The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the probability that 2 fax machines need toner at the same time?

Answers

Answer 1

Answer:

That is an indeterminant question, as we do not know the amount of fax time used of each machine and it certainly won't be equal. However, based on whats given you could say

Step-by-step explanation:

5 hrs. use / 0.25 service time = 20 / 3 machines = 6.67. Probability of needing to service 2 machines simultaneously is: 1/6.67 = 15%.

Answer 2

The Probability of needing to service 2 machines simultaneously is 15%.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

The school of business has 3 fax machines.

and, It takes him 15 minutes to replace the toner cartridge.

So, 5 hours / 0.25 service time

= 20 / 3 machines

= 6.67.

Then, the Probability of needing to service 2 machines simultaneously

= 1/6.67

= 15%.

Hence, the probability is 15%.

Learn more about Probability here:

https://brainly.com/question/11234923

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Related Questions

If the perimeter of a rectangle is 6x2-5x - 19, and you are given that the
length of the rectangle is 6x2-14. What is the width?

Answers

Answer:12-14

Step-by-step explanation:

A boat takes 2 hours to travel 15 miles upriver against the current. If the rate of the boat in still water is 13 miles per hour what is the rate of the current?

Answers

Answer:

The rate of the current is 5.5 miles per hour

Step-by-step explanation:

Relative Speeds

The boat takes 2 hours to travel 15 miles upriver against the current. The speed is 15/2 = 7.5 miles per hour.

Since the boat in still water can travel at 13 miles per hour, it means the current subtracts its speed from the speed of the boat:

Vcurrent = 13 mi/h - 7.5 mi/h

Vcurrent = 5.5 mi/h

The rate of the current is 5.5 miles per hour

An equation is shown
58 – 9 = 60 – n
Find the value of n in the equation

A. n = 11
B. n = 10
C. n = 7
D. n = 2

Answers

Answer: The answer is A. n=11.

Step-by-step explanation: To find the value of n in the equation, you’ll need to isolate the variable by dividing each side by factors that don't contain the variable.

Which number is the additive inverse of -5?
-1/5
O
1/5
5

Answers

Answer:

the answer is 5

Step-by-step explanation:

*additive inverse of a number is the number that when added to its original number yields to zero. the number is also known as the opposite or negation

let the additive inverse be = x

-5 + x = 0

x = 0 + 5

x = 5

the additive inverse of -5 is 5

Answer:5

Step-by-step explanation: I can’t really explain it to you but I just know I got you guys

what TWO expressions equal 12−(−33) ?

Answers

Answer:

12+33 and 33 - (-12)

Step-by-step explanation:

12 - (-33) = 45

12 + 33 gives us 45

33 - (-12) gives us 45

Which of the following is the weakest r-squared value? Which one is the strongest?
Answer choices: .691, -.14, .24, -.77

Answers

Answer:

Weakest value = 0.0196

Strongest value = 0.5929

Step-by-step explanation:

Given:

Choices

0.691

-0.14

-0.24

-0.77

Computation:

0.691² = 0.477481

-0.14² = 0.0196

-0.24² = 0.0576

-0.77² = 0.5929

Weakest value = 0.0196

Strongest value = 0.5929

The time needed for all college students to complete a certain paper-and-pencil maze follows a normal distribution with a population mean of 30 seconds and a population standard deviation of 3 seconds.

You wish to see if the mean time μ (where μ stands for population mean) is changed by vigorous exercise, so you have a group of nine college students exercise vigorously for 30 minutes and then complete the maze. It takes them an sample average of 31.2 seconds to complete the maze. Use this information to test the hypotheses:

H0: μ = 30,

Ha: ≠30

at the significance level of 0.01.

You conclude:


a) There is not enough evidence to support the claim.

b) There is enough evidence to support the claim.

