10.Suppose that you have bought 3 large glass-fronted cabinets. You have three workers, A, B and C, to help you with transporting the cabinets from the furniture store to your home, and you want them to finish it in (at most) one trip each. From past experience, it is known that the probability that A breaks something in a given trip is 10%, the probability that B breaks something in a given trip is 15%, and the probability that C breaks something in a given trip is 20%. The events that A, B, or C breaks something in a given trip are independent of each other. You come up with three strategies: (a) A transports all the furniture, (b) A transports two cabinets and B transports one cabinet, or (c)

Answers

Answer 1

Answer:

Step-by-step explanation:

To find the expected no of broken cabinets for each strategy.

If A transport all the furniture

Suppose X₁ = number of furniture A broken

X₁ follows a binomial with n = 3, p = 0.10

E(X₁) = np

E(X₁) = 3 × 0.1

E(X₁) = 0.3

If A transport two (2) cabinets & B transport one (1) cabinet

expected no. of the broken cabinet by A out of 2 is

= 2 × 0.1

= 0.2

Suppose X₂ denotes the no of broken furniture by B

E(X₂) = np

where n= 1 and p = 0.15

E(X₂) = np

E(X₂) = 1 × 0.15

E(X₂) = 0.15

Thus. the expected number of broken cabinets = 0.2 + 0.15 = 0.35


Related Questions

Pls help I’ll brainlest for the right answer

Answers

Answer: 101 2/3

Step-by-step explanation:

Help me.. People who are just trying to get points by just spamming peoples questions, will be reported

Answers

Answer:

I'd say half

Step-by-step explanation:

What is the equation of the line in slope-intercept form 

Answers

Answer:

y=3/5x+3

3 is where the line goes through the y-axis

3/5 is the slope (rise/run)

Step-by-step explanation:

choose the points that lies in the line and do the above process.

while shopping for clothes Jaclyn spent 38 less than 2 times what Daniel spent. Jaclyn spent $10. Writes and solve an equation to find how much Daniel spent. Let x represent how much Daniel spent.

How much did Daniel spend?

Answers

38-(2•x)=10 < equation
$14 < Dylan spent

A quadratic function is described by the equation f(x) = (x - 3) ^ 2 Which statement about the graph of the function is true?
A The only zero of the function is 3 which is where the graph of the function intersects the x-axis
В. The only zero of the function is 3 which is where the graph of the function intersects the y-axis.
C.The only zero of the function is , which is where the graph of the function intersects the x-axis.
D.The only zero of the function is is where the graph of the function intersects the y-axis .

Answers

Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis

Step-by-step explanation:

Remember, a quadratic function which has roots x = a, and x = b, can be written as:

p(x) = A*(x - a)*(x - b)

Where A is the leading coefficient. This is the factorized form of a quadratic.

We have the function:

f(x) = (x - 3)^2

Now, we could rewrite this as:

f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)

Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)

Then the only root of f(x) is x = 3.

Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:

A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis

What is the y-intercept of the line given by the equation y = 8x + 75?
A. (0,75)
B. (0,-8)
C. (0, -75)
D. (0,8)​

Answers

Answer:

The answer is A.

Step-by-step explanation:

In a linear equation, y = mx + b where b represent y-intercept.

y-intercept is the point where it touches y-axis, so the value of x is 0.

The y-intercept of the given equation is (0, 75). Therefore, option A is the correct answer.

What is a y-intercept?

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

The given equation of a line is y=8x+75.

To find the y-intercept, set x = 0 and solve for y.

Here, substitute x=0 in y=8x+75, we get

y=8(0)+75

y=75

So, the y-intercept is (0, 75)

Therefore, option A is the correct answer.

To learn more about the y-intercept visit:

brainly.com/question/14180189.

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· y = 3x - 7
Find the slope

Answers

Answer:

3

Step-by-step explanation:

the slope of an equation (y=mx+b) is always "m", or the coefficient right infront of x. in this case, y=3x-7, 3=m, -7=b. m is the slope, so the slope is 3.

the correct answer is 3 because is the right slope

Eighteen hats are packaged in 2 boxes. How many hats are packaged in 7 boxes? Justify your answer.

