Let T denote the time in minutes for a customer service representative to respond to 10 telephone inquiries. T is uniformly distributed on the interval with endpoints 8 minutes and 12 minutes. Let R denote the average rate, in customers per minute, at which the representative responds to inquiries. What is the density function for the random variable R on the interval 10/12 <= r <= 10/8

Answers

Answer 1

Answer:

The answer is "[tex]f_{R} (r) =\frac{5}{2r^2}; \frac{10}{12} \leq r \leq \frac{10}{8}[/tex]"

Step-by-step explanation:

They have the distributional likelihood function of T: [tex]f_{\Gamma } \ (t)= \frac{1}{12-8}= \frac{1}{4}; 8 \leq t \leq 12[/tex]

This is the following PDF of transformation [tex]R =\frac{10}{T}[/tex]

They know that PDF is the Y=g(X) transformation

[tex]f_{y} (y)=f_{x} (g^{-1} (y))|\frac{dg^{-1} (y)}{dy}[/tex]

Using theformula, the PDF of  [tex]R =\frac{10}{T}[/tex] is

[tex]f_{R} (\Gamma)=f_{(\Gamma)} |\frac{d(\frac{10}{r})}{dr}| \\\\f_{R}(r) =\frac{1}{4}| -\frac{20}{r^2}|\\\\f_{R} (r) =\frac{5}{2r^2}; \frac{10}{12} \leq r \leq \frac{10}{8}\\\\[/tex]  


Related Questions

The chief guest was scheduled to arrive at 10: 30 am. He came late by 1 hr 20
mins. At what time did he arrive?

Answers

Step-by-step explanation:

the chef came at 11:50 pm/am hope this helps

10:30 + 1 h 20 mins — 11:50

He arrived at 11:50.

Which data point is an outlier in this graph?
(A) (5,-3)
B) (3,5)
© (-5,3)
D (3,-5)

Answers

Answer:

idel

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

5, -3 is not near the other dots making it an outlier

what is the answer of 2+y=11​

Answers

Answer:

9

Step-by-step explanation:

11 - 2 = 9

Answer: 9

Step-by-step explanation:

Minus 2 from both sides to make it equal.

2 + y = 11-2         -2y = 9


A line passes through the point (-4,9) and has a slope of
4.
Write an equation in point-slope form for this line.

Answers

Answer:

y = 4x - 7

Step-by-step explanation:

Given the following data;

Points (x, y) = (4, 9)

Slope, m = 4

To write the equation in point-slope form;

The equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

First of all, we would find the intercept c;

9 = 4*4 + c

9 = 16 + c

c = 9 - 16

c = -7

Next, we write the equation in point-slope form;

m = 4 and c = -7

y = 4x - 7

A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis against using a random sample of specimens. Calculate the P-value if the observed statistic is . Suppose that the distribution of the sample mean is approximately normal.

Answers

Complete question :

A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis H0 : μ = 12 against H1 : μ < 12 using a random sample of n = 4 specimens. Calculate the P-value if the observed statistic is xbar = 11.5. Suppose that the distribution of the sample mean is approximately normal.

Answer:

0.02275

Step-by-step explanation:

Given :

Population mean μ = 12

Standard deviation, σ = 0.5

Sample size, n = 4

Observed statistic, xbar = 11.5

H0 : μ = 12

H1 : μ < 12

The test statistic = (xbar - μ) ÷ σ/sqrt(n)

Test statistic =. (11.5 - 12) ÷ 0.5/sqrt(4)

Test statistic = - 0.5 ÷ 0.5/2

Teat statistic = - 0.5 / 0.25 = - 2

Since, it is stated that, distribution is approximately normal ; then we can use the Z distribution and obtain our Pvalue.

We could obtain P value using the Pvalue Z distribution calculator at α = 0.05, 1 - tail

Pvalue = 0.02275

Or

P(x < - 2) = 0.02275 (Z distribution table)


In 10 minutes, Max ran 1.45 km while Avery ran 1.61 km. How much more did
Avery run?

