A player pays $15 to play a game in which a chip is randomly selected from a bag of chips. The bag contains 10 red chips, 4 blue chips, and 6 yellow chips. The player wins $5 if a red chip is
selected, $10 if a blue chip is selected, and $20 if a yellow chip is selected. Let the random variable X represent the amount won from the selection of the chip, and let the random variable W
represent the total amount won, where W= X - 15. What is the mean of W?
$10.50
B
$4.50
-$4.50
D
- $6.50
E
-$10.50

Answers

Answer 1

Answer:

C. -$4.50

Step-by-step explanation:

To find the mean of W we must first find the mean of X. So, 10/20*5+4/20*10+6/20*20=10.5

Then because mean is impacted by transformations, the mean of W=the mean of X-15=10.5-15=-$4.50

Answer 2

Here we need to find the expected value of the given probabilistic game.

The correct option is B: -$4.50

-------------------------------

For an event with outcomes {x₁, x₂, ...}, each one with probability {p₁, p₂, ...}, the expected value is defined as:

[tex]EV = x_1*p_1 + x_2*p_2 + ...[/tex]

Here the outcomes are:

x₁ = winning $5.

This happens if a red chip is selected, and there are 10 red chips in a bag of 20 chips, so the probability is:

p₁ = 10/20 = 1/2

x₂ = winning $10

This happens if a blue chip is selected, and there are 4 blue chips out of 20 chips, so the probability is:

p₂ = 4/20 = 1/5

x₃ = winning $20

This happens if a yellow chip is selected, and there are 6 of these in a total of 20, then the probability is:

p₃ = 6/20 = 3/10

Now we can compute the expected value:

[tex]EV = \$ 5*(1/2) + \$ 10*(1/5) + \$ 20*(3/10) = \$ 10.50[/tex]

Now if you also take in mind that you need to pay $15.00 to play, we will see that the mean of W, the amount that you won, is:

W = $10.50 - $15.00 = -$4.50

Which means that in average, you lose $4.50

If you want to learn more, you can read:

https://brainly.com/question/18523098


Related Questions

I really need help ... I need a tutor or someone who’s willing to help me bc I’m struggling in math

Answers

Answer:

I gotchu on this one I didn't know the other one but this one is pretty easy

A parallelogram is a rectangle if and only
if its diagonals are congruent.

Answers

Answer:

A parallelogram is a rectangle if and only if its diagonals are congruent. A rectangle is a parallelogram with four right angles. A rhombus is a parallelogram with four congruent sides. If a parallelogram has two consecutive sides congruent, it is a rhombus.

Step-by-step explanation:

It is a rhombus.Hope this helps

What is the equation of the line passing through (-5, - 3)
and perpendicular to the line representing the equation
y=-3x+2?
Select one:
O
y = -
5 46
7-T
O ;=x+4
=ין
0 = 2 + 1/3
O
1=
ل |
3x - 10

Answers

Answer:

y=7/5x+4

Step-by-step explanation:

the other ones either are to low on the graph to hit -5-3 or they are parallel instead of perpendicular to the given equation

Find the slope using the formula.
(9,-5) and (-2,9)

Answers

Answer:

14/-11

Step-by-step explanation:

use the slope formula ( y2-y1/x2-x1)

Answer:[tex]-\frac{14}{11}[/tex]

Step-by-step explanation: Formula (y2-y1)/(x2-x1)

(9+5)/(-2-9) = [tex]-\frac{14}{11}[/tex]

Select all the transformations that take rectangle abcd onto itself

Answers

Answer: (x + 0, y − 4), 180° rotation, reflection over the y-axis.

can someone pl help me

Answers

Answer:
Sure

Explanation:
What’s your question?

The sum of two numbers is 59. The smaller number is 5 less than the larger number. What are the numbers?
Help please

Answers

Answer:

The answer is 32 & 27 because they add up to 59 and 27 is 5 less than 32.

Step-by-step explanation:

Answer:

32, 27

Step-by-step explanation:

Call one number (the larger one)  "x"

The other number (smaller one) is " x - 5"

As per the given information;

x + x - 5 = 59

Inverse operations;

x + x - 5 = 59

        +5    +5

2x = 64

/2    /2

x = 32

Larger number= 32

Smaller numbers = x - 5 = 32 - 5 = 27

A middle school took all of its 6th grade students in a field trip to see a ballet at a theater that has 4200 seats. The students filled 84 percent of the seats in the theater. How many 6th graders went on the trip?

Answers


630 students when on the trip

Name • A compound subject has two or more subjects with the same predicate. • A compound predicate has two or more predicates with the same subject * Combine subjects or predicates using and, or, or but, or the words eitherior and neitherinor. A Write an S if the sentence has a compound subject. Write a P if the sentence has a compound predicate. Write each compound subject or predicate on the line. Then put parentheses around the word or words that combine the subjects or predicates Omar got a new puppy and named her Daisy. 2. Daisy and Omar enjoy playing outside together in good weather. 3. Nesther Omar nor Daisy likes to be outside in the rain.​

Answers

Answer:

Step-by-step explanation:

1. Omar got a new puppy "and" named her Daisy.

P (compound predicate)

The compound predicates are 'got' and 'named'

The word 'and' combined the predicates

2. Daisy "and" Omar enjoy playing outside together in good weather.

S (compound subject)

The compound subjects are 'Daisy' and 'Omar'

The word 'and' combined the subjects

3. "Neither" Omar "nor" Daisy likes to be outside in the rain.

S (compound subject)

The compound subjects are 'Omar' and 'Daisy'

The words 'neither nor' combined the subjects

Which is greater: 10cm or 103mm? How much greater?

Answers

Answer:

0.3cm and/or 3mm

Step-by-step explanation:

When converting 10cm to mm you get 100mm and when putting 100mm to 103mm its visible that the 103mm is larger, but by how much? The difference is 0.3cm and/or 3mm.

2) Juan had $622 in his checking account. He deposited a check for $180, and $100
cash. However, he recently had an overdraft on his debit card and had a $35 overdraft
fee. What is his new account balance after the deposits and the fee?

Answers

Answer:

867

Step-by-step explanation:

622+180+100=902

902-35=867

a recipe calls for 2/3 cup of milk for 11 cookies. How many cups of milk are needed for 165 cookies​

Answers

Answer:

11 x 15 = 165, so to make 165 cookies, you would need 15 times the milk.

2/3 times 15 = 10

You would need 10 cups of milk to make 165 cookies

The answer is 10 Bc 165 you divide it by 11 it = 15 then 15 time 2/3 is 10

Find the mean, median and mode of the weights of the people shown.

Answers

This is your perfect answer

Multiple Choice: Choose the correct answer for questions 1 and 2.
1. The height of Trisha, a 17-year-old female student, is in the lower quartile for height for girls aged 16 to 18. This statement means:
A. Trisha's height is average for her age.
B. Trisha is shorter than 25% of girls aged 16 to 18.
C. Trisha is shorter than 75% of girls aged 16 to 18.
D. Trisha is taller than 75% of girls aged 16 to 18.
What is the answer

Answers

Answer:

The correct answer is:

C. Trisha is shorter than 75% of girls aged 16 to 18.

Step-by-step explanation:

When a dataset is divided into four equal parts, the first part is called the lower quartile. The data is usually sorted in ascending order before finding quartiles.

The lower quartile contains 25% of the whole data. The values in lower quartile are are less than 75% of the values.

If Trisha's height is in lower quartile that means her height is less than the girls in middle and higher quartile.

Hence,

The correct answer is:

C. Trisha is shorter than 75% of girls aged 16 to 18.

Last week the Stock A increased by 0.35%. If it had been selling for $150.00, how much did it increase? (round to the nearest penny)

Answers

Answer:

5;

Step-by-step explanation:

thyhertbfdhfdvsd

PLEASE HELP ITS TIMED I DONT NEED BIG EXPLAINATION

Jane uses red and blue square tiles to make a design. Her design includes 4 squares that are each x tiles long. She has exactly 16 red tiles and uses them all in her design. The number of blue tiles in her design is modeled by the function b(x)=4x2−16

.


How can b(x)

be written to show how long Jane's squares are when her design includes zero blue tiles?


A

b(x)=4(x2−3.5)−2

B

b(x)=4(x2−4)

C

b(x)=4(x+2)(x−2)

D

b(x)=4(x2−2)−8

Answers

Answer:

(C ) b(x)=4(x+2)(x−2)

Step-by-step explanation:

We are given

The number of blue tiles in her design is modeled by the function b(x)=[tex]4x^2-16[/tex]

if the no of blue tiles used is zero then

b(x) =[tex]4x^2-16[/tex] = 0

       [tex]x^2 = 16/4[/tex] = 4

      x = +2 and -2

this is the condition for blue tiles

Modelling

b(x) = 4(x+2)(x-2)

This means when the blue tiles used are zero, then we use 2 red tile on each of the two square of 4 square. so the length will be 4 tiles long and its a square so 4x4 = 16 red tiles.

round 446,662 to the nearest hundred thousand

Answers

Answer:

400,000

Step-by-step explanation:

446 is the closest to 400 so 400,000

pls mark brainliest

Answer:

400,000 is the correct answer

Step-by-step explanation:

just round the 4.

}24} Please help me with this question.

Answers

Answer:

Queen

Step-by-step explanation:

This is because only the Queen rules the United Kingdom

Hope this Helps!!! :)

Complete the steps to find the value of x.
2x
128

Answers

2x = 128

divide 2 with 128 and that will be the answer to x

2 divided by 128 = 64

x=64

The required value of the x in the expression 2x = 128 is x = 64.

Given that,
An expression is given 2x = 128, to determine the simplified value of the x.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The given expression is,
2x = 128
Dividing both the sides by 2
2x / 2 = 128 / 2
x = 64

Thus, the required value of the x in the expression 2x = 128 is x = 64.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

Every week hector works 20 hours and earns $210.00 he earns a constant amount of money per hour white a equation that can be used to determine the number of hours h hector works given the number of weeks w

Answers

Answer:

to find out how much hector earns a hour we can do

Step-by-step explanation:

210 ÷ 20

I think you missed some writing it doesn't say the whole question. so I'm not really sure^^

State if the triangle is acute, obtuse, or right. ​

Answers

right because there’s a right angle

Answer:

Its a right triangle.

Step-by-step explanation:

Jack wants to buy a pair of trousers for $60. When he went to the store he found that the price was marked down by 20%. How much do they cost now?

Answers

The trousers will cost $48.



60 / 100 = 0.6


20% off so that will make it 80% of 60 so you put the two together by doing:


0.6 * 80 = 48

A square has a perimeter of 36 cm.
Calculate the area of the square.

Answers

Answer:

81 square cm

Step-by-step explanation:

36/4 = 9, so each side is 9 cm. 9 times 9 is 81.

Shelby Industries has a capacity to produce 45,000 oak shelves per year and is currently selling 40,000 shelves for $32 each. Martin Hardwoods has approached Shelby about buying 1,050 shelves for a new project and is willing to pay $26.8 each. The shelves can be packaged in bulk; this saves Shelby $1.14 per shelf compared to the normal packaging cost. Shelves have a unit variable cost of $25.4 with fixed costs of $350,000. Because the shelves don’t require packaging, the unit variable costs for the special order will drop by $1.14 per shelf. Shelby has enough idle capacity to accept the contract. What is TOTAL the profit/loss if Shelby should accept for this special order?

Answers

Answer:

y = mx + c

since m = 0

c = 9

$350,000 + $25.4 = y value

The total loss is $347,115 for Shelby if they accept the special order.

What is the profit?

The profit is equal to the difference between the selling price and the original cost price.

To find the profit or loss for Shelby if they accept the special order, we need to calculate their total revenue from the sale and subtract their total costs.

First, let's calculate the total revenue from the sale of the 1,050 shelves to Martin Hardwoods. The price per shelf is $26.8, so the total revenue is 1,050 shelves x $26.8/shelf = $28,020.

Next, we need to calculate the total cost of producing and packaging the shelves. The unit variable cost is $25.4 per shelf, but because the shelves don't need to be packaged, the unit variable cost will be reduced by $1.14 per shelf. This means the unit variable cost for this special order is $25.4 - $1.14 = $24.26 per shelf.

The total cost of producing the 1,050 shelves is 1,050 shelves x $24.26/shelf = $25,135.

Finally, we need to add in the fixed costs of $350,000. This means the total cost of the special order is $25,135 + $350,000 = $375,135.

To find the profit or loss, we subtract the total cost from the total revenue: $28,020 - $375,135 = -$347,115.

Therefore, the total profit or loss for Shelby if they accept the special order is a loss of $347,115.

To learn more about the profits click here:

https://brainly.com/question/15036999

#SPJ2

If the time is given in months, you must first _____________ by 12.

Answers

Answer:

Multiply

Step-by-step explanation:

I'm assuming you are turning months into years to do so you would multiply the time in months by 12 to get the time in years

In rhombus FGHJ, m∠1=37°.

What is m∠2?

Answers

Answer:

m∠2 = 53°

Step-by-step explanation:

We will use two properties of a rhombus to solve this problem.

1). Opposite angles of a rhombus are equal.

2). Diagonals bisect the angles.

Since ∠JFG and ∠JHG are the opposite angles of the rhombus,

m∠JFG = m∠JHG

Since, diagonal FH bisect ∠JHG,

m∠FHJ = m∠GHF = m∠JFH = m∠GFH = 37°

In triangle JFH,

m∠FHJ + m∠JFH + m∠HJF = 180°

37° + 37° + m∠HJF = 180°

m∠HJF = 180 - 74

            = 106°

Since, diagonal GJ bisects angle HJF,

m∠FJG = [tex]\frac{106}{2}[/tex] = 53°

Therefore, m∠2 = 53°.

Answer:

m∠2 = 53*

Step-by-step explanation:

A polynomial function, f(x), has x-intercepts at (-6,0) and (2,0). What is one possible factor of f(x)? PLEASE GIVE STEPS

Answers

Set
f
(
x
)
=
0
f(x)=0.
If the polynomial function is not given in factored form:
Factor out any common monomial factors.
Factor any factorable binomials or trinomials.
Set each factor equal to zero and solve to find the
x
x- intercepts.

A polynomial that has at least one x-intercept, will have at least one factor.

The factors of the polynomial are [tex]\mathbf{x +6}[/tex]  and [tex]\mathbf{x - 2}[/tex]

The given parameters are:

[tex]\mathbf{x-intercepts = (-6,0)\ and\ (2,0)}[/tex]

The x intercepts, represent the value of x, when the function equals 0.

So, the x values at the x-intercepts are:

[tex]\mathbf{x = -6 \ and\ x = 2}[/tex]

Set these equations to 0

[tex]\mathbf{x +6=0 \ and\ x - 2=0}[/tex]

Hence, the factors of the polynomial are:

[tex]\mathbf{x +6}[/tex]  and [tex]\mathbf{x - 2}[/tex]

Read more about factors of polynomials at:

https://brainly.com/question/12787576

evaluate 2/3 times -4 times 9 divided by -2 divided by 1/2

Answers

Answer:

Evaluated: 2/3 (or 0.6 repeating) -4 • 9 ÷ -2 ÷ 1/2 (or 0.5)

Equals: 36.6 (.6 is repeating)

Step-by-step explanation:

Just simplify the fractions and solved with calculator :)

Answer: 24 Explanation: You would have to use PEMDAS for this. First, you would multiply -4 x 9 to get -36 then you would multiply that by 2/3 to get -24. Next you would divide -24 by -2 and that would get you a positive 12. Finally you would divide 12 by 1/2 and that would give you 24. Hopefully this makes sense. Heres my work for it too.

y + 12 = -30
Please help

Answers

What do you want help with? You didn't ask a question...

.......................Y= -42...................

Aisha has $100 saved from her job. She wants to buy as many charms for her bracelet, at $4 each and earrings at $5 per set, as she can without spending all of her money. The inequality represents her spending, where x is the number of charms and y is the number of sets of earrings. 4x + 5y < 100 SAMSUNG Which ordered pair (x, y) represents a combination of charms and earrings Aisha can buy? A. (16,8) B. (15,8) C. (9, 13) D. (6, 15) E. , (5, 16)​

Answers

Answer:

The answer is D

Step-by-step explanation:

6 times 4 is 24

15 times 5 is 75

75 + 24 = 99

The rest of the answers go over 100

The ordered pair that represents a combination of charms and earrings Aisha can buy is (6,15).

What is inequality?

The relation between two unequal expressions is defined as inequality.

The given inequality is 4x+ 5y <100.

(A) Check the inequality for (16,8):

4(16) + 5(8) < 100

64 + 40 < 100

104 < 100

The inequality is false.

(B) Check the inequality for (15,8):

4(15) + 5(8) < 100

60 + 40 < 100

100 < 100

The inequality is false.

(C) Check the inequality for (9,13):

4(9) + 5(13) < 100

36 + 65 < 100

101 < 100

The inequality is false.

(D) Check the inequality for (6,15):

4(6) + 5(15) < 100

24 + 75 < 100

99 < 100

The inequality is true, hence, (6,15) represents a combination of charms and earrings Aisha can buy.

(E) Check the inequality for (5,16):

4(5) + 15(16) < 100

20 + 240 < 100

260 < 100

The inequality is false.

Hence, the ordered pair that represents a combination of charms and earrings Aisha can buy is (6,15).

To learn more about inequalities, click here:

https://brainly.com/question/28823603

#SPJ2

Other Questions
How does Chappelow explain a Mixed Economic System? PLEASE HELP ME !!Which statement about organisms in the fossil record is correct?Organisms show a steady decrease in diversity, interrupted by extinction events.Organisms show an increase in diversity only right after an extinction event.Organisms show a steady increase in diversity, interrupted by extinction events.Organisms show a decrease in diversity only right before an extinction event. Will give brainliest if right! Congress shall make no law respecting an establishment of ___ or prohibiting the free exercise thereof.1. Education 2. Entertainment 3. Religion 4. Banking 5. Speech Solve this -0.5 (5c + 8d ) I need help with this question (please help me english native speakers) The concentration C of certain drug in a patient's bloodstream t hours after injection is given byC(t)= t/3t^2+5Required:a. Find the horizontal asymptote of C(t). (Answer must be in slope-intercept form.)b. Determins what happens to the concentration of the drug as t increases. As t increases, what value will c(t) approach.c. Determine the time at which the concentration is highest. David cycled 4 laps on a bicycle path surrounding a lake. Each lap was the same length. If he cycled a total of 13.2 mi, what was the length of each lap around the lake? Write your answer in feet. during migration , a butterfly can travel 30 miles in 1 hour . which graph best represents y , the number of miles a butterfly can travel in x hours ? What are some of the cities where jazz first developed during the 1920s and 1930s? Why do you think these particular cities became important sites for jazz? From the timeline, on the left choose one subgenre of jazz and discuss what elements are found in this type of music. Choose one decade from the timeline on the left, and discuss how that particular decade influenced the development of jazz music. What is hard bop? What is jazz fusion? What is jazz like today? After listening to some of the music from different jazz composers, which one do you like the best? Why? n state court, a losing party can appeal a case if a jury is unable to make a decision. a judge disagrees with a jurys decision. a precedent does not exist. a higher court agrees to hear it. What is the slope of the line shown below? pls pls pls halpWhich theme in The Hobbit is best reflected by Thorin forgiving and apologizing to Bilbo when Thorin is on his deathbed?Most people are wiser than they seem.Others cannot see one's greatness.Most of the time, people are just as they seem.It is possible to overcome greed. What type of dance does a geometry teacher like Jack is playing an online puzzle game. He has 100 points and earns 10 points for each puzzle he solves correctly. He will advance to the next round if his score is over 250 points. Which inequality can Jack use to find how many more puzzles he must solve to advance to the next round?A. 10x + 100 > 250 B. 10x + 100 < 250 C. 100x + 10 > 250D. 10x + 250 < 100PLZ HELPPP If anyone plays pokemon go put your code in your answer and I will add you Should inequality sign flip when solving the problem How many atoms of hydrogen would need to bond with a single atom of selenium to form a molecular compound? HELPPPPPGiven: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2xh(g(f(x))) = ______x + _____x + ____1. -8, 4, 82. -20, 20, -403. 50, -50, 25 alexanders conquest led him to invade what part of asia? The colonists gained confidence in their ability to fight the better-equipped and better-trained British ata. The siege of Boston b. The battle of bunker hillc. The battles of Lexington and concordd. The second continental congress