Step-by-step explanation:
Find angle W first:
37 + 93 + W = 180 ---> W = 50°
Use sine law to find the length w:
w/(sin 50) = 31/(sin 37)
w = 31(sin 50/sin 37)
= 39.5
Answer:
d. 76.98%
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:

What percentage of MBA's will have starting salaries of $34,000 to $46,000?
This is the pvalue of Z when X = 46000 subtracted by the pvalue of Z when X = 34000. So
X = 46000



has a pvalue of 0.8849
X = 34000



has a pvalue of 0.1151
0.8849 - 0.1151 = 0.7698
So the correct answer is:
d. 76.98%
Answer:
The lateral area is 
Step-by-step explanation:
we know that
The lateral area of a right prism is equal to

where
P is the perimeter of the base of the prism
H is the height of the prism
in this problem we have


substitute

If you divide the numbers on the bigger triangle by 5 you get the numbers on the smaller one
Answer:
300+400+500=1200
Step-by-step explanation:
given total paid $2400
spend $1200 on a rent (half of his paid)
so rest he spend as a ratio of 3:4:5=1200
let x as a amount he using to pays rest of the bills so
3x+4x+5x=1200
12x=1200
x=1200/12
x=100
so he spends 3x=300
4x=400
5x=500
hope it helps you
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