The number of coupons x used by a customer in a grocery store is a random variable with the probability density function f(x) = 4x + 3 27 , [0, 3] Find the expected number of coupons a customer will use.

Answers

Answer 1

Applying the integral formula, it is found that the expected number of coupons a customer will use is of 1.83.

The probability density function is given by:

[tex]f(x) = \frac{4x + 3}{27}, [0,3][/tex]

The integral formula for the expected value is:

[tex]E(x) = \int_0^3 xf(x) dx[/tex]

Hence, applying the formula for f(x) given in this problem, the expected number of coupons a customer will use is:

[tex]E(x) = \int_0^3 \frac{4x^2}{27} + \frac{x}{9} dx[/tex]

[tex]E(x) = \frac{4x^3}{81} + \frac{x^2}{18}|_{x = 0}^{x = 3}[/tex]

[tex]E(x) = 1.83[/tex]

The expected number of coupons a customer will use is of 1.83.

A similar problem, which also involves the calculation of the expected value via integral, is given at https://brainly.com/question/14263236


Related Questions

An airplane starts to descend from an altitude over 30,000 feet at what rate is the airplane descending?

Answers

Answer:

20,000 feet

Step-by-step explanation:

Based on the initial altitude and the rate that the plane is descending, the relevant equation is = 30,000 - 2,000x. The altitude after 5 minutes is 20,000 feet above sea level.

The plane begins at 30,000 feet above ground and is descending at 2,000 feet per minute. The relevant equation after x minutes is:

= Initial altitude - (Descent in feet per minute x Number of minutes)

Plugging in the values gives:

= 30,000 - (2,000 × x)

= 30,000 - 2,000x

creds to Parrain

To prove that ΔDEF ≅ ΔDGF by SSS, what additional information is needed?

1. ∠DEF ≅ ∠DGF
2. ∠DFE ≅ ∠DFG
3. DE ≅ DG
4. DG ≅ GF

Answers

The additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG

Recall:

If two triangles have three pairs of congruent sides, the two triangles can be proven to be congruent triangles based on the SSS Congruence Theorem.

In the figure given, ΔDEF and ΔDGF is shown to have the following two pairs of congruent sides:

EF ≅ GF

DF ≅ DF (both triangles share a common side)

We need an additional information that shows that the third sides of both triangles (DE and DG) are congruent to each other.

Therefore, the additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG

Learn more about SSS Congruence Theorem on:

https://brainly.com/question/4280133

Answer:

C. DE ≅ DG

Step-by-step explanation:

Have a good day!

PLEASE HELP! Economics

Answers

Answer:

Are Included in calculating the parity of purchasing power .

Hope helps

Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.
x + y = 7
x - y = 5
Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
A. The solution is x= 6 and y = 1. (Type integers or simplified fractions.)


** i know that x=6 and Y=1. I don’t know how to graph it. It gives me a hint that the lines need to be in slope intercept form but again, I dont know how to graph! **

Answers

So the easiest way would be to change them into slope intercept form

x + y = 7

y = - x + 7

x - y = 5

y = x - 5

The coefficient of x is the slope, since none of them have a coefficient, their slopes are 1. The first line has negative x which means the slope is negative one, which you can draw from top left to bottom right and a positive slope is drawn from top right to bottom left.

The number after x is the y-intercept which is where the line intercepts the y-axis.

To draw, put a dot on the y-intercept and with a slope of one, go up and right one, or the opposite which is go down one and left one and put another dot and draw a line between the two dots. With a slope of negative one, go up one and go left one, or the opposite which is go down one and right one and draw a line between the two dots.

Find the equation for g

Answers

Answer:

Ti lah 13435364646166161611646646767676797979494

Xavier is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let C represent the total cost of using a computer for t minutes at the internet cafe. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.

C = ???
The slope of the function is ? which represents:
A: The total charge of using a computer
B: The number of minutes the computer was used
C: The additional charge per minute
D: The initial charge to use a computer

Answers

Answer:

  C = 1/5t +6

  slope: 1/5, (C) The additional charge per minute

Step-by-step explanation:

Before we can write the function, we need to know the slope of the line. Marked points are separated by 5 units horizontally (run=5) and 1 unit vertically (rise=1). The slope is ...

  m = rise/run = 1/5

The initial charge is the C-intercept: 6. The function can be written in slope-intercept form as ...

  C = 1/5t +6

__

As we saw above, the slope of the function is 1/5, which represents ...

  the additional charge per minute

When you need to convert from one system of measurement to another, you should convert to the a) system that will have the highest number. b) system that will have the smallest number. c) system used on the medication label. d) metric system.

Answers

When you need to convert from one system of measurement to another, you should convert to the metric system

PLEASE HELP ITS DUE NOW!!!!!!
WILL MARK BRAINLIEST!!!!!

Answers

Answer:

answer is in the image

Step-by-step explanation:

hope you have a great day i hope its the answer

how to find 75% of 156

Answers

Divide the percent by 100 to get a decimal number:

75% / 109 = 0.75

Now multiply:

156 x 0.75 = 117

75 % 0f 156 = 117

Mary mixes 11/12oz of red paint with 1 3/4oz of white paint.



How many ounces of paint does Mary mix?

Answers

Answer:

2 8/12 or simplified it is 2 2/3.

Hi gm i need help pls
50 pts

Answers

Answer:

y = 3x

Step-by-step explanation:

Rise over Run

3 over 1

or 3

Hope this helps!

Find the domain of the rational expression:
6x2 - 13x - 5/
x+7

Answers

Answer:

Domain (value of x) is any real value except x=13orx=−25

Explanation:

Domain is the value of x in the function. Here the denomintor must not be zero. 6x2+13x−5≠0or6x2+15x−2x−5≠0or3x(2x+5)−1(2x+5)≠0or(3x−1)(2x+5)≠0orx≠13andx≠−52∴Domain (value of x) is any real value except x=13orx=−25 [Ans]

mark me brainliest plss

Domain (value of x) is any real value except x=13 or x=−25

The domain is the value of x in the function.

Here the denominator must not be zero.

What is the domain?

The domain of a function is the set of inputs accepted by the function.

6x^2+13x−5≠0

or 6x^2+15x−2x−5≠0

or   3x(2x+5)−1(2x+5)≠0

or  (3x−1)(2x+5)≠0

or   x≠13  and   x≠−52

Domain (value of x) is any real value except x=13 or x=−25.

To learn more about the domain visit:

https://brainly.com/question/26098895

#SPJ2

HELP PLS ASAP I WILL AWARD BRAINLIEST!!!

Answers

Answer:

32

Step-by-step explanation:

the cofactor of 24 is then subtracted by the diameter of pi and then sent to the power of 2 after that divide by 2 and multiply by 6

Frederick works in a grocery store and also mows lawns . He earns $ 10 per hour at the grocery store and $ 8.50 per hour mowing lawns . He worked a total of 35 hours last week , of which he spent x hours mowing lawns . Which is the simplified equation that represents the relationship between his earnings , y , in dollars and the number hours he spent working last week?

Answers

Answer:

just multiply 35 by x and then 10 by however many lawns he mowed (if that makes sense)

Step-by-step explanation:

Which of the following is a solution of y - x < -3?

(6, 2)
(2, 6)
(2, -1)

Answers

Answer:

2,-1

Step-by-step explanation:

· Check Your Understandin
What is the absolute value of -10?
What is the absolute value of -10?

Answers

Answer:

10

Step-by-step explanation:

the absolute value of a number is the distance from 0

the answer will ALWAYS be positive ;)

There are 6 roses in a vase of flowers. The rest are daisies. (a) What is the ratio of all flowers 15 in the vase to daisies? (b) What is the ratio of roses to daisies?

Answers

Answer:

(a) No. of daisies=15-6

                      =9

Flowers:Daisies

         15:9

(b) Roses:Daisies

             6:9

             2:3

#roses_are_rosie:))

Answer:

a) 15 : 9

b) 2 : 3

Step-by-step explanation:

Total flowers: 15

Roses: 6

Daisies: 15 - 6

= 9

a) Ratio of all flowers to daisies:

> 15 : 9

b) Ratio of roses to daisies:

> 6 : 9

> 2 : 3 (simplified)

Pls answer questions 1-4 on this pic
(must include the math work)
i will give brainlist for the most helpful answer

Answers

#1

Breadth=

[tex]\\ \sf\longmapsto 1\dfrac{3}{4}in=\dfrac{7}{4}in=7(2)ft=14ft[/tex]

Length=

[tex]\\ \sf\longmapsto 1in=8ft[/tex]

#2.

Length=

[tex]\\ \sf\longmapsto 2\dfrac{1}{4}in=\dfrac{9}{4}in=9(2)=18ft[/tex]

Breadth=

[tex]\\ \sf\longmapsto 2in=16ft[/tex]

#3

Length(Left side)

[tex]\\ \sf\longmapsto 2\dfrac{1}{4}+1+2\dfrac{3}{4}=\dfrac{9}{4}+1+\dfrac{11}{4}=6in=6(4)=24ft[/tex]

Length (right side)

[tex]\\ \sf\longmapsto 1\dfrac{3}{4}+2+3\dfrac{1}{4}=6in=24ft[/tex]

Breadth

[tex]\\ \sf\longmapsto 1\dfrac{3}{4}+2\dfrac{1}{4}4in=16ft[/tex]

Done

>> Answer

___________

[tex]\:[/tex]

Answer in the picture.

n = 3:
– 3 and 4 + 2 i are zeros:
f(- 1) = 58

Answers

Answer:

de eitcukqrncjakgkciwitjfuqjrjcjwjtjfkwjtkckskrkchakrjfnrjcjdnsnfncdn

If a line has the x-intercept of (4,0) and no y-intercept, what is the Slope-intercept form equation ? Please !!

Answers

Answer:

y=mx+c

0=m(4)+c

c=4m

positive slope

choose the inequality that represents the following graph

​Help plz

Answers

Answer:

D

Step-by-step explanation:

Remember:

close circle means greater than or equal to

open circle means greater than

Therefore

x [tex]\geq[/tex] -4

help pls and ty! i will give brainliest to the correct answer

Answers

Answer: 24km

Step-by-step explanation:

given 1cm : 8km

distance between cafe and restaurant upply store= 3cm

Real distance = 3x8 =24 km

Please helpp!! best answer gets brainliest​

Answers

Answer:

the answer is B and C, because B equals .57 and C is .666 continuous

Answer:

C

Step-by-step explanation:

Turn everything into a fraction (round if needed)

4/7 = 0.571

A. 2/5 = 0.4 (0.4 < 0.57) since 0.4 is smaller than 0.57, it’s not A.

B. 0.57 (0.57 < 0.571) 0.56 is less than 0.571, so the answer could not be B.

C. 2/3 = 0.67 (0.67 > 0.57) 0.67 is greater than 0.571, meaning the answer could be C.

rewrite 4x plus 2y equals 6 in slope intercept form.

Answers

Answer:y=-2x+3

Step-by-step explanation:

watch it and tell me what u think

Answers

Theres nothing to watch loll

Subtract: 3/4y-(1/2y+1/3)

Answers

ujyumruyrunhngyun76m7

Record the prime factorization of 720 using exponents

Answers

Answer:

20

Step-by-step explanation:Because thats the last two digets

The prime factorization of 720 using exponents is 2⁴×3²×5.

The given number is 720.

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.

The factors of 720 are

720 = 2×2×2×2×3×3×5

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

Now, 2×2×2×2×3×3×5 = 2⁴×3²×5

Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.

Learn more about the prime factorisation here:

https://brainly.com/question/27194245.

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A right circular cylinder has a surface area of 66π. If the height of the cylinder is 8, find the diameter of the base.

Answers

Answer:

6

Step-by-step explanation:

h = 8

Surface area = 66π

2πr(r +h) = 66π

2πr(r + 8) = 66π

[tex]r(r + 8) =\dfrac{66\pi }{2\pi }[/tex]

r² + 8r = 33

r² + 8r - 33 = 0

r² + 11r - 3r - 33 = 0

r(r + 11) - 3(r + 11) = 0

(r +11 ) (r - 3) = 0

r - 3 = 0             {Ignore r = -11 as radius will not have negative value}

r = 3

Diameter = 3*2 = 6 units

i'll mark brainliest thanks in advance ·​

Answers

Answer:

a.8

Step-by-step explanation:

−4[−2(7−10)−15]2(−1)

Answers

Answer:

-72

Step-by-step explanation:

You first solve what's inside the parenthesis.

(7-10) = -3

(-2(-3)-15)= -9

-4(-9)(2)(-1)= -72

Therefore, the answer is -72.

Hope it helped!

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