Answer:
x-intercept = 3 ; y-intercept = -5
Step-by-step explanation:
Lets rearrange the equation into the form y = mx + b:
5x - 3y = 15
-3y = 15 - 5x
Divide by -3:
y = 5x/3 - 5
Here we know that b (-5) is the y-intercept, and we can find the x-intercept by starting at the y-intercept and using the slope till we get the x-intercept. Or you can set y = 0 and solve for x, either way you get x-intercept = 3.
45 minutes.
3 x
--- ----
4 60
you multiply 60 and 3.
you get 180, then you divide by 4 and get 45 minutes.
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:
1) one
2) zero
Step-by-step explanation:
e/sinE = g/sinG
10/sin64 = 9/sinG
sinG = 0.8089146417
G = 53.99
j/sinJ = k/sinK
3/sin129 = 8/sinK
sinK = 2.072389241