A utility company might offer electrical rates based on time-of-day consumption to decrease the peak demand in a day. Enough customers need to accept the plan for it to be successful. Suppose that among 50 major customers, 15 would accept the plan. The utility selects 10 major customers randomly (without replacement) to contact and promote the plan. a. What is the probability that exactly two of the selected major customers accept the plan

Answers

Answer 1

Answer:

0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan

Step-by-step explanation:

The customers are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

50 major customers, 15 would accept the plan.

This means that [tex]N = 50, k = 15[/tex]

The utility selects 10 major customers randomly (without replacement) to contact and promote the plan.

This means that [tex]n = 10[/tex]

a. What is the probability that exactly two of the selected major customers accept the plan

This is P(X = 2).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,50,10,15) = \frac{C_{15,2}*C_{35,8}}{C_{50,10}} = 0.2406[/tex]

0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan


Related Questions

i agree with the person who was first

Answers

Answer:

me tooooo!

Step-by-step explanation:

You multiply a number by (–3) and the product is negative. List four possible numbers you could have multiplied by –3 and four you could not have multiplied.

Answers

Answer:

-3(43)= -129

−3(3) = −9

−3(2) = −6

−3(1) = −3

−3(0) = 0

−3(−1) = 3

−3(−2) = 6

 -3(-3)= 9

Step-by-step explanation:

As the factor decreases by 1, the product increases by 3. So −3(−1) = 3, −3(−2) = 6.

 

Multiplying −3 by a negative integer gives a positive number. 

The product of a positive number and a negative number is negative.

help me please. Can somebody please help me.

Answers

Answer:

oh my :o

Ok so just mutiply

Step-by-step explanation:


The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? What is the length of the
hypotenuse?

Answers

The length of the short leg will be 10.4. And the length of the hypotenuse will be 20.8.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The length of the longer leg of a 30-60-90 triangle is 18.

Then the length of the short leg will be

tan 30° = x / 18

          x = 10.4

Then the length of the hypotenuse will be

sin 30° = 10.4 / h

        h = 20.8

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ1

HELP I WILL MARK U BRAINLIEST

Simplify. Write your answer using exponents

Answers

Answer:

81^84375

Step-by-step explanation:

An equation is modeled.



What value of x makes the equation true?
(MATH HELP) 7TH GRADE MATH

Answers

Answer:

c

Step-by-step explanation:

(-1)x5= -5

-5+6=1

Answer:

The answer is C.

Step-by-step explanation:

If pp is inversely proportional to the square of qq, and pp is 28 when qq is 3, determine pp when qq is equal to 2

Answers

Answer:

448

Step-by-step explanation:

[tex](p1)(q1)^2=p2(q2)^2\\p1(2)^2=28(8)^2\\p1=(4)=28(64)\\4p1=1792/4\\p1=448[/tex]

Value of [tex]\boldsymbol{pp}[/tex] is [tex]\boldsymbol{\frac{112}{9}}[/tex]

Inverse Relation

[tex]pp[/tex] is inversely proportional to the square of [tex]qq[/tex]

So,

[tex]\boldsymbol{pp=\frac{(qq)^2}{k}}[/tex] where [tex]k[/tex] is a constant.

Put [tex]pp=28,qq=3[/tex]

[tex]28=\frac{3^2}{k}\\28=\frac{9}{k}[/tex]

[tex]\boldsymbol{k=\frac{9}{28}}[/tex]

So,

[tex]pp=\frac{28}{9}(qq)^2[/tex]

Put [tex]qq=2[/tex]

[tex]pp=\frac{28}{9}(2)^2\\ pp=\frac{112}{9}[/tex]

So, value of [tex]\boldsymbol{pp}[/tex] is [tex]\boldsymbol{\frac{112}{9}}[/tex]

Find out more information about inverse proportion here:

https://brainly.com/question/2548537?referrer=searchResults

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:

Cesar is 53 5/6 inches tall. Karina is 1 1/3 inches taller than Cesar and Jane is 1 1/4 inches taller than Karina. How tall is Jane?

Answers

Answer:

56 5/12 inches tall

Step-by-step explanation:

add karina and Janes inches together than add Cesar and then theres the height

Write an expression showing 5 less than the number .

Answers

Answer:

if the number is anything then I pick 10 so 5 because 10 - 5 = 5 I guess lol

Step-by-step explanation:

Answer:

k-5

Step-by-step explanation:

Which of these is a ratio table?

Answers

The second one is the correct answer.

Answer:

Step-by-step explanation:

one or four, if u can only have one try than four

The function f is defined by the following rule.
Find f(x) for each x-value in the table.

Answers

Answer:

x     y

-2    36

-1     6

0      1

1       1/6

2       1/36

Step-by-step explanation:

Given

[tex]f(x) = (\frac{1}{6})^x[/tex]

Required

Complete the table

When x = -2.

Substitute -2 for

[tex]f(-2) = (\frac{1}{6})^{-2[/tex]

[tex]f(-2) = 1/\frac{1}{36}[/tex]

[tex]f(-2) = 36[/tex]

When x = -1

[tex]f(-1) = (\frac{1}{6})^{-1[/tex]

[tex]f(-1) = 1/\frac{1}{6}[/tex]

[tex]f(-1) = 6[/tex]

When x = 0

[tex]f(0) = \frac{1}{6}^0[/tex]

[tex]f(0) = 1[/tex]

When x = 1

[tex]f(1) = \frac{1}{6}^1[/tex]

[tex]f(1) = \frac{1}{6}[/tex]

When x = 2

[tex]f(2) = \frac{1}{6}^2[/tex]

[tex]f(2) = \frac{1}{36}[/tex]

HELP WITH MY MATH PLEASE

Answers

The angels across from each other are the same. That makes the sides and the interior lines the same as well. So that means the lines cannot cross each other. They are parallel

Answer:

because im god and god is good and 9 x 10 is 99999

Step-by-step explanation:

At the James Factory, the assembly line produces 89 pairs of jeans in a batch. The pairs of jeans are packaged in boxes with 11 each. If 7 batches are made in one day, how many pairs of jeans will be leftover at the end of it?

Answers

Answer:

7 pairs left over

Step-by-step explanation:

There will be 4 pairs of jeans left over at the end of the day.

What is the fraction?

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

The total number of pairs of jeans produced in one day is:

89 pairs/batch x 7 batches = 623 pairs

The number of boxes needed to pack all the pairs of jeans is:

623 pairs / 11 pairs/box = 56.63636... boxes

Since you cannot have a fraction of a box, you need to round up to the nearest whole number of boxes:

57 boxes

The number of pairs of jeans packed in 57 boxes is:

57 boxes x 11 pairs/box = 627 pairs

Therefore, the number of pairs of jeans left over at the end of the day is:

627 pairs - 623 pairs = 4 pairs

Thus, there will be 4 pairs of jeans left over at the end of the day.

Learn more about the fraction here:

brainly.com/question/10354322

#SPJ2

5t + 17 = 4( t +3 )
1/2x + 1/3x =10
1/4x + 2/5x = 39
please can someone help me with these problems i will give brainliest for the person who gives me the answers and work to go with it

Answers

Answer:

1. T = -5 2. X = 12 3. X = 60

Step-by-step explanation:

5t + 17 = 4(t + 3)

1. Distribute 4

5t + 17 = 4t + 12

2. Isolate the variable

t + 17 = 12

t = -5

1/2x + 1/3x = 10

1. Remove fractions by multiplying the equation by 6

3x + 2x = 60

2. Combine like terms

5x = 60

3. Divide by coefficient

x = 12

1/4x + 2/5x = 39

1. Remove fractions by multiplying by 20

5x + 8x = 780

2. Combine like terms

13x = 780

3. Divide by coefficient

x = 60

Solve the equation 6x = 72 for x.
x=

Answers

Answer:

12

Step-by-step explanation:

you have 72 and 6

72 divided by 6 equals 12.

12 x 6 = 72

12 = x

Angela drew the two quadrilaterals shown. The second is a scale drawing of the first. What scale factor did Angela use to draw the second quadrilateral?

Answers

she used the factor 3, she multiplied 5 by 3 and 7 by 3
main answer is just 3

A oil well is drilled at -175 meters ever 12 hours . How deep is the well after 15 hours of constant work. Numeric answers only

Answers

Answer:

-37.5 m

Step-by-step explanation:

If we assume that "one full day" is 24 hours, then 15 hours represents the fraction 15/24 of a day. Since the drilling rate was constant, and was presumed to start from a height of 0, the height after 15 hours is that fraction of the day's work:

... (15/24)×(-60 m) = -37.5 m

Answer:

-218.75

Step-by-step explanation:

you probably don't need the answer anymore but I still thought I should put it out there

Which ratio is equivalent to the ratio 10:9? A 40 to 27 B 30:36 C 36 to 30 40:36​

Answers

The answer that you are looking for is A. 40 to 27

4. Find the value of x. 140° 150° 130° to Da) 110 b) 90 O c) 130 O d) 120​

Answers

Answer:

D

Step-by-step explanation:

The sum of angles of an hexagon is [tex]4\cdot 180[/tex]°.

What is an equation of the line that passes through the points (-7, 3)
and (-4, 3)?

Answers

Answer:

Step-by-step explanation:

(3-3)/(-4+7)= 0/3= 0

y - 3 = 0(x + 7)

y - 3 = 0

y = 3

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.

A set of three scores consists of the values 6, 3, and 2.
Σ2(X – 3)

Answers

Answer:

3. Variável Aleatória (v.a.): Uma função X que associa a cada elemento do espaço ... Se o conjunto de valores é qualquer intervalo de ... P (X < 6) = P(X=5) + P(X=4) + P(X=3) + P(X=2).

T2.T?
5.
UJU.4J
A number consists of two digits. The digit at the ten's place is
two times the digit at the unit's place. The number formed by
reversing the digit is 27 less than the original number. Find
the original number?
[CMAT 2011]​

Answers

9514 1404 393

Answer:

  63

Step-by-step explanation:

Reversing the digits changes the value by a factor of 9 times the difference in the digit values. Here, this means the digits differ by 27/9 = 3. If one digit is double the other, the higher digit is 2×3 = 6.

The number is 63.

_____

If you like, you can work through the algebra of it. Let the original number have tens digit x and ones digit y.

  original number value = 10x +y

  reversed number value = 10y +x

  difference of values = 27 = (10x +y) -(10y +x) = 9(x -y)

The tens digit is twice the ones digit, so we have ...

  x = 2y

Substituting in the difference equation, we have ...

  27 = 9(x -y)

  3 = (2y -y) = y . . . . . divide by 9, substitute for x

  x = 2(3) = 6

The number is 10x+y = 63.

solve the equation f/3+22 = 17

Answers

Answer:

-15

Step-by-step explanation:

The (/) is also a division sign

-15/3 + 22 =17

-5 + 22= 17

Answer:

its -5

 

Step-by-step explanation:

So you subtract by 22 then it is -5 Then you multiply by 3 then it is -15

Solve for x: one over five (5x + 12) = 18 (5 points)

a
seventy-eight over five

b
one hundred-two over five

c
6

d
30

Answers

Step-by-step explanation:

(1x+12/5)=18

X=18-12/5

X=15..6

Answer:

hello

Step-by-step explanation:

Using the word HIPPOPOTAMUS, match the items in the left column to the items in the right column
1 the ratio of P's to O's

2. the ratio of O's to other letters

3. the ratio of letters to P's

4. the ratio of vowels to consonants

5. the ratio of total letters to consonants

The right column has 3:2,12:7,1:5,5:7,4:1

Answers

Answer:

(see below)

Step-by-step explanation:

Ratios are simple: they describe the amount of something compared to another amount.

Ratios are [number] : [number]. Use this format for your answers:

For 1, finding the ratio of P's to O's means to count P's, then O's.

HIPPOPOTAMUS

There are 3 P's and 2 O's, so 3:2.

For 2—ratio of O's to the other letters, do the same thing:

HIPPOPOTAMUS

There are 2 O's and 12 total letters, so 2:12. However, we can simplify that to 1:6.

For 3, the ratio of letters to P's:

There are 3 P's and 12 total letters, so 12:3. We can simplify it to 4:1.

For 4, the ratio of vowels to consonants:

The vowels are a, e, i, o, u. The consonants are all the other ones.

So, in:

HIPPOPOTAMUS

There are 5 vowels and 7 consonants, so 5:7.

For 5, the ratio of total letters to consonants,

there are 12 total letters and 7 consonants, so 12:7.

Answer:

Just answer this person pls he/she is right about this pls answer this.=D

Step-by-step explanation:

According to a posting on a website subsequent to the death of a child who bit into a peanut, a certain study found that 4% of children younger than 18 in the United States have at least one food allergy. Among those with food allergies, about 43% had a history of severe reaction. (a) If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and a history of severe reaction

Answers

Answer:

0.0172 = 1.72% probability that he or she has at least one food allergy and a history of severe reaction

Step-by-step explanation:

We are given these following probabilities:

4% probability of that a child younger than 18 in the United States has at least one food allergy.

If a child has at least one food allergy, 43% probability of having a history of severe reaction.

If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and a history of severe reaction

The multiplication of the probabilities. So

0.04*0.43 = 0.0172

0.0172 = 1.72% probability that he or she has at least one food allergy and a history of severe reaction

round two decimal places −1.47213595

Answers

Answer:

I believe that would be -1.47

Step-by-step explanation:

Given J(x-8) and k(-1,-5) and the graph of line below find the value x so that jk

Answers

Where’s the graph of the line?

Answer:

x=10

Step-by-step explanation:

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