Answer:
1/2
Step-by-step explanation:
Given:
sinx=-1/2
cosy=√3/2
finding x
x=sin^-1(-1/2)
x=-π/6
x=-30°
finding y
cosy=√3/2
y=cos^-1(√3/2)
y=π/6
y=30°
Now finding cos(x-y)
cos(-π/6-π/6)
=cos(-π/3)
=1/2!
Answer:
x = 5
Step-by-step explanation:
4x + 17 = 12x - 23
23 + 17 = 12x - 4x
<u>40</u> = <u>8x</u>
8 8
5 = x
Answer:
B) -16
Step-by-step explanation:
-4-3-1-8
subtract them all lol
7+9= 16
Then add the negative symbol
-16
The 3rd answer because -3 is the smallest y intercept

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
