19. 10 divided by 3 = 5 pounds
20. 5.5 divided by .5 = 11
21. no because 1.25 x 2.5 = 3.12 and she only has $3
22. the restaurant because the restaurant wants to buy 30lb and its $1.25 so 30 x 1.25 = 37.5 and the hotel buys 12 lb for $3 so that is 12 x 3= 36
Answer:

Step-by-step explanation:
Given
← factorise numerator and denominator
2x² - 18 ( factor out 2 from each term )
= 2(x² - 9) ← difference of 2 squares
= 2(x - 3)(x + 3)
and
x² + 4x - 21 = (x + 7)(x - 3) , then
=
← cancel common factor (x - 3) on numerator/ denominator
= 
Answer:
The mean is 11.5 minutes and the standard deviation is of 6.64 minutes
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean is:

The standard deviation is:

Arrival time of 9:18 am and a late arrival time of 9:41 am.
9:41 is 23 minutes from 9:18. So the time is uniformily distributed between 0 and 23 minutes, so a = 0, b = 23.
Mean:

Standard deviation:

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes
Csc²x - 1
1/sin²x - 1
1/sin²x - sin²x / sin²x
(1 - sin²x) / sin²x
Recall that sin²x + cos²x = 1
So cos²x = 1 - sin²x
So we can replace numerator to cos²x
cos²x / sin²x
= cot²x
Final answer: cot²x
Answer:
36.9
Step-by-step explanation: