A company receives shipments from two factories. Depending on the size of the order, a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. The company has two different suppliers. Factory Q is 60 miles from the company. Factory R is 180 miles from the company. An experiment consists of monitoring a shipment and observing B, the number of boxes, and M, the number of miles the shipment travels. The following probabity model describes the experiment:

Factory Q Factory R
small order 0.3 0.2
medium order 0.1 0.2
large order 0.1 0.1

a. Find PB M(b, m), the joint PMF of the number of boxes and the distance.
b. What is E[B], the expected number of boxes?
c. Are B and M independent?

Answers

Answer 1

Answer:

A) PB M(b, m), we have;

b = 1

b = 2

b = 3

B) E(B) = 1.7

C) No they are not independent

Step-by-step explanation:

A) We are told that a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. Thus;

For PB M(b, m), we have;

b = 1

b = 2

b = 3

B) Factory Q is 60 miles from the company. Thus, under factory Q in the table, m = 60

Factory R is 180 miles from the company. Thus under factory R in the table, m = 180

Now;

P_B (b) for b = 1 which is small order is;

P_B (b) = 0.3 + 0.2 = 0.5

P_B (b) for b = 2 which is medium order is;

P_B (b) = 0.1 + 0.2 = 0.3

P_B (b) for b = 3 which is large order is;

P_B (b) = 0.1 + 0.1 = 0.2

Thus;

E(B) = Σb•P_B (b) = (1 × 0.5) + (2 × 0.3) + (3 × 0.2)

E(B) = 0.5 + 0.6 + 0.6

E(B) = 1.7

C) No, they are not independent. This is because from the table we are given, P_B,M at b = 1 and m = 60 is given as 0.3.

Whereas, for B and M to be independent, P_B,M at b = 1 and m = 60 has to be equal to (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1.

Instead what we have is P_M(m) under m = 0.3 as; 0.3 + 0.1 + 0.1 = 0.5. Which means (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1 gives;

0.5 × 0.5 = 0.25 which is not equal to P_B,M = 0.3 at b = 1 and m = 60


Related Questions

Two apples and six plums provide 300 calories. Three apples and five plums provide
350 calories. How many calories are provided by five apples and eight plum?

Answers

Answer:

4,596

Step-by-step explanation:

what is the answer of
reciprocal of 1/7

Answers

7/1, I think that’s right

Answer:

7/1

Step-by-step explanation:

A reciprocal means you flip the numerator and the denominator (the top number and the bottom number) so In this case the reciprocal for 1/7 s 7/1.

Hope I could help!

A cell phone plan charges $19.90 a month, plus $0.05 per text message

Create & solve an inequality that represents the number of texts, t, that can be

sent while still keeping the monthly bill under $25?

Answers

Answer:

[tex]19.9+0.05t<25[/tex]

Less than 102 text messages.

Step-by-step explanation:

Monthly charge of cell phone = $19.90

Cost of one text message = $0.05

Let number of text messages be [tex]t[/tex]

The monthly bill should be less than $25. So,

[tex]19.9+0.05t<25[/tex]

The required inequality is [tex]19.9+0.05t<25[/tex]

[tex]19.9+0.05t<25\\\Rightarrow 0.05t<25-19.9\\\Rightarrow t<\dfrac{5.1}{0.05}\\\Rightarrow t<102[/tex]

So, the number of text messages that can be sent while keeping the bill under $25 is less than 102.

how many roots does y= x^5- 4x^2+ 3x

A.3
B.4
C.5
D.6

(x^2 is the power to)

Answers

Answer: 4

Step-by-step explanation:

We can write the equation as

[tex]x(x-1)^{2}(x^{2}+2x+3)=0\\\\x=0, 1, -1 \pm i\sqrt{2}[/tex]

Therefore, there are 4 distinct roots.

Write each percentage as a fraction in simplest form.
1. 50% 2. 99% 3. 15%
4. 200%

Answers

Answer:

1. 1/2

2. 99/100

3. 3/20

4. 2


Your boss has given you two options for salary increase. Your current salary is $45,000 per year.
Option 1: A raise of $2000 per year (linear growth).
Option 2: A yearly 4% raise (exponential growth).
a) Write an explicit equation for both options.
b) Fill in the table below,

Answers

Answer:

Step-by-step explanation:

There is no table but I will do the equations

Option 1

45000+2000t

let "t" represent the number of years

Option 2

45000*1.04t

let "t" represent the number of years

Negative nine times a
number equals -117.

Answers

-9 times 13 = -117 !!!!

find the distance between the two points

(1, 2), (-3, 5)​

Answers

Answer:

13

Step-by-step explanation:

if you  cannot find the awnser next time try mathaway it gives you the awnser and tells you an explanation.