Answers

Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu = 30\ seconds[/tex]

    The standard deviation is  [tex]\sigma = 3 \ seconds[/tex]

     The sample size is  n  = 9

    The null hypothesis is [tex]H_o: \mu = 30[/tex]

     The alternative hypothesis is  [tex]H_a : \mu \ne 30[/tex]

    The level of significance is  [tex]\alpha = 0.01[/tex]

    The sample mean is  [tex]\= x = 31.2[/tex]

Generally the test statistics is mathematically represented as

      [tex]z = \frac{ \= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]

=>   [tex]z = \frac{ 31.2 - 30}{ \frac{3}{\sqrt{9} } }[/tex]

=>   [tex]z = 1.2[/tex]

From the z table  the area under the normal curve to the right corresponding to  1.2  is    

         [tex]P(Z > 1.2) = 0.11507[/tex]

Generally the p-value is mathematically represented as

         [tex]p-value = 2 * P(Z > 1.2)[/tex]

=>       [tex]p-value = 2 *0.11507[/tex]

=>       [tex]p-value = 0.230[/tex]

From the value obtained w can see that

         [tex]p-value > \alpha[/tex] hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is there is not enough evidence to support the claim

(04.03 LC)
The graph shows the number of gallons of white paint that were mixed with gallons
of yellow paint in various different ratios:
Mixing Palnt
126
White Paint ờs
n galons) 4
21
912 15 18 21 2
Yellow Paint (in gallons)
The number of gallons of white paint mixed with 1 gallon of yellow paint is
point)
(1
A

Answers

Answer:

7 white paints

Step-by-step explanation:

Given

The attached graph

Required

Determine the number of white paints per yellow paints

The interpretation of this question is to determine the slope or rate of the graph.

Represent the yellow paints with x and the white with y

So, we have:

[tex](x_1,y_1) = (3,21)[/tex]

[tex](x_2,y_2) = (9,63)[/tex]

The slope is then calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{63- 21}{9 - 3}[/tex]

[tex]m = \frac{42}{6}[/tex]

[tex]m = 7[/tex]

Hence, 7 white paints are needed per 1 yellow paint

need help with this
//////////////////////////

Answers

Answer:

C

Step-by-step explanation:

HOPE THIS HELPED !! :D

Answer:

[tex] \frac{5}{6} \: of \:\frac{-4}{15} \\ \frac{5}{6} \times \frac{ -4 }{15} \\ \: \boxed{\frac{ - 2}{9} }[/tex]

3) -2/9 is the right answer.

HELP ILL MARK BRAINLIEST

1. Calculate...
a) Using Long Division show your work.
(-6x – 5 + x4 + 4x3) - (x2 – 8)

Answers

Answer:

its 85

Step-by-step explanation:

how to take pictures?

Answers

You go to the scan and tap that and then take a photo of the question you have and then press use photo then you have your answers that should show up

Answer:

when you first go on to brainly it should say scan if you are on a chrome book it doesn't work

Step-by-step explanation:

Dollar General is having a 20% off clearance sale on all Thanksgiving items. Which expressions can be used to find the
price of a Thanksgiving item, T, in the store before tax? Select two choices.
A 0.20T
BT-0.207
C 1.20T
DT-0.80T
E 0.80T

Answers

Answer: b

Step-by-step explanation:

in the term 4p, the variable p is raised to the power of 0 or 1 ?

Answers

Answer:

1

Step-by-step explanation:

anything raised to the power of 0 would equal 1 and p doesn't equal 1 here.

Answer:

4 or 0

Step-by-step explanation:

well if the variable p became 0 the term 4p would look more like this 4(0) or   4 * 0 making the answer be 0

If the variable was changed into 1 the term 4p would become 4(1) or 4 * 1 as of such the answer would be 4.

now if you are raising p to a 0 so the term is more like this: 4p to the power of 0 then your answer would be 1. Because p would change to 0.

Now if you had 4p to the raised power of 1 then your answer would be 4 because p was changed to a 4.

I hope this answers your question.

Multiply 8.88 x 10 . Explain the shift of the digits and the change in the value of each digit.

Answers

Answer:

Since it is multiplied by ten, its basically multiplying 8.88 by 1 and moving the decimal to the right once. Multiplying numbers by 10s, 100s etc. means you have to shift the decimal point to the right based on a number of zeros multiplied.

