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katen-ka-za [31]
3 years ago
12

Please help! I'm giving branniest for the correct answer! (SHOW WORK)​

Mathematics
1 answer:
scoray [572]3 years ago
6 0

Answer:

102

Step-by-step explanation:

it's a parallelogram so it's BxH

A = 15x8 = 120

inside rectangle A is LxW

6x3 = 18

subtract the inside from the outside

120-18 = 102

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The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit
jenyasd209 [6]

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;

f(x) = \lambda e^{-\lambda x} ; x > 0

Here, \lambda = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean =  \frac{1}{\lambda}  

So,  22=\frac{1}{\lambda}  ⇒ \lambda=\frac{1}{22}

SO, X ~ Exp(\lambda=\frac{1}{22})  

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

    P(X\leq x) = 1 - e^{-\lambda x}  ; 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 - e^{-\frac{1}{22} \times 30}

                         =  1 - 0.2557

                         =  0.7443

7 0
3 years ago
Consider the following figure:
kiruha [24]

The solid 3D object that is produced by rotating the triangle about line m is a cone.

<h3>What is a triangle?</h3>

It should be noted that a triangle simply means a shape that has three sides and three angles.

In this case, the solid 3D object that is produced by rotating the triangle about line m is a cone.

Learn more about triangle on:

brainly.com/question/1058720

#SPJ1

8 0
2 years ago
Andrea drove 500 miles in 10 hours. find the average number of miles per hour that andrea drove
Sergio039 [100]
Andrea drove 50miles/hour
refer to pic for working

4 0
3 years ago
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What is the ratio of 1/6:6 = what
frutty [35]
1/6=16.666666...

So it is 16.6666.... to 6(or 100)

5 0
3 years ago
Solve for m: 18d − 2m + 9k &lt; 5k + 10
snow_tiger [21]

18d-2m+9k < 5k+10

18d-2m < -4k +10

-2m < -4k +10 -18d

m  > \frac{-4k+10-18d}{-2} (flipped the sign because we're dividing by a negative)

m  > 2k+5+9d

4 0
3 years ago
Read 2 more answers
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