Can someone help me? I’ll reward points + brainalist

Answers

Step-by-step explanation:

the question of your answer is d

Answer:

Step-by-step explanation:

A child gets 1 egg on their
1st birthday. They get 2 on
their 2nd, 3 on their 3rd etc.
How many years will it be
before they have received 91
eggs in total?​

Answers

Answer:91 years

Step-by-step explanation:


In the diagram below, O is circumscribed about quadrilateral ABCD. What is
the value of ?


Answers

Answer:

21

Step-by-step explanation:

Trust

The value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.

What is quadrilateral?

It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides.

We have:

In the diagram below, O is circumscribed about quadrilateral ABCD.

In a quadrilateral, the sum of the opposite angles is equal to 180 degree

5x + 75 = 180

5x = 105

x = 21

Thus, the value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ2

Subtract the polynomials:
(1 Point)
f(x) = 10x4 + 2x² +1; 8 (x) = 3x4 + 3x + 11
O f (x) – 8(x) = 7x4 + 2x2 – 3x – 10
O f(x) – 8 (x) = 7x4 + 2x2 – 3x + 12
O f (x) – 8(x) = 7x4 + 2x2 + 3x + 12
O f(x) – 8(x) = 7x4 + 2x2 + 3x - 10

Answers

Answer: thats the answer

Step-by-step explanation:

Convert 5.5 feet to inches. There are 12 inches in 1 feet.

Answers

Answer:

GIVE BRAINLIEST PLZ

Answer:66

Step-by-step explanation:

5.5* 12=66

There you go

Make a triangle with 36 unit area and 9 unit base

Answers

I cannot necessarily "make" a triangle, but I do know that the dimensions or measurements of the triangle would be:

area = 36 units

base = 9 units

height = 8 units

PLEASE HELP I WILL MARK BRAINLIST!!

Answers

14: [tex]\frac{1}{2} = \frac{8}{1}[/tex]    [tex]\frac{x}{y} = \frac{56}{1}[/tex]

56/8 = 7 so multiply 1/2 by 7/1 to get the unidentified fraction "x/y"

1/2 · 7/1 = 7/2 or 3 1/2

15.  [tex]\frac{2}{5} = \frac{x}{100}[/tex]

to get from 100 to 5, you would divide by 20, so to solve for x, multiply 2 by 20, to get a product of 40.

40/100 = 40% or D

16. [tex]\frac{3}{5} = \frac{12}{x}[/tex]

A

What is the area of this face? 12ft 6ft 6ft 6ft

Answers

Answer:

I don't know. I think I need the picture that is associated with it.

Step-by-step explanation:

If you are looking for an i-Ready answer, It is 180 ft squared

a patients dose of medication increased from 100mg to 150mg. What is the percent increase in medication?

Answers

Answer:

The answer is 50% increase. Hope this helped!

Step-by-step explanation:

50% is the correct answer to this problem hope it helps


What does "Uninsured Motorist Bodily Injury" typically cover

Answers

Answer:

Uninsured motorist bodily injury, or UMBI, pays for medical bills, pain and suffering, lost wages if you can't work after an accident and funeral expenses after a crash with an at-fault driver who doesn't have car insurance. It may also cover you if you're hit as a pedestrian or while riding your bike.

Step-by-step explanation:

how do I solve "k−26.5=99.1"

Answers

Answer: =125.6

Step-by-step explanation:

Add 26.5 to both sides of the equation

Simplify

3 pound of apples for $4.59.

Answers

Answer:

each apple would be $1.53

Answer:

$1.53 per pound of apple

Step-by-step explanation:

I'm assuming the question is what is the cost of 1 pound

Set up a equation:

3pounds/$4.59 = 1pound/x

Variable x = cost for one pound

3/4.59 = 1/x

Cross mulitply

3 × x = 4.59 × 1

3x = 4.59

Divide both sides by 3

3x ÷ 3 = 4.59 ÷ 3

x = 1.53

what is -1/8 - 6 7/8​

Answers

Answer:

-7

Step-by-step explanation:

I am sorry if I got it wrong.

they are right it is -7

HELP PLSSSS I BEG UUUU PLSSS

Answers

Answer: Thursday

Step-by-step explanation:

I hope this helps

Answer: Thursday

Step-by-step explanation:

It's Thursday because any number below 0 is a negative number but, as Thursday is 3° above 0, it is positive.