Answers

Answer:

0.16km

Step-by-step explanation:

Unless I am missing something it is a simple subtraction problem and the time is not needed. It is simply asking how much farther Avery ran than Max, which is 1.61km - 1.45km which is 0.16km

Water is flowing from Tank #1 to Tank #2 as shown in the picture. Originally, Tank #1 had 1,540 gallons in it and Tank 2 had 236 gallons in it. Water is draining out of Tank #1 at a ate of 6 gallons per minute and, thus, filling Tank #2 up at a ate of 6 gallons per minute. ) Write an equation for each tank that models the volume of water, v in gallons, as a function of the number of minutes, m, that the water has been flowing. Tank #1: Tank #2: Find out how long it takes, to the nearest minute, for the two tanks to have Will it take longer or shorter than 2 hours? Justify.​

Answers

Answer:

Melody, think about this as below

Step-by-step explanation:

when does tank 1 = tank 2  when there is 6 gpm

tank 1 = 1540

tank2 = 236

1540-6x = 236 +6 x

1304 = 12x

108 [tex]\frac{2}{3}[/tex] = x

6*108 [tex]\frac{2}{3}[/tex] = 652 gallons

236+652=888

1504-652=888

in 108 [tex]\frac{2}{3}[/tex]  minutes the tanks become equal with 888 gallons each :)

10 points || answer ASAP if you can

Answers

Answer:

It would affect the mean, range, and standard deviation

Step-by-step explanation:

I got this right on the test :)

In circle B with the measure of minor arc AC= 84°, find m

Answers

Answer:

m<ADC = 42°

Step-by-step explanation:

Based on the inscribed angle theorem, the inscribed angle, m<ADC is ½ the measure of minor arc AC.

If minor arc is given as 84°, therefore:

m<ADC = ½(84)

m<ADC = 42°

Cami buys 4 pounds of ground beef for $22. The total cost in dollars, y, is proportional to the number of pounds purchased, x pounds ground beef y=what. ​

Answers

Answer:

88

Step-by-step explanation:

The total cost of y 4 pounds of ground beef which is bought by Cami at the rate of $22 per pound of ground beef is $88.

What is the total cost?

Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.

Cami buys 4 pounds of ground beef for $22.  The total cost in dollars, y, is proportional to the number of pounds purchased, x pounds ground beef.

In this problem, the total cost y has to be found out.​ As the price of one pound of ground beef is $22 and there is total 4 pounds of ground beef, Cami bought.

Thus, the total cost is,

[tex]y=22\times44\\y=88[/tex]

Thus, the total cost of y 4 pounds of ground beef which is bought by Cami at the rate of $22 per pound of ground beef is $88.

Learn more about the total cost here;

https://brainly.com/question/25109150

#SPJ2

2 4/10?
round to nearest whole number

Answers

Answer: 2

2.5 and up we round up

2.4 and lower we round down

Answer:

2

Step-by-step explanation:

2 4/10

4/10 is less than 0.5 so we round down to 2

Dicken's Hardware sells incandescent and CFL light bulbs. Yesterday they sold 18 incandescent bulbs and 24 CFL bulbs for total sales of $132.
Part A: Let x represent the cost of an incandescent bulb and let y represent the cost of a CFL bulb. Write an equation or inequality to represent the situation. Explain how you decided to use an equation or inequality.
Part B: A CFL bulb cost $4. Use this information and your equation or inequality from part a to find the cost of an incandescent bulb. Show your work and explain what your answer means in the context of the problem.

Answers

X = 100 so X = 100 and so yea and so yea and so yea and so yea and so yea

Write down the gradient of the line with equation y = 2x + 3

Answers

Answer:

Slope : 2

Step-by-step explanation:

y = mx + c

2x - y = -3

x/ -3/2 + y/3 = 1

Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevrolet Cruze, and Ford Focus (New York Daily News). The 2017 market shares are Honda Civic 20%, Toyota Corolla 17%, Nissan Sentra 12%, Hyundai Elantra 10%, Chevrolet Cruze 10%, and Ford Focus 8%, with other small car models comprising the remaining 23%. A sample of 400 compact car sales in Chicago showed the following number of vehicles sold.
Honda Civic 98
Toyota Corolla 72
Nissan Sentra 54
Hyundai Elantra 44
Chevrolet Cruze 42
Ford Focus 25
Others 65
Use a goodness of fit test to determine whether the sample data indicate that the market shares for cars in Chicago are different than the market shares suggested by nationwide 2017 sales. Using a 0.05 level of significance, what is the p-value?
The p-value is ___________.
What is your conclusion?
Conclude that the markets shares for the five compact cars in Chicago ______________the market shares reported.
What market share differences, if any, exist in Chicago? Round your answers to three decimal places. Enter negative values as negative numbers.
Sample
Compact Car Market Share Hypothesized Market Share Difference
Honda Civic - 0.20 =
Toyota Corolla - 0.17 =
Nissan Sentra - 0.12 =
Hyundai Elantra - 0.10 =
Chevrolet Cruze - 0.10 =
Ford Focus - 0.08 =
Others - 0.23 =

Answers

Answer:

Pvalue = 0.020335

X² = 14.99

CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES

Step-by-step explanation:

H0 : there is no difference in market shares

H1: there is difference in market shares

Chisquare (X²) = (observed - Expected)²/ expected

Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05

Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235

Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75

Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4

Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1

Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531

Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924

X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99

The obtain the Pvalue ;

We use the Pvalue from Chisquare calculator :

Pvalue(14.99, 0.05, df= 6) = 0.020335

Decision region :

Reject H0 ; if Pvalue < α

THERE IS DIFFERENCE IN MARKET SHARES

Market share differences:

* 98/400 = 0.245,

0.245-0.20 = 0.045

* 72/400 = 0.18,

0.18 - 0.17 = 0.01

* 54/400 = 0.135,

0.135 - 0.12 = 0.015

* 44/400 = 0.11,

0.11 - 0.10 = 0.01

* 42/400 = 0.105

0.105 - 0.10 = 0.005

* 25/400 = 0.0625

0.0625-0.08 = -0.0175

* 65/400 = 0.1625

0.1625 - 0.23 = -0.0675

What is the volume of this rectangular prism, given the area of the base is 14

Answers

Answer:

Wow, I'm learning this in class right now lol, the answer is C, 42cm cubed.

Step-by-step explanation:

The formula for finding volume fo 3d shapes is area of base x height/length.

In this problem, they give you both of those. 14 x 3 = 42, so the answer is C.

Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D

Rewrite the expression by factoring out (y-2).
3y?(y-2)-2(y-2)

Answers

Answer:

− y =3 y

Step-by-step explanation:

Simplify  

2

(

y

+

2

)

.

Tap for more steps...

y

=

3

y

Move all terms containing  

y

to the left side of the equation.

Tap for more steps...

4

y

=

0

Divide each term by  

4

and simplify.

Tap for more steps...

y

=

0

2 hours of tv had 40 commercials __ __commercials per hour (Ratio/Rate)

Answers

0.05 commercials were shown per hour. Hope this helps!

Which of the following is the square of a binomial

A. 36x^2 - 4y^2

B. d^2 + e^2

C. m^2 - mn + n^2

D. p^2 - 2pr + r^2

Answers

Answer:

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

The only choice that has the form a² + 2ab + b² is D.

The square of a binomial is (p – r)². Then the correct option is D.

What is square binomial?

The square binomial is a polynomial of two-term only and with power of 2. For example, (x + 5)² where x and 5 are the two separate terms.

Let's check the option D, we have

⇒ p² – 2pr + r²

We know that the formula a² – 2ab + b² = (a – b)², then we have

⇒ p² – 2pr + r²

⇒ (p – r)²

Then the correct option is D.

More about the square binomial link is given below.

https://brainly.com/question/12249986

#SPJ2

Rewrite the value y=|x-5|+|x+5| if x<-5

Answers

Answer:

y=-2x

Step-by-step explanation:

That's the answer

Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
(a) Work out the total cost, in pounds, of the flights, the apartment and the car hire.
(b) If there had been more than 1.12 euros to £1, how would this affect your answer
to part (a)?
(2 part question; enter answers for (a) and (b) in the answer box below) *
(5 Points)

Answers

Answers:

a. £2,090
b. My answer would be less because my total in euros would be divided by a greater number when converting euros to pounds.

Work for part a:

Apartment: 560•3= 1680 euros

Car: 20.16•15= 302.4 euros

1680+302.4=1982.4

1982.4/1.12 = £x/1

1982.4 / 1.12= £1,770

£1,770 + £320 = £2,090 total

Work for part b:
Example:
(instead of 1.12 I put 2 to see what would happen with a greater number)
1982.4 / 2 = 991.2

991.2 is less than 1,770 (the answer I got with 1.12)

Let me know if you need any clarification! :)


The table shows the linear relationship between the
number of ride tickets purchased and the total cost
for admission plus ride tickets at a carnival.
Which function can be used to find y, the total cost of
attending the carnival and purchasing x ride tickets?
Carnival Costs
A y = 25x + 8
Number of Ride
Tickets Purchased, x
Total Cost for
Admission plus Ride
Tickets, y
By = 8x + 25
o
$8
y = 8x +0.25
8
$10
16
$12
Dy = 0.25x + 8
24
$14
18-34
3
3

Answers

Answer:

C

Step-by-step explanation:

Y=8x + 0.25

♡ The Question/Task ♡    

-Which function can be used to find y, the total cost of  attending the carnival and purchasing x ride tickets?  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*    

♡ The Answer ♡    

-I believe the answer should be, y = 0.25x + 8!  

I apologize in advance if this is incorrect! ♡  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*    

♡ The Explanation/Step-By-Step ♡    

-No Explanation/Step-By-Step Provided!    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*    

♡ Tips ♡    

-No Tips Provided!


Nancy made ice cream cones out of thin cookie dough. The cone has a radius of 2 inches and a height of 4 inches.
what is the volume of the cone in cubic inches

Answers

Answer:

16.755160819146 in3

Step-by-step explanation:

I did not know how much I have to round up to.. sorry about that

Answer: 50 inches

Step-by-step explanation: Using the formula for volume of a cylinder, you would substitute the height and radius in the formula and solve for volume. After multiplying with pie you get 50.2654 and when rounding to inches you’d get 50 cubic inches.

srry if this is incorrect

What will a $160,000 house cost 8 years from now if the price appreciation for homes over that period averages 7​% compounded​ annually?

Answers

Answer:

FV= $274,909.8

Step-by-step explanation:

Giving the following information:

Present value (PV)= $160,000

Interest rate (i)= 7%

Number of periods (n)= 8 years

To calculate the future value (FV) of the home, we need to use the following formula:

FV= PV*(1+i)^n

FV= 160,000*1.07^8)

FV= $274,909.8

Which expression has the same value as 12^2

Answers

6^4. I don’t know if this is multiple choice or not but 6 x 4 is equivalent to 12 x 2. They both have the sam product of 24

HELP WILL GIVE BRANLIEST AND EXTRA POINTS!

Answers

Answer:

The answer is D

Step-by-step explanation:

You just use this equation to find it

A=2(wl+hl+hw)

if 2 angles of a triangle have measures of 58 and 101 degrees what is the measure of the 3rd

Answers

Answer:

21 degrees

Step-by-step explanation:

the sum of the three angles in a triangle equal 180. take the known angles (58 and 101) and subtract them from 180. 180-129=21

Although television HDTV converters are tested before they are placed in the installer's truck, the installer knows that 20 percent of them still won't work properly. The driver must install eight converters today in an apartment building.

