Answer:
They are complementary angles.
Step-by-step explanation:
The sum of their measurements equals 90 degrees.
Answer: total books = 180
Step-by-step explanation:
Given: Poetry section of the library has 6 bookcases.
Number of shelves in each bookcase = 3
Total shelves = (Number of shelves in each bookcase) x (Number of bookcases in each poetry section)
= 3 x 6
= 18
Number of books in each shelf = 10
Total books = (number of shelves) x 10
= 18 x 10
= 180
hence, total books in the poetry section= 180
84 blue marbles.
Steps:
1) Use the 3:7 ratio
2) Since there are 36 red marbles, you should know to multiply the ratio by 12.
3) Multiply 7 by 12 (7x12=84)
Answer:
Her z-score is 2.03.
Step-by-step explanation:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

Michelle’s height is 1.758 meters. What is her z-score?
Michelle's is a woman.
The average height of women is
and the standard deviation is 
This is Z when X = 1.758. So



Her z-score is 2.03.
The price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.
Since at HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $ 17 per member and the number of members is 81 when annual membership fee is $ 24 per member, and the number of members and membership fee have a linear relationship, to determine at what membership price is the maximized revenue, and what is the maximum annual revenue, the following calculations must be performed:
- 17 x 83 = 1411
- 24 x 81 = 1944
- 31 x 79 = 2449
- 38 x 77 = 2926
- 66 x 69 = 4554
- 73 x 67 = 4891
- 80 x 65 = 5200
- 94 x 61 = 5734
- 101 x 59 = 5959
- 122 x 53 = 6466
- 129 x 51 = 6579
- 150 x 45 = 6750
- 157 x 43 = 6751
- 164 x 41 = 6724
Therefore, the price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.
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