Answer:
11 13/15
Step-by-step explanation:
-3 2/3+b = 8 1/5
Add 3 2/3 to each side
-3 2/3 + 3 2/3+b = 8 1/5+ 3 2/3
b = 8 1/5 + 3 2/3
We need to get a common denominator of 15
8 1/5 = 8 3/15
3 2/3 = 3 10/15
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11 13/15
Answer:
225
Step-by-step explanation:
90 divided by 2 is 45, 45 times 5 is 225
Answer:
$1,956.80
Step-by-step explanation:
For amounts over $6000, the commission can be computed as ...
0.14s -300 . . . . . . for sales (s) ≥ 6000
So, for $16,120 in sales, the commission is ...
0.14×$16,120 -300 = $2,256.80 -300 = $1,956.80
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The commission schedule suggests that for larger amounts, you divide the problem into two parts: calculate the commission on $6000, and separately calculate the commission on the amount over $6000.
0.14(s -6000) + 0.09(6000)
= 0.14s - 0.14·6000 +0.09·6000
= 0.14s -300 . . . . the formula used above for s ≥ 6000
Answer:
The minimum score required for admission is 21.9.
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 problem, we have that:

A university plans to admit students whose scores are in the top 40%. What is the minimum score required for admission?
Top 40%, so at least 100-40 = 60th percentile. The 60th percentile is the value of X when Z has a pvalue of 0.6. So it is X when Z = 0.255. So




The minimum score required for admission is 21.9.