Elijah rolls a 6 on a die. He rolls again and gets a 2. This situation describes a compound event.

Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call

Natali5045456 [20]

Answer:

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n-values of normal variable:

Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is $M = n\mu$ and the standard deviation is $s = \sigma\sqrt{n}$

Calls to a customer service center last on average 2.8 minutes.

This means that $\mu = 2.8$

75 calls each day.

This means that $n = 75$

What is the expected total amount of time in minutes the operator will spend on the calls each day

This is M, so:

$M = n\mu = 75*2.8 = 210$

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

6 0

2 years ago

Need help please answer asap

Vikki [24]

Answer:

$2x = x + 15$

Step-by-step explanation:

Angle AGH and GHD are corresponding angles, meaning they are equal. So in order to find the equation that can be used to solve for x we need to equate both angles AGH and GHD to each other.

$m < AGH\: \: \: = \: \: \: m < GHD \\ (x + 15) = (2x) \\ 15 = 2x - x \\ 15 = 1x \\ 15 = x$

They did not ask us to solve for x but I did it in case, however we can see that the answer we got corresponds with

$(1) \:2x = x + 15$

4 0

1 year ago

Read 2 more answers

a circle is inscribed in a square. the circumference of the circle is increading at a constant rate of 6 inches per second. As t

Burka [1]

Answer:

The rate at which Perimeter of the square is increasing is $\frac{24}{\pi} \ in/secs$ .

Step-by-step explanation:

Given:

Circumference of the circle = $2\pi r$

Rate of change of in circumference = 6 in/secs

We need to find the rate at which the perimeter of the square is increasing

Solution:

Now we know that;

$\frac{d(2\pi r)}{dt} =6\\\\2\pi\frac{dr}{dt}=6\\\\\frac{dr}{dt}=\frac{6}{2\pi}\\\\\frac{dr}{dt}=\frac{3}{\pi}$

Now we know that;

side of the square= diameter of the circle

side of the square = $2r$

Now Perimeter of the square is given by 4 times length of the side.

$P=4\times 2r =8r$

Now we need to find the rate at which Perimeter is increasing so we will find the derivative of perimeter.

$\frac{dP}{dt}= \frac{d(8r)}{dt}\\\\\frac{dP}{dt}= 8\times\frac{dr}{dt}$

But $\frac{dr}{dt} =\frac{3}{\pi}$

So we get;

$\frac{dP}{dt}= 8\times\frac{3}{\pi}\\\\\frac{dP}{dt}= \frac{24}{\pi}\ in/sec$

Hence The rate at which Perimeter of the square is increasing is $\frac{24}{\pi} \ in/secs$ .

5 0

3 years ago

A surface area of a cube is 96cm. What is the length of one side? What is its volume

Ganezh [65]

You are given the surface area of the cube which is 96cm2. You are asked to find the length of one side and its volume. Note that the surface area of the cube is equal to 6 times the square root of s (the side of the cube) and the volume is the cube root of s. So,

SA = 6*s^2
96cm2 = 6*s^2
s^2 = 16cm
<u>s = 4cm, this is the length of one side.</u>

V = s^3
V = (4)^3
<u>V = 64cm3, this is the volume of the cube.</u>

8 0

3 years ago

Read 2 more answers

joanne claims that (2,4) is the midpoint of the segment connecting the points (-3,5) and (7,3) is she correct? explain how you k

Zarrin [17]

Answer:

(2, 4) is correct

Step-by-step explanation:

To find the midpoint use the midpoint formula

midpoint = [ $\frac{1}{2}$ (- 3 + 7), $\frac{1}{2}$ (5 + 3) ] = (2, 4)

3 0

2 years ago