(a) Ten converters are placed in the truck. What is the probability that the driver will have enough working converters?

Answers

Answer:

80%

Step-by-step explanation:

Is negative 5 less than |5|

Answers

Yes, as the absolute value is always positive so a negative will definitely be less.

Answer:

Yes

Step-by-step explanation:

Is negative 5 less than |5|?

-5 < |5|

Or -5 < 5

Factor the following: 28 W + 12J
7 (9W + 3J)
4 (7W + 3)
2 (12W + 5)
I need these too NOW LOL

Answers

Step-by-step explanation:

https://youtu.be/e7WGZHTZm0I

Answer:

Answervis 4(7W+3)

Step-by-step explanation:

I hope it's helpful!

Fill in the blank:


Suppose W is a subspace of ℝ5, and suppose that e1,e3∈W, but e2,e4,e5∉W.


What is the strongest statement we can make about the dimension of W:


The dimension of W is at least ____ and at most ____.


(I tried, the answer is not 1 and 2)

Answers

you play free fire

Step-by-step explanation:

yes/no

Other Questions
Gareth is the owner of a popular car wash facility. He has a small cafe set up beside the facility where customers can have a quick snack while waiting for their vehicles. Also, he ensures that each and every customer gets the best service in town. Customers do not mind paying extra because of these reasons. In fact, Gareth noticed that in the last 6 months, he has received several new customers who were previously engaged with his competitors. In the context of the components of resource-based analysis, Gareth's product or service is _____. (I will mark you brainliest if you are to answer first!) What countries use solar energy? help me nowwww show work thank you I NEED THIS DONE TODAY WHOEVER GETS THIS CORRECTS GETS BRAINLIEST!!!! PLZZZ HELPP MEEE 5 (x+9) = 3 (x +8) + 2x PLEASE HELP ME ASAP IT IS DUE IN 3 MINUTES :(((((((((( On what date did the St. John revolt take place and where? Expand (Explain your work) (3p - 2)^2 The Oort Cloud is about 70 000 times as far as from Earth as Earth is from the Sun. How far away is the Oort Cloud? Read the excerpt from The Odyssey.Now Zeus the lord of cloud roused in the northa storm against the ships, and driving veilsof squall moved down like night on land and sea.The bows went plunging at the gust; sailscracked and lashed out strips in the big wind.We saw death in that fury, dropped the yards,unshipped the oars, and pulled for the nearest lee:then two long days and nights we lay offshoreworn out and sick at heart, tasting our grief,until a third Dawn came with ringlets shining.Then we put up our masts, hauled sail, and rested,letting the steersman and the breeze take over.Which elements of epic poetry are shown in this excerpt? CHECK ALL THAT APPLY!supernatural elementsan invocation of a musea difficult journey with trialsrhyme and repetition of wordsimportant historical eventsa hero showing perseverance What is a simple definition of the noun "complex" in Biology? Last Saturday, Niki went on a bike ride from her house to the park. The total distance she travelled on her bike was 3 1/5 miles. What is this number of miles written as an improper fraction?Select one:A. 31/5B. 3 5/1C. 16/3D. 16/5 PLEASE HURYY ITS TIMED What was one of the major economic challenges facing the nation following World War II?a) finding a way to end the Great Depressionb) finding jobs for thousands of returning soldiersc) working out peace terms with the other Alliesd) working out restrictions to halt consumer spending Please help! Passes through (-6, -1) and parallel to. x - y = 4 what is the equation of the line? Hello!I am here with a handful of geometry questions today. Please answer the question based off the image(s) below. If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding. Anyways, please show all of your work and explain your thinking! Thanks! Help me please please ASAP A pyramid has a base that is a right triangle with legs measuring 10 cm and 14 cm. The height of the pyramid is 9 cm.The volume of the pyramid is ___ cubic cm. 50 points! Explain the feelings a runaway might feel when crossing over into free territory in three-four sentences: -3(3 - 10x)Please Solve 13 5/6 less than the product of 2 and a number b