Answer:
D
Step-by-step explanation:
Either try all the numbers and see which ones work or do the following.
Times both sides by 2x-5.
3=x(2x-5)=2x^2-5x
Rearrange and solve the quadratic. I will factorise.
2x^2-5x-3=0
(2x+1)(x-3)=0
so x = -1/2 or 3
a. 9:00 AM is the 60 minute mark:
b. 8:15 and 8:30 AM are the 15 and 30 minute marks, respectively. The probability of arriving at some point between them is
c. The probability of arriving on any given day before 8:40 AM (the 40 minute mark) is
The probability of doing so for at least 2 of 5 days is
i.e. you're virtually guaranteed to arrive within the first 40 minutes at least twice.
d. Integrate the PDF to obtain the CDF:
Then the desired probability is
Answer:
x = 5.25
Step-by-step explanation:
width = x
length = (x + 8)
length that overlaps with width = (x + 8) - x = 8
perimeter (clockwise)
= 90
= x + 8 + (x + 8) + x + (x + 8) + x + 8 + (x + 8) + x + (x + 8)
= 8x + 6(8)
= 8x + 48
8x + 48 = 90
8x = 42
x = 5.25
They are both right because the first expression is the perimeter but expanded in terms of length.The second expression is shortened to be a factor expression but they both represent the length.
The benefit of the first one is you can see how it’s expanded and plug the numbers in and the second one is more easy to plug in the numbers with ease.