Step-by-step explanation:

Hope I helped u!!!

what is 2+1 and explain ur answer

Answers

2+1 is 21 because 2 and 1 make 21 so it’s 21
umm im not sure but i think its 3

What is the sum of -2/6 and 3/2?
A. -11/6
B. -7/6
C. 7/6
D. 11/6

Answers

Answer:

c. 7/6

Step-by-step explanation:

Answer:

C. 7/6

Step-by-step explanation:

I was doing the math and the same question came up for my kid and when my kid turned it in My kid got it right so C is correct

I have no idea how to do this help me please

Answers

Answer:

(2,9) (4,9) (6,10) (8,11)

Step-by-step explanation:

X is the input. Y is the output. In an ordered pair (X, Y) we must match the inputs and outputs based off the arrows. We see that the 2 in the input section points to the 9. This signifies an ordered pair. From this, we can graph these points.

use the figure to find the measures of the numbered angles.

Answers

Answer:

[tex] < 1 = 81 \\ < 2 =99 \\ < 3 =81 \\ < 4 = 99\\ < 5 = 81 \\ < 6 =99 \\ < 7 = 81[/tex]

For the parallelogram shown below, find coordinates for P without using any new variables.

Answers

Answer:

The answer is B

Step-by-step explanation:

What is the area of a triangle with 2 ft by 2 ft

Answers

Answer:

A=hbb

2

Step-by-step explanation:

Answer:

If the base is 2 and the height is 2, the area is 2

Step-by-step explanation:

How to estimate the quotient of 49.3 divided by 6

Answers

that would be 8 because the answer is 8.21 and you round down to 8

If x=-2 is a solution to the equation f(x)=g(x) which of these statements must be true?
A) The graphs of f and g intersect each other at x=-2.
B) The graphs of f and g intersect each other at x=2.
C) The graphs of f and g intersect the x-axis at -2.
D) The graphs of f and g intersect the y-axis at -2.

Answers

Answer:B

Step-by-step explanation:I didn’t the test

Trust me

Answer: B

I found out once i finished the test

Help me out please!!!

Answers

1) side BD is common

2) angle ABD is equal to angle BDC (alternate angles)

3) angle CBD is equal to angle ADB (alternate angles)

The cube of y varies directly as z. When y = 8, z = 8. Heather’s work finding the value of y when z = 64 is shown:


y^3 = kz

8 = k x 8

1 = k


y^3 = 1 x 64

y^3 = 64

y = 4


What is the first error, if any, in Heather’s work?


A. She did not make any errors.

B. She substituted incorrectly when calculating the constant of variation.

C. She cubed the wrong variable when making her equation.

D. She used an equation that models inverse variation instead of direct variation.

Answers

Answer:

Step-by-step explanation:

If the cube of y varies directly as z, then;

y³ ∝ z

y³ = kz

k is the constant of proportionality

y³ = kz

When y = 8, z = 8.

8³ = 8k

k = 8³ /8

k = 64

To get the value y when z = 64, we will have;

y³ = kz

y³ = 64(64)

y³ = 4096

y= ∛4096

y = 16

Hence the value of y is 16

Answer:

b

Step-by-step explanation:

what is the square root of 325698

Answers

Answer: 570.6995707 hope this helped !

Estimation while exploring a planet, a robot descends at a rate of 267 feet
every 3.3 hours from a hill peak 1,620 feet above sea level.
Estimate the robot's rate of descent by rounding to the nearest 10 feet and
the nearest whole hour.

Answers

Answer:

The robot descends at a rate of 80 feet per hour.

Step-by-step explanation:

267/3.3 = 80.9090...

complete the identity

sin 2x - cot x​

Answers

Answer:

Solve the scientific Calculator

A certain plant grows 1 1/6
inches every week. How long will it take the plant to grow 4 1/6
​inches? IN WEEKS

Answers

Answer:

4 weeks

Step-by-step explanation:

1 1/6 every week x 4weeks = 4 1/6

Answer:

About 4 weeks

Step-by-step explanation:

x = 1 1/6w

4 1/6 = 1 1/6w

25/6 = 7/6w

6/7 x 25/6 = 7/6w x  6/7

150/42 = w

3.57142857143 = w

w ≈ 4

All ratios equivalent to 24:12

Answers

Answer:

There are so many:

2:1

4:2

6:3

The average price of a 30 second commercial for the 2002 Super Bowl was $1,900,000. What was the price per second?

Answers

Answer:

$63,333.33

Step-by-step explanation:

Divide 1,900,000 by 30 to get $63333.3333....which technically just rounds to $63333.33, and if you want to go further, $63333.

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