Answers

Answer:

63

Step-by-step explanation:

2 ways: 18/2 = 9   9 times 7 is 63

18 times 3 =54 plus 9 (because 18/2 is 9) is 63

t-shirts for $2 and shorts for $4. the total sales were $600. they sold four times more tshirts than shorts how many tshirts and shorts did they sell?​

Answers

Answer:

T-shirts: 200

Shorts: 50

Step-by-step explanation:

To solve, set up an equation using two variables to represent the number of t-shirts and shorts sold.  Let x = t-shirts sold. Let y = shorts sold.  2x + 4y = 600.    We know that x will be 4 times greater than y, so we can plug in some guesses that seem reasonable and use the equation to test our theories.  My first guess was 50 shorts, which by luck was the correct answer.  These problems can be tricky, but setting up an equation can prove to be a great help.

Explain your answer !!

Have a great day

Will give brainlst

Answers

It is unevenly distributed with the soil because over the year and states it changes around the country.

PLEASE HELP I WILL MARK BRAINLY IF THE ANSWER IS CORRECT

Answers

Answer:

I think it is B.

Step-by-step explanation:

Hope this helps.

I’m pretty sure it’s b

can someone please help

Answers

Answer:

31.5

Step-by-step explanation:

P=a+b+c=10.5+10.5+10.5=31.5,

Leah read 1/2 of a book in the morning, and she read some at night. By the end of the day, she still had 2/5 of The book to read left. How much of the book did Leah read at night?

Answers

Answer:

1/10

Step-by-step explanation:

First, you have to get common denominators, so we will use 10. She read 5/10 in the morning, so that is 5/10 of the book left. 2/5 = 4/10 left, so if you added those two numbers up, you only get 9/10. So this means that she read 1/10 at night. I hope this helps!

please help me find slope

Answers

Answer:

the slope is 3 because y2-y1/x2-x1 is equal to your slope.

5-2 is 3 and 2-1 is 1, 3/1 is equal to 3.

Step-by-step explanation:

Answer:

The answer is 3

Step-by-step explanation:

Have a great Thursday!

:)

There is an unknown number of people at the beginning of lunch. Then...

Each student had 3 friends come sit with them, tripling the amount.
Then the entire group divided into 4 groups, and all but one group left and went outside, so only 1 fourthof the total students were left in the lunchroom
7 more people came into the lunchroom
The total number of people in the lunchroom at the end of lunch was 16

Answers

Answer:

5.25

Step-by-step explanation:

Ally picked 25 roses. She gave away 10 roses. What percent of the roses does Ally still have?

Answers

Answer:

25%

Step-by-step explanation:

25%, hopefully this helps, stay safe !

CAn you help witht this fast!

Answers

Answer: 150% sugar

Step-by-step explanation: Make a proportion.

150% sugar sorry if I’m wrong

Pls help me jenejfnnfnwndndbenjwjdndnwkjs

Answers

19 in is less than 2yrds and 4in.

Answer:

I have no clue

Step-by-step explanation:

HAHA

6 1/2 minus 5 3/4 in math

Answers

Solve for: 6 and 1/2 minus 5 and 3/4
1. First off, we will convert both of these mixed number fractions into improper fractions.
6 and 1/2 minus 5 and 3/4
= 13/2 - 23/4
2. Next, to subtract these fractions, we need to find a common demo which is 4 so, we would leave the second fraction as is but, we need to multiply the numerator and denominator of the first fraction both by 2.
13/2 - 23/4
= 26/4 - 23/4
3. Lastly, we just need to subtract the fractions together, so, the way to do this is to just subtract the 23 from the second fraction from 26 which is in the first fraction and the denominators will remain the same which is 4, so, let’s do that.
26/4 - 23/4
= 3/4

So, in conclusion, 6 and 1/2 minus 5 and 3/4 is equal to: 3/4 or 0.75 or 75%.

6 and 1/2 minus 5 and 3/4 mathematically is equivalent to 3/4 .

Given, 6 and 1/2 minus 5 and 3/4 .

Solve for:

1. First off, convert both of these mixed number fractions into improper fractions.

6 and 1/2 minus 5 and 3/4

= [tex]\frac{13}{2} - \frac{23}{4}[/tex]

2. Find a common denominator

Multiply the numerator and denominator of the first fraction both by 2.

= [tex]\frac{13}{2} - \frac{23}{4}[/tex]

=[tex]\frac{26}{4} - \frac{23}{4}[/tex]

3. Subtract the fractions.

= [tex]\frac{26}{4} - \frac{23}{4}[/tex]

= [tex]\frac{3}{4}[/tex]

Know more about fractions,

https://brainly.com/question/8482939

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Pizza Guy pizza delivery time for a pizza is
approximately normally distributed with a
mean of 22 minutes and a standard deviation
of 5. Pizza Guy guarantees delivery within 30
minutes or the pizza is free. What percent of
customers will get a free pizza?
a) 3.5% b) 4.5% c) 5.0% d) 5.5% e) 6.5%

Answers

Answer:

5.5%

Step-by-step explanation:

the pizza is free 5.5 so he need to deliver the pizza on time

What are your plans for the future?Which profession would you like to pursue and why?​

Answers

i plan on attending collage, and getting my masters degree. i would like to become a nurse! i want to be a nurse to help people and be able to know i’m doing something good!!

Answer:

I plan to finish my degree first and pursue my dreams of becoming a pilot, because that thing will help me and my family aside from that it's like I'm free to do whatever I want.

0/0=? *please answer*

Answers

Answer:

0000000000000000000

Step-by-step explanation:

the equation equals any number so you could use a variable

so the answer unsimplified is infinity

what is the variable in the expression 3y+8​

Answers

Answer:

y

Step-by-step explanation:

Variables are letters or symbols in an equation that represent a value we do not know.

In this equation, there is a y. y is not a number, but a letter, meaning this is the value we do not know, or the variable.

Answer:

y

Step-by-step explanation:

It is y because 8 will be constant and 3 will be a term I think and i know for y is variable

Marcus daims that in the expression 3x + 3y, the terms 3x and 3y are like terms because both are variable terms and both have the same coefficient. Is Marcus correct? Explain​

Answers

Answer:

Step-by-step explanation:

3x and 3y are not "like terms," despite having the same coefficient.

Like terms have the same variable. For example, 3x and 2x are like terms, so

3x+2x = 5x

Ariel spent a total of $3.42 buying dried apricots from the bulk bins, which were on sale for $2.85 per pound. To the nearest tenth of a pound, how many pounds of dried apricots did Ariel buy?

Answers

Answer:

1.2

Step-by-step explanation:

Just do 3.42/2.85 and u get 1.2 pounds.

Answer:

1.2 lbs

Step-by-step explanation:

3.42 (amount spent)/2.85(amount per pound)

A triangle has an area of 54m2 and a height of 9 m. How long is the base of the triangle? Enter you answer in the box.

Answers

Answer:

6 m

Step-by-step explanation:

Base = Area/height = 54/9 = 6m

anyone know this ......

Answers

Answer:

4/1

or its 1/4

Step-by-step explanation:

it is 4/1.

it is a positive slope because it changes from the left going up to the right, therefore making any options with a fraction incorrect.

Write the equation of the line in slope-intercept form that has a slope of -5/2 and passes through the point (14,-39)

Answers

Answer:

Step-by-step explanation:

The equation of the line in point-slope form;

y+39 = (-5/2)(x-14)

Rearrange to solve for y:

y+39 = (-5/2)x + 35

y = (-5/2)x + 4

2x−y=5 If x=4, then y=

Answers

Answer:

Y = 3

Step-by-step explanation:

2(4) = 8

Subtract 8 on both sides

-y = -3

Y=3

If an 8-sided spinner is labeled with 2As, 2Bs, 2 ones, and 2 twos. What is the sample space for the probability model

Answers

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