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2 years ago

The area of a circle is 100 pie. What is the radius? A 25 B) 10 C 50 D) 5

Mathematics

1 answer:

Alexeev081 [22]2 years ago

7 0

Answer:

50 (hope this helps, have a good day)

Step-by-step explanation:

just divide The area divided by 2

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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

Se quieren llenar 100 botellas de agua con una capacidad de 1/4lt ¿cuantos litros de agua son necesarias?

Mrac [35]

Answer:

Step-by-step explanation:

Because 100 25+25+25+25 or 25/1/4

7 0

2 years ago

Use the drop-down menus to complete each question so the statement about its solution is true.

spin [16.1K]

Step-by-step explanation:

• no solution:

3x+9+4x+x = 8x + 9

• one solution:

3x+9+4x+x = 7x + 11

• infinitely many solutions:

3x+9+4x+x = 8x + 11

4 0

3 years ago

What is the value of 4(25-5)?

sweet [91]

First you subtract 25 from 5 which equals 20 then you multipliy 4 to 20 and you get 80...so 80 is your solution.

7 0

3 years ago

A warehouse contains 7250 books in it. Books are being shipped from the warehouse such that the number of books decreased by 150

Lapatulllka [165]

Using an linear function, we have that:

The inequality is: $-150D + 7250 < 2000$

The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem:

A warehouse contains 7250 books in it, hence b = 7250.

Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.

Thus, the number of books each day is modeled by the following function:

$B(D) = -150D + 7250$

It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:

$B(D) < 2000$

$-150D + 7250 < 2000$

Then:

$-150D < -5250$

$150D > 5250$

$D > \frac{5250}{150}$

$D > 35$

The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

More can be learned about linear functions at brainly.com/question/24808124

7 0

2 years ago