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:
22.3838476568 in²
Step-by-step explanation:
First you would find the area of sector (yellow). The formula is 75/360 x π x 3².
this is equal to 5.89048622548. Now the total circle area is 3²xπ = 28.2743338823. 28.2743338823 - 5.89048622548 = 22.3838476568 in²
⭐ Answered by Foxzy0⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
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Answer:
15
Step-by-step explanation:
<em>here's </em><em>your</em><em> solution</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>Both </em><em>the </em><em>traingle</em><em> </em><em>are </em><em>similar</em><em> </em><em>hence </em><em>,</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>it's</em><em> </em><em>corresponding</em><em> </em><em>sides</em><em> </em><em>are </em><em>in </em><em>equal </em><em>ratio</em>
<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>so,</em><em>8</em><em>/</em><em>2</em><em>0</em><em> </em><em>=</em><em> </em><em>6</em><em>/</em><em>y </em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>8</em><em>y</em><em> </em><em>=</em><em> </em><em>2</em><em>0</em><em>*</em><em>6</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>y=</em><em> </em><em>2</em><em>0</em><em>*</em><em>6</em><em>/</em><em>8</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>y </em><em>=</em><em> </em><em>1</em><em>5</em>
<em> </em><em> </em><em> </em><em> </em><em>hope</em><em> it</em><em> helps</em>
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X is equal to 12
This is because 5 was multiplied and 6 making 30. So you have to multiply 2 and 6 making x 12. Hope that makes sense