Answer:
56.7
Step-by-step explanation:
Hello There!
<u>Trigonometric Ratios</u>
sin = opposite divided by hypotenuse
cos = adjacent divided by hypotenuse
tan = opposite divided by adjacent
we need to find x and we are given its opposite side length and the hypotenuse
so the trigonometric ratio we need to use is sin
knowing that sin = opposite side divided by hypotenuse we create an equation

our final step is to round to the nearest tenth of a degree
so we can conclude that the measure of angle A is 56.7
note: arcsin = inverse of sin
Answer:
7.64% probability that they spend less than $160 on back-to-college electronics
Step-by-step explanation:
Problems of normally distributed samples can be 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:

Probability that they spend less than $160 on back-to-college electronics
This is the pvalue of Z when X = 160. So



has a pvalue of 0.0763
7.64% probability that they spend less than $160 on back-to-college electronics
$40,000
Let x be the sales amount.
600+0.02x=1000+0.01x
x=$40,000
Do you know your trig ratios?
I need more information, do you know how high Jessie flew and how low under sea level she went?