two balls are chosen randomly from an urn containing 5 white, 3 black, and 2 orange balls. suppose that you win $2 for each black ball selected and you lose $1 for each white ball selected. what is the expected amount you will win from this game

Answers

Answer 1

Answer:

2.601

Step-by-step explanation:

Given that:

White balls, W = 5

Black balls, B = 3

Orange balls, O = 2

Total = (5 + 3 + 2) = 10

Winning = $2 for each black ball chosen

Winning = - $1 for each white ball

Sample space for making 2 selections ; order does not matter :

{WW, WO, WB, OO, OB, BB}

WW __WO __WB __OO ___OB __BB

-2 ____ - 1 __ 1 ____ 0 ____ 2 ___ 4

WW = 5C2 / 10C2 = 0.2222

WO = (5C1 * 2C1) / 10C2) = 0.222

WB = (5C1 * 3C1) / 10C2) = 0.3333

OO = (2C2) / (10C2) = 0.0222

OB = ((2C1) * (3C1)) / 10C2 = 0.1333

BB = 3C2 / 10C2 = 0.0667

Expected winning = Σx * p(x)

(-2 * 0.222) + (-1 * 0.222) + (1 * 0.333) + (0 * 0.022) + (2 * 0.133) + (4 * 0.667)

= 2.601


Related Questions

at the local flea market, nike and reebok sneakers were being sold. all bike sneakers sold for $75.00 and reebok’s were being sold for $65.00. if 180 people bought sneakers for a total of $12,550, how many of each pair were sold?

Answers

Answer:

69.72

Step-by-step explanation:

Thats the answer if its not plz tell me

Josh's sink leaks 12 of a gallon of water in 14 of an hour. How many
gallons of water does Jacob's sink leak in 2 days?

Answers

Answer: is 14,400 maybe hopefully who knows ‍♂️

if 8 equals 40 grams how much is 64 grams

Answers

Answer:

320 grams

Step-by-step explanation:

First you find out how much 1 bat ate

40 divided by 8 = 5

So each bat ate 5 insects

Multiply 5 by the 64 bats

64 * 5 = 320

If the original parabola f(x) = x2 were transformed into f(x) = 4(x - 3)2 +1, what changes took place?
А
The parabola would be vertically stretched by a factor of 4, translated right 3 and up 1.
B
The parabola would be vertically compressed by a factor of 4, translated right 3 and down 1.
С
The parabola would be vertically stretched by a factor of 4, translated left 3 and up 1.
D
The parabola would be vertically compressed by a factor of 3, translated left 3 and down 1.

Answers

Answer:

A

Step-by-step explanation:

for which set of problilities would events a and b be independent

Answers

Answer:

Events A and B are independent if and only if P(A and B) = P(A)P(B). If you know these probabilities, you can check to see if this holds.

Step-by-step explanation:

:)

Joey has 10 packs of gum. 1/5 of his pack are spearmint. How many of his packs are spearmint?
A. 2 packs
B. 10 packs
C. 1 pack
D. 5 packs​

Answers

Answer:

A. 2 packs

Step-by-step explanation:

The answer is : A 2packs

To ride a horse at the state fair costs $2 per minute. Paolo buys a 16-minute ride. Next time, he plans to ride 25% longer. How much will he pay?

Answers

Answer: $2.50

Step-by-step explanation: 2/16 to find what it cost for one minute. 16*1.25 because he is riding 25% more. (16*1.25) *.125

.125 if the amount for 1 minute

Decrease £14120 by 4% Give your answer rounded to 2 DP.

Answers

Answer:

(14120/100)*96 = £13,555.20

Step-by-step explanation:

Answer:

£13,555.20

Step-by-step explanation:

14120*4=56480

56480+14120=70,600

then 70,600+20

on a cauculaiter it will give you 70,620 but it is 70,600.20

then 14,1000.50-1,555.30=13,55.20

hope it is helpfull

5. Select all the expressions that represent the area of the shaded rectangle.
A. 3(10 - c)
C
B. 3(c - 10)
3
C. 10(0 - 3)
D. 10(3-0)
10
E. 30 - 30
F. 30 - 100

Answers

Answer:

Step-by-step explanation:

what shaded rectangle?

