Suppose that you and a friend are playing cards and decide to make a bet. If your friend draws three fives in succession from a standard deck of 52 cards with replacement, you give him $70. Otherwise, he pays you $10. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.

Answers

Answer 1

The expected value of the bet, given amount you'll pay if your friend pulls three fives in succession, is $9. 99

How to find the expected value?

To find the expected value, you first need to find the probability that your friend picks three fives in succession.

There are 4 fives in a standard deck of 52 cards so the probability that your friend will pick three of them in succession is:
= 4 / 52 x 3 / 51 x 2 / 50

= 1 / 5, 525

The probability that he does not get the cards is:

= 1 - 1 / 5, 525

= 5, 524 / 5, 525

The expected value of your bet is therefore:

= ( Probability that your friend pulls the three fives x Loss to you )  + ( Probability that your friend does not pull the cards x Amount you gain)

= ( 1 / 5, 525 x - 70) + (5, 524 / 5, 525 x 10 )

= $9. 99

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Related Questions

Helen says the sum of two prime numbers is always even. patty disagrees who is correct? Explain your answer

Answers

Answer:

Patty

Step-by-step explanation:

The sum of 2 + 3 is 5 so it is not always a even number

Jessica needs to know how much water her new fish tank can hold:

A rectangular prism with a length of 8 inches, a width of 4 inches, and a height of 9 inches.

Determine the total volume of the fish tank.

Answers

The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

The volume of a rectangular prism can be calculated using the formula:

V = l x b x h..........(i)

where,

V ⇒ Volume

l  ⇒ length

b ⇒ width

h ⇒ height

From the question, we are given the values,

l = 8 inches

b = 4 inches

h = 9 inches

Putting these values in equation (i), we get,

V = 8 x 4 x 9

⇒ V = 288 in³

Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

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Given that f(x) = x^2 – 13x + 36 and g(x) = x – 9, find (f + g)(x) and express the result in standard form.

Answers

Answer: fx + gx

 f(x) =x^2 -13x + 36

g(x) = x - 9

Please awnser asap I am
Stuck

Please awnser asap I amStuck

Answers

Answer:

it is too blury to read

Step-by-step explanation:

A 0.60-kg basketball is dropped out of a window that is 6.1mabove the ground. The ball is caught by a person whose handsare 1.5m above the gound.1. How much work is done on e the ball by its weight?What is the gravitational potential energy of the basketball,relative to the ground, when it is ... 2. released and 3. caught?4. How is the change (PEf- PE0) in the ball'sgravitational potential energy related to the workdone by its weight?

Answers

work is done on ball by its weight; Wg = 27 Jgravitational potential energy; Ug0 = +36 Jgravitational potential energy relative to the ground; Ugf = +8.8Jchange (PEf- PE0) = -27 J.Explain the term gravitational potential energy?The energy that an object has or acquires when its position changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.

The work that gravity does;

W = F.S = mgΔh

In light of the fact that gravity points downward and that displacement is also downward, their angle is 0 and their cosine 1, respectively.

W = mgΔh

g = 9.8 m/s²

Δh  = 4.6 m

m = 0.60 kg

W = 0.60 x 9.80 x 4.6

W = 2.7 J

The source of gravitational potential energy in relation to the ground is;

U = mgh

The release point therefore

Ug = mgh(0)

U0 = 0.60 x 9.8 x 6.1

U0 = 35.87 J

At the point of release

U(gf) = mgh(f)

U(gf) = 0.60 x 9.80 x 1.5

U(gf) = 8.820 J

Gravitational potential energy changes are;

ΔU(g) = U(gf) - U0

ΔU(g) =  8.820 J - 35.87 J

ΔU(g) = -27.05 J

Result, we can see that the work done through gravity is the opposite of how the gravitational potential energy has changed.

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A 0.60-kg basketball is dropped out of a window that is 6.1mabove the ground. The ball is caught by a

A certain forest covers an area of 4000 km². Suppose that each year this area decreases by 4.25%. What will the area be after 15 years?

Answers

The area of the forest after 15 years will be 2189.4

What is an area?

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

i = The initial area of the forest = 4200km

r = Per year decrease is = 4.25%

n = Number of years = 15

The required formula is

The area of forest will be

A = i (1-r)^n

A = 4200(1-0.425)^15

A= 2189.4

Hence, the area of the forest will be 2189.4

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How much would Gwen and Lisa have to buy if they also had to replace the fence on their pool? Show how you found the answer.

Answers

To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.

To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.

Let's consider some factors that could affect the amount they would need to purchase:

Perimeter of the pool:

The length of the fence required would depend on the perimeter of the pool.

If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.

Fence height:

The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.

This would determine the length of fencing material they need to purchase.

Fence type and style:

Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.

The choice of fence material and style will impact the amount they would have to buy.

Gates and openings:

If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.

The number and size of gates would affect the total amount of fencing material needed.

With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.

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Select the correct answer.
To help with staffing decisions, the manager of a large grocery store recorded the total number of customers waiting in line at registers each half
hour over a 12-hour period. The data she collected is shown in the graph.
Customers in Line by Half Hour

Select the correct answer.To help with staffing decisions, the manager of a large grocery store recorded

Answers

Answer:

Someone else answered this. It's 24

y - 4.6 = 12
Pls help

Answers

Answer:

y = 16.6

Step-by-step explanation:

y - 4.6 = 12

Add 4.6 to each side

y - 4.6+4.6 = 12+4.6

y = 16.6

100 points. Function fis a quadratic function passing through the points (-4,0), (0, -12) Function gis modeled by the graph.​

100 points. Function fis a quadratic function passing through the points (-4,0), (0, -12) Function gis

Answers

Answer:

Open points on 1 and 3 with ray connecting.

Step-by-step explanation:

Because it's right.

100 points. Function fis a quadratic function passing through the points (-4,0), (0, -12) Function gis

From the graph of the function |(f)| and |(g)|, the interval at which both functions are negative are 1 and 3.

What is a quadratic function?

A quadratic function can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the graph of a quadratic function is parabolic because it is u-shaped. From the graph of the function |(f)| and |(g)|, we can deduce that the interval at which both functions are negative are 1 and 3 as shown in the image attached below.

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100 points. Function fis a quadratic function passing through the points (-4,0), (0, -12) Function gis

9(3+c+4) what is the answer I got 62+9c can somebody help me out?

Answers

Answer:

Hmm I got 9c+63

Step-by-step explanation:

Answer: 7c times 9

Step-by-step explanation: PEMDAS

9(3+c+4) (3+c+4)= 7c

9(7c) the parentheses means times so 9 times 7c but it in this order 9(7c) btw I’m in middle school and this is college? Easy hope I’m right.

The price of a Graphing calculator is $80 the sales tax is 7%. What is the cost of the calculator

Answers

Answer:

$85.60

Step-by-step explanation:

In this question, we need to find the price of the calculator after tax.

We know the cost of the calculator is $80 and the sales tax is 7%

To find your answer, we would multiply 80 by 1.07:

80 · 1.07 = 85.60

The total cost of the calculator is $85.60


PLEASE HELP

Determine which quadratic equation reveals its maximum or minimum value without changing the form of the equation.
y=x² + 4x-3
y = -3(x+4)² + 1
y=(x-9)(x + 7)
y=2x²-5x+4-10

Answers

y=x²+(3+1)x-3

y=x²+3x+1x-3

y=x(x+3)-1(x+3)

y=(x-1)(x+3)

I NEED HELP!! I'll give you brainliest!! A high school wants to expand its P.E. schedule. To better understand the needs of the students, the principal looked at which forms of exercise are preferred by the 18 students in the sample group.The Venn Diagram shows this information be gathered.a. How many students preferred swimming over running or walking?b. How many students choose running or walking?c. Which students preferred swimming and walking, but not running

I NEED HELP!! I'll give you brainliest!! A high school wants to expand its P.E. schedule. To better understand

Answers

Answer:

a. Three students preferred swimming over running and walking.

b. Fourteen students chose running or walking.

c. Alex and Jose preferred swimming and walking, but not running.

Show that Polygon ZSCH
is a Scaled copy of
Polygon XJYN.

Show that Polygon ZSCHis a Scaled copy ofPolygon XJYN.

Answers

As ratio is not given, we cannot prove that they are scaled copy.

Define scaled copy.

Corresponding portions, or parts that are at the same location in relation to the remainder of each figure, exist in both the original figure and its scaled copy. These components could be angles, points, or segments. Polygon 2, for instance, is a scaled-down version of Polygon 1. There is a point in Polygon 2 for each point in Polygon 1.

Given,

Polygon ZSCH is a Scaled copy of Polygon XJYN.

We simply calculate the ratio of the lengths of the two corresponding sides of two polygons to determine the scale factor. The scaling factor is known as such and the polygons are similar if the ratio is the same for all matching sides.

As ratio is not given, we cannot prove that they are scaled copy.

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8188.8
A new washing machine used 3½ gallons of water per full load to clean clothes. If Sam
washed 3% loads of clothes, how many gallons of water would be used?

Answers

Answer: 13.4 oz
Explanation: you would first convert gallons to oz. Then take that number and times it by the percentage, 3%X448=13.44 fluid ounces

HELP. What is the value of y in the equation 2(2y - 12) = 0? (5 points)
1) 4
12 6
3
3) 7
4) 8

Answers

Answer:

6

Step-by-step explanation:

2(2y - 12) = 0

distribute the 2

2·2y - 2·12 = 0

4y - 24 = 0

add 24 to both sides

4y - 24 + 24 = 0 + 24

4y = 24

divide both sides by 4

(4y)/4 = 24/4

y = 6

Andrés desea comprar una computadora y se encuentra qué hay una de escritorio y una portátil con los colores, rojo,azul,verde,rosado y gris ¿cuántas formas tendrá Andrés para comprar la computadora

Answers

5 possibilities (red, blue, green, pink, or grey) divided by 2 options (desktop or laptop) is 10. Andrés has ten options for purchasing the computer.

what is probability ?

The likelihood or chance of an event occurring is measured by probability. It is a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty for the event.By dividing the entire number of possible outcomes by the number of ways an event could occur, one can determine the probability of an occurrence. Since there is only one way to roll a 3 out of six possible outcomes, the probability of rolling a 3 on a fair six-sided die is 1/6. Probability can be used to assess uncertainty surrounding an occurrence and create predictions. It is utilised in a variety of industries, including banking, science, engineering, mathematics, and statistics.

given

Andrés can either get a desktop computer or a laptop. He has five options for the colour of the computer for each selection.

As a result, Andrés has the following options for purchasing the computer:

5 possibilities (red, blue, green, pink, or grey) divided by 2 options (desktop or laptop) is 10. Andrés has ten options for purchasing the computer.

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The complete question is:-  Andrés wants to buy a computer and finds that there is a desktop and a laptop with the colors red, blue, green, pink and gray. How many ways will Andrés have to buy the computer?

2x.67 find the product draw a picture

Answers

Answer:

1.34

Step-by-step explanation:

2x67/100

= 134/100

= 1.34

Herman is drawing a rectangle with a base that is
four times the length of its height. The perimeter of
his rectangle is 60 feet. How long are the base and
height of Herman's Rectangle?

Answers

heightAnswer:

12

Step-by-step explanation:

(x representing the smallest size)

x + 4x = 60

5x = 60

x = 12

the height is 12

to confirm:

12 x 4 = 48

48 + 12 = 60

Is 3/4 greater than 8/12

Answers

Answer: 3/4 is greater than 8/12.

Step-by-step explanation:

To determine whether 3/4 is greater than 8/12, we can compare the fractions by finding a common denominator and then comparing the numerators.

First, let's find a common denominator for 4 and 12, which is 12. We can convert both fractions to have a denominator of 12:

3/4 = (3/4) * (3/3) = 9/12

8/12 = 8/12

Now we can compare the numerators. Is 9 greater than 8? Yes, 9 is greater than 8.

Therefore, 3/4 is greater than 8/12.

look at the image below

look at the image below

Answers

that's what I got, you can confirm if it's correct or not... I'm not sure

have a nice dayʘ‿ʘ

look at the image below

Two parallel lines passing the vertices with red line r at points (c, d) at (2, 10) and (0, b) at (0, 6) and blue line s intercepts (c, 0) at (2, 0) and (0, a) at (0, minus 4) Statements Reasons 1. given 2. application of the slope formula 3. distance from to equals the distance from to definition of parallel lines 4. application of the distance formula 5. substitution property of equality 6. inverse property of addition 7. substitution property of equality Which step of the proof contains an error? A. Step 5 B. Step 6 C. Step 2 D. Step 4

Answers

Answer:

transitive property

Step-by-step explanation:

I really need help, please. I have question one but I can't figure out the rest.


4.3.4 Practice: Solving Systems of Linear Equations by Substitution
Practice
M/J Grade 8 Pre-Algebra Sem 1
Points Possible:10
Name:
Caine Jones
Date:


Your Assignment
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read. (1 point)



2. Write an equation to represent the number of pages Jesse has read.
Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read. (1 point)








3. Write the system of equations using your answers from questions 1 and 2.
(2 points)




4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution. (2 points)




5. Solve the system of equations. Show your work. (2 points)




6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read? (2 points)

Answers

1. The equation to represent the number of pages Amir has read is y = 35x, where x is the number of days Amir has been reading and y is the number of pages he has read.

2. Let's say that Jesse started reading on Saturday, and Amir started reading on Sunday. If x is the number of days Amir has been reading, then Jesse has been reading for x + 1 days. The equation to represent the number of pages Jesse has read is y = 30(x + 1), where y is the number of pages Jesse has read.

3. The system of equations is:

y = 35x

y = 30(x + 1)

4. We will substitute y in the second equation with y from the first equation. We can do this because both equations represent the number of pages each person has read. So we have:

35x = 30(x + 1)

5. Solving for x:

35x = 30x + 30

5x = 30

x = 6

So it will take Amir 6 days to catch up to Jesse.

To find the number of pages they have read, we can use either of the original equations. If Amir has been reading for 6 days, he has read:

y = 35x = 35(6) = 210 pages

If Jesse has been reading for 7 days (one day more than Amir), he has read:

y = 30(x + 1) = 30(7) = 210 pages

So when Amir catches up to Jesse, they will both have read 210 pages.

6. Amir will catch up to Jesse in 6 days. At that time, they will each have read 210 pages.

Answer: i got number 1 :)

6 days

210 pages

Step-by-step explanation:

As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.

Now since he reads 35 pages per day.

Then mathematically;

y = 35x

For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)

To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that

Also; y = 30(x + 1)

Equating the two situations

35x = 30(x + 1)

35x = 30x + 30

35x -30x = 30

5x = 30

x = 30/5

x = 6 days

This means that it will take Amir 6 days to catch Jese.

The number of books they would have read by then is y = 35x = 30(x + 1)

= 35 * 6 or 30(6+1)

= 210

In a random sample of 19 people, the mean commute time to work was 33.7 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a
1-distribution to construct a 80% confidence interval for the population mean μ. What is the margin of error of u? Interpret the results.
The confidence interval for the population mean u is D.
(Round to one decimal place as needed.)

Answers

The average confidence interval, according to our 80% level of confidence, falls between 31.54 and 35.86 minutes for the total population.

Why is there a 95% confidence interval?

You only have a 5% probability of making a mistake with a 95% confidence interval. You have a 10% probability of being mistaken when the confidence interval is 90%. The difference between a 95 percent and 99 percent confidence interval is the width of the interval (for example, plus or minus 4.5 percent instead of 3.5 percent).

Why is a confidence interval important?

Confidence intervals include details about the range in which the true value is likely to fall, as well as the kind and magnitude of the effect that has been proved. Conclusions concerning the can be made as a result of this.

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Point B has coordinates ​(1​,2​). The​ x-coordinate of point A is -11. The distance between point A and point B is 15 units. What are the possible coordinates of point​ A?

Answers

Answer:

We know that the x-coordinate of point A is -11, and that the distance between point A and point B is 15 units. Let's call the y-coordinate of point A "y". Then we can use the distance formula to find the two possible values of y:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1,y1) = (-11,y) is the coordinates of point A, and (x2,y2) = (1,2) is the coordinates of point B. Substituting the values, we get:

15 = sqrt((-11 - 1)^2 + (y - 2)^2)

15 = sqrt(144 + (y - 2)^2)

15^2 = 144 + (y - 2)^2

225 = 144 + (y - 2)^2

81 = (y - 2)^2

y - 2 = ±9

y = 2 ± 9

So the possible coordinates of point A are (-11,11) and (-11,-7).

answer quickly I'll give brainliest

3(x+2)-(2x-7)<(5x-1)-2(x+6)​​

Answers

Answer:

x=+5

Step-by-step explanation:

3(x+2)-2x-7=-(-5x-1)-2(x+6)

We move all terms to the left:

3(x+2)-2x-7-(-(-5x-1)-2(x+6))=0

We add all the numbers together, and all the variables

-2x+3(x+2)-(-(-5x-1)-2(x+6))-7=0

We multiply parentheses

-2x+3x-(-(-5x-1)-2(x+6))+6-7=0

We calculate terms in parentheses: -(-(-5x-1)-2(x+6)), so:

-(-5x-1)-2(x+6)

We multiply parentheses

-(-5x-1)-2x-12

We get rid of parentheses

5x-2x+1-12

We add all the numbers together, and all the variables

3x-11

Back to the equation:

-(3x-11)

We add all the numbers together, and all the variables

x-(3x-11)-1=0

We get rid of parentheses

x-3x+11-1=0

We add all the numbers together, and all the variables

-2x+10=0

We move all terms containing x to the left, all other terms to the right

-2x=-10

x=-10/-2

x=+5

Please help me in confused

Please help me in confused

Answers

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

If you are starting with what you know about a large population and coming to a conclusion about a specific scenario, then which type of reasoning are you using?

Answers

Answer:

Education –> Mortality –> Fertility rates

Education –> Fertility rates

Step-by-step explanation:

Education and fertility is a key role to grow a large population. But if the mortality rate is low families tend to have less children.

pls help with both questions

pls help with both questions

Answers

i can’t see the questions try posting it again!
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