Hope this helps :)

Select the correct answer. The hiking club is getting new T-shirts and will vote to choose the design. Marianna and Chloe are each designing a T-shirt using a computer program. Marianna’s design features an image of the mountains, with the peaks and valleys modeled by function m, where x is the horizontal distance, in inches, from the left edge of the design. Chloe’s design also features an image of the mountains, with the peaks and valleys modeled by function c, where x is the horizontal distance, in inches, from the left edge of the design. Which T-shirt design has the lowest valley floor over the first 6 inches of the design? Both designs have valley floors at the same height over the first 6 inches of the design. Marianna’s design doesn’t have a valley floor over the first 6 inches of the design. Chloe’s design has the lowest valley floor over the first 6 inches of the design. Marianna’s design has the lowest valley floor over the first 6 inches of the design.

Answers

Answer:

Step-by-step explanation:

What are the choices

Answer:

mariannas design has the lowest valley floor over the first 6 inches of the design

Step-by-step explanation:

correct.

PLEASE HELP ME KSDAKJDSAJDJKS

Answers

Answer: x = 16

Step-by-step explanation:

60x - 60 = 900

60x = 960

60x / 60 = 960 / 60

x = 16

Lila collected the honey from 3 of her beehives. From the first hive she collected 2/3 gallon of honey. The last two hives yielded 1/4 gallon each.



How many GALLONS of honey did Lila collect in all?

Answers

Answer: 1 1/6

Step-by-step explanation: i dont know if this is right, but hope it helps

Answer:

1 1/6

Step-by-step explanation:

Given function:

find the three beehives honey Lila total collected2/3,1/4,1/4

Combine the terms:

[tex]\frac{2}{3}+\frac{1}{4}+\frac{1}{4}=\frac{2}{3}+\frac{2}{4}[/tex]                    

Simplfly the fraction terms:

[tex]\frac{2}{3}[/tex]·[tex]4=\frac{8}{12}[/tex] [tex]\frac{2}{4}[/tex]·[tex]3=\frac{6}{12}[/tex]

Combine the terms:

[tex]\frac{8}{12}+\frac{6}{12}=\frac{14}{12}[/tex]

Simplifly the final value:

[tex]\frac{14}{12}=1\frac{2}{12}[/tex] [tex]1\frac{2}{12}=1\frac{1}{6}[/tex]

Therefore, the three beehives gives a total of 1 1/6 honey..

A movie theater has been charging $10.00 per person and selling about 500 tickets on a typical weeknight. After surveying their customers, the theater management estimates that for every 50 cents that they lower the price, the number of moviegoers will increase by 50 per night. Find the demand function. (Let x represent the number of tickets sold and p represent the price.)

Answers

Answer:

[tex]p(x) = -0.01x + 15[/tex]

Step-by-step explanation:

Given

Let x represent the number of tickets, and p the charges

[tex](x_1,p_1) = (500,10)[/tex]

A reduction of 50c gives an increment of 50 tickets.

This gives:

[tex](x_2,p_2) = (500+50,10-0,5)[/tex] ---- [tex]50c = \$0.5[/tex]

[tex](x_2,p_2) = (550,9.5)[/tex]

Required

Determine the demand function

First, calculate the slope:

[tex]m = \frac{p_2 - p_1}{x_2 - x_1}[/tex]

[tex]m = \frac{9.5 - 10}{550-500}[/tex]

[tex]m = \frac{-0.5}{50}[/tex]

[tex]m = -0.01[/tex]

So, the equation is:

[tex]p = m(x - x_1) + y_1[/tex]

[tex]p = -0.01(x - 500) +10[/tex]

[tex]p = -0.01x + 5 +10[/tex]

[tex]p = -0.01x + 15[/tex]

Hence, the function is:

[tex]p(x) = -0.01x + 15[/tex]

Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept 2 .

Answers

Answer:

Y= -3/2x + 2

If the y-intercept was negative it would be y= -3/2-2

Real answer not a scam

Answers

Answer:

Area = 240 cm²

Step-by-step explanation:

Area of the shape = area of rectangle + area of triangle

= L*W + ½*bh

L = 18 m

W = 10 m

b = 10 m

h = 30 - 18 = 12 m

Plug in the values

Area of the shape = 18*10 + ½*10*12

= 180 + 60

= 240 cm²

Dionne can fold 175 packing boxes in 50 minutes.
Elias can fold 120 packing boxes in 40 minutes.

Use unit rates to find how much time it will take each person to fold 210 packing boxes.
Drag the numbers to explain and show your answer. Numbers may be used once or not at all.
370803.54.550604
Dionne can fold
boxes in 1 minute and Elias can fold
boxes in 1 minute.
Dionne will fold 210 boxes in
minutes and Elias will fold 210 boxes in
minutes.

