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Mice21 [21]
3 years ago
5

Jim,Kim,Ben, and Len divided $1000 as follows: Kim got twice as much as Jim,Ben got 3times as much as Jim, and Len got $100. How

much, in dollars, did Jim get ?
Mathematics
1 answer:
marta [7]3 years ago
6 0
J+K+B+L=1000
K=2J
B=3J
L=100
1000-100=900
J+(2J)+(3J)=900
6J=900 Divide both sides by J.
J=150
Jim gets $150
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3 years ago
The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit
jenyasd209 [6]

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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;

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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

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7 0
3 years ago
What is the surface area of the cube below?
Elden [556K]

Answer:

150 units^2

Step-by-step explanation:

A cube has all equal sides. This one has five units for every side.

There are 6 faces here, and 4 vertices for every face.

The equation would look like this 6 x side^2.

Which would also equal to 6 x 5^2.

If you do this, you will find that the answer is 150 units^2.

7 0
3 years ago
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