your answer would be 147°
solution:
since ∠x and ∠y are supplementary angles. they must add up to 180°
so ∠+∠y=180°
∠x=180°-∠y
= 180°- 33°
=147
Answer:
3 HOURS : company A costs more
5 HOURS : Cost is the same
10 HOURS : Company B costs more
Step-by-step explanation:
Company A :
Rental fee = $100
Hourly rate = $20
Company B:
Hourly rate = $40
Cost of renting a bounce house from each company for h hours ;
Company A:
Total cost = 100 + 20h
Company B:
Total cost = 40h
If h = 3
Company A:
100 + 20(3) = $160
Company B:
40(3) = $120
FOR h = 5;
Company A:
100 + 20(5) = $200
Company B:
40(5) = $200
FOR h = 10;
Company A:
100 + 20(10) = $300
Company B:
40(10) = $400
Answer:
C
Step-by-step explanation:
Answer:
Keenan's z-score was of 0.61.
Rachel's z-score was of 0.81.
Step-by-step explanation:
Z-score:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.
This means that 
So



Keenan's z-score was of 0.61.
Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.
This means that
. So



Rachel's z-score was of 0.81.