Answer:
The answers are a) 1/3 and b) 1/3
Step-by-step explanation:
we will consider t to be the arrival time variable in minutes. We will have it run from 0 min to 30 min omitting the 7 hours , which won't change the results since the PDF we are about to calculate is a constant.
So the PDF of the arrival time is a constant and the since the area under this PDF distribution should be equal to 1 so, Let the height of the constant distribution equal to c, so c*30 (which is equal to the total probability) would be the area under the distribution, but this area should be equal to 1, So that gives us c=1/30 which is the value of the constant PDF for all corresponding arrival times.
part a) of the question asks for the probability that the passengers wait less than 5 minute. The passengers would have to wait for the bus 5 min or late if they arrive between the times (10 - 15 )min and (25 - 30) min. So we will have to integrate the PDF corresponding to these times and then we will will just have to add the probabilities calculated as give below,

Now part b) of the question asks for the probability that the passenger waits for more than 10 minutes. Which can be calculated by noting that that can only happen if the passenger arrives between the times (0 - 5) min and (15 - 20) min. So we will have to integrate the PDF corresponding to these times and then we will will just have to add the probabilities calculated as give below,

The answer to part b) is 1/3.
Answer:
The two options are:
-3x² - 11x + 11 and 5x² + 3x - 7
Step-by-step explanation:
When two polynomials are subtracted the difference is
-4x² - 7x + 9
One of the polynomials is
x² - 4x + 2
To get the second polynomial, we an either add x² - 4x + 2 to -4x² - 7x + 9 or subtract -4x² - 7x + 9 from x² - 4x + 2
First Option:
(x² - 4x + 2) + (-4x² - 7x + 9)
= x² - 4x + 2 - 4x² - 7x + 9
= x² - 4x² - 4x - 7x + 2 + 9
= -3x² - 11x + 11
Secons Option:
(x² - 4x + 2) - (-4x² - 7x + 9)
= x² - 4x + 2 + 4x² + 7x - 9
= x² + 4x² - 4x + 7x + 2 - 9
= 5x² + 3x - 7
Therefore, the two options are:
-3x² - 11x + 11 and 5x² + 3x - 7
Answer:
C 210
Step-by-step explanation:
To solve this, First we must take 42/3, Since it equals 14, we take 15x14 and find 210
(edit: to solve for Kim's missing values, you do the same with 2 and 32)
Answer:
No
Step-by-step explanation:
negative numbers work the opposite of how positive numbers work. Think about it like this. -12 is 12 units less than 0 and -12.5 is 12.5 units less than 0 which means that -12.5 is less than -12
Answer:
Lisa must get an 88.75 or higher to stay in between 80 and 90.
Step-by-step explanation: