Answer:
The probability that a randomly selected call time will be less than 30 seconds is 0.7443.
Step-by-step explanation:
We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.
Let X = caller times at a customer service center
The probability distribution (pdf) of the exponential distribution is given by;

Here,
= exponential parameter
Now, the mean of the exponential distribution is given by;
Mean =
So,
⇒
SO, X ~ Exp(
)
To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;
; x > 0
Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)
P(X < 30) =
= 1 - 0.2557
= 0.7443
Answer:
First question --> C) 8.5h
Second question --> D) 2
Step-by-step explanation:
First question
Terry earns $10 per hour
Jill earns 20% less which is $2 less
Jill earns $8 per hour
Jerry earns $0.50 more per hour than Jill
Jerry earns $8.50 per hour
Second question
x = 2
y = 4
(2x + 3y) / 4 - 2 = ?
Use PEMDAS
so Parentheses first, then divide, then subtract
So.... (2x + 3y) = (2*2 + 3*4) = (4 + 12) = 16
Then divide
16/4 = 4
Then subtract
4 - 2 = 2
It is helpful to first plug this in to point-slope form (note that there are other ways to do this).
Using the form

, you get

. You can simplify this to get

.
Answer choice A
Answer:
yes
Step-by-step explanation:
You just do it
- Slope formula:

Firstly, let's set up our equation. Place the two coordinates in the slope formula and have it equal 8: 
Next, combine like terms: 
Next, multiply both sides by 7: 
Next, add 4 onto both sides of the equation: 
Lastly, divide both sides by 2 and <u>your answer will be
</u>