Answers

REFER THE ATTACHMENT ABOVE ☝☝☝☝

Answer:

[tex] \frac{176}{50m} = \frac{3.5}{1} [/tex]

RESULT

Use ratio and proportion.

Let x be the time it takes Dionne to fold 210 packing boxes:

[tex] \frac{175}{50} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 175x = 50(210) \\ \\ x = \frac{50(210)}{175} \\ \\ x = \frac{50(210)}{175} \\ \\ x = 60[/tex]

So, it will take Dionne 60 minutes to fold 210 packing boxes.

Let y be the time it takes Elias to fold 210 packing boxes:

[tex] \frac{120}{40} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 120x = 40(210) \\ \\ x = \frac{40(210)}{120} \\ \\ \\ x = 70[/tex]

So, it will take Elias 70 minutes to fold 210 packing boxes.

!!!!please helppppppp

Answers

9514 1404 393

Answer:

  13/18

Step-by-step explanation:

5 of the 18 students have a cat, so 13 of them do not.

The probability that a student in the group does not have a cat is 13/18.

Other Questions
Most of the Australian people live in which part of Australia?The rainforestThe outbackThe southeastern coastThe west coast Plz help iff correct ill give Brainlyest HELPPP MEEE ASAP PLEASE HELP Which of the following statements about physiological age and chronological age is TRUE?A.Physiological age and chronological age are always the same.B.Physiological age can be lower than, the same as, or higher than chronological age.C.Physiological age can be lower than chronological age, but never higher.D.Physiological age cannot be altered, but chronological age can change based on lifestyle choices.Please select the best answer from the choices provided.ABCDWILL MAKE BRAINLIEST FOR BEST ANSWER DONT ANSWER FOR POINTS GIVE GOOD ANSWER PLS waterairmultiple cellsa place to live Can someone solve this please 3. An ELA test is worth 100 points. There are a total of 26 questions. They are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question are there? * Propose a series of equations to represent the equilibria described in the prelab discussion involving the transport of oxygen from the lungs to the cells and the carbon dioxide back to the lungs. Use Hb for deoxyhemoglobin, HbOx for the oxyhemoglobin, and HbCO2 for the carbon dioxide- hemoglobin structure. Using a punnett square, what is the probability of a pure bred hamster with light fur, and a pure bred hamster with dark fur, of having offspring with light fur Someone help please When the body is attacked by a foreign substance, the _____ defenses are the first to react. Given sin^2 x = (1 - cos(2x))/2 Prove: sin(x/2) = plus/minus sqrt((1 - cos(x))/2) Prove Complete the steps of the proof Which summaries should be written in chronological order?A. Scientific and short storyB. Only historicalC. Short story and historicalO D. Historical and scientificHelpp me please Claim: The school should only purchase and drive electric vehicles to help the United States decrease its dependence on foreign oil Which statement is an example of a major counterclaim to address in an argumentative research essay with this claim? Simplify -3(y+4)+4yPlease ANSWER FAST!!!!! a car travels 45 miles and uses 3 gallons of gas. what is the unit rate for miles per gallon. HELP Can someone help me with this. Will Mark brainliest. Dr. Sheffield is a clinical psychologist who specializes in treating pathological gambling. Pathological gambling is defined as being unable to resist impulses to gamble. Bothered by not having a good measure that he can give to clients to determine whether they are suffering from this condition, he creates a new measure of pathological gambling. The measure has 15 questions, and it takes 20 minutes to complete. To test his measure, Dr. Sheffield gives his measure to a group of people in Gamblers Anonymous (GA) and another group of people in Alcoholics Anonymous (AA). He finds that people in the GA group have higher scores on his new measure than people in the AA group. This procedure is known as a prediction paradigm. test-retest paradigm. group evaluation paradigm. known-groups paradigm. what is the pH when h+=0.045 M? The following information was taken from the segmented income statement of Restin, Inc., and the company's three divisions: Restin, Inc. Los Angeles Division Bay Area Division Central Valley Division Revenues $ 750,000 $ 200,000 $ 235,000 $ 325,000 Variable operating expenses 410,000 110,000 120,000 180,000 Controllable fixed expenses 210,000 65,000 75,000 70,000 Noncontrollable fixed expenses 60,000 15,000 20,000 25,000 In addition, the company incurred common fixed costs of $18,000. Assume that the Los Angeles division increases its promotion expense, a controllable fixed cost, by $10,000. As a result, revenues increased by $50,000. If variable expenses are tied directly to revenues, the new Los Angeles segment profit margin is: