<h3>
Answer: x = 61</h3>
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Explanation:
The angle x and the 29 degree angle combine to form a 90 degree angle. This is because the square maker on the left has that angle at 90 degrees, and all of the angles combine to form 180. So 180-90 = 90 is the left over amount.
Add up x and 29 to get 90
x+29 = 90
Solve for x by subtracting 29 from both sides
x+29-29 = 90-29
x+0 = 61
x = 61
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An alternative is to solve the equation below for x
x+29+90 = 180 ... see note below
x+119 = 180
x+119-119 = 180-119 ... subtract 119 from both sides
x = 61
we get the same answer
note: this equation turns into x+29 = 90 if you subtracted 90 from both sides
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:
x = 5
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Answer: 53.2
Step-by-step explanation: