are asked to simplify the expression
.

That's exactly what we need to do - combine like terms.
So, we subtract:

Which gives us:

Hope it helps you out! :D
Ask in comments if any queries arise.
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Answer:
width = 1 1/3 inches
length = 9 2/3 inches
Step-by-step explanation:
let 'w' = width
let '7+2w' = length
P = 2l + 2w
22 = 2w + 2(7+2w)
22 = 2w + 14 + 4w
8 = 6w
w = 4/3 or 1 1/3
substitute 1 1/3, or 4/3, to find length:
l = 7 + 2(4/3)
l = 7 + 8/3 or 9 2/3
You write it as a ratio eg. SF(large→small)=20:7
Answer:
The percentage of students who scored below 620 is 93.32%.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

Percentage of students who scored below 620:
This is the pvalue of Z when X = 620. So



has a pvalue of 0.9332
The percentage of students who scored below 620 is 93.32%.
Yes for the first one, yes for the second one, and yes for the third one although your subtraction equation had the wrong year (its not 1847 its 1846) but the answer was right, 65.