Dora and boots are decorating cupcakes for a bake sale. Dora already has 25 cupcakes decorated and can decorate 10 cupcakes per hour. Boots has no cupcakes decorated yet but can decorate 15 cupcakes per hour. When will Dora and boots have the same number of cupcakes decorated and how many will they have

Answers

Answer: after 5 hours, 75 cupcakes

Step-by-step explanation:

Your answer
1 point
Practice Question #7: There are 24 students in Ms. Watters Social Studies
class. 5/8 of these students earned an A on the geography unit
assessment. How many students earned an A? (enter only the number) *

Answers

Answer: 15

Step by step explanation: 5 Divided by 8 then you multiply by 24. The method I just explained is known as cross multiplication!

Evaluate the following expression if x=4 28x - 9 (2x+ 6)​

Answers

Answer:

-14

Step-by-step explanation:

substitute 4 for x

28(4) - 9 (2(4)+ 6)​

multiply

112-9(8+6)

add numbers

112-9(14)

multiply

112-126

subtract

-14

Find all zeros of the equation 0 = x ^ 2 - x - 12

Answers

Answer:

x=4,-3

Step-by-step explanation:

Find the roots of  0 = x ^2 − x − 12  by solving for  x .

Answer:

3 zeros

Step-by-step explanation:

A car manufacturer produced 5.000 cars for a limited edition model Dealers sold all of these cars at mean price of $36,000 with a standard deviation of $3,000. Suppose we were to take random samples of 9 of these cars and calculate the sample mean price for each sample. Calculate the mean and standard deviation of the sampling distribution of .

Answers

Answer: Mean = $36,000 and standard deviation = $1000.

Step-by-step explanation:

The mean and the standard deviation of the sampling distribution of the sample mean:

[tex]Mean=\mu\\\\Standard\ deviation = \dfrac{\sigma}{\sqrt{n}}[/tex] , where n =sample size.

Here, we are given

[tex]\mu=\$36000,\ \ \sigma=\$3,000[/tex]

n= 9

Then, the mean and the standard deviation of the sampling distribution of the sample mean:

[tex]Mean=\$36000,\ \ Standard\ deviation=\dfrac{3000}{\sqrt{9}}=\dfrac{3000}{3}=\$1000[/tex]

Hence, Mean = $36,000 and standard deviation = $1000.

n times 5 is equal to 24

word in equation and solve for variable

Answers

Step-by-step explanation: Remember that "times" mean multiply.

So reading the problem from left to right, we have n times 5,

that's n multiplied by 5 or 5n, is means equals, 24.

So we have 5n = 24.

We want to solve our equation for n so we want to get

n by itself on the left side of the equation.

Since n is being multiplied by 5, we need to divide both sides

of the equation by 5 and we have n = 24/5.

Don't be nervous to check your answer back in

the original equation even if it is a fraction.

Which of these equations are true when the value of y is 27?
I. −9 + y = 18
II. −18 + y = −45
III. 5y = 135
IV. 2y = 29

Answers

Answer:

I. -9 + y = 18

Step-by-step explanation:

Double-check to see if I was correct

The equations I. and III. satisfies the condition when y = 27

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The value of y = 27

So , substituting the value of y in all of the given equations , we get

I.  

-9 + y = 18

when y = 27

Substituting the value of y , we get

-9 + 27 = 18

18 = 18

So , I. satisfies the condition and the equation is TRUE

II.

-18 + y = 45

when y = 27

Substituting the value of y , we get

-18 + 27 = 45

9 ≠ 45

So , II. does not satisfy the condition and the equation is FALSE

III.

5y = 135

when y = 27

Substituting the value of y , we get

5 x 27 = 135

135 = 135

So , III. satisfies the condition and the equation is TRUE

IV.

2y = 49

when y = 27

Substituting the value of y , we get

2 x 27 = 29

54 ≠ 29

So , IV. does not satisfy the condition and the equation is FALSE

Hence , the equations I. and III. are TRUE

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Which graph represents the cost of hamburgers at Bulky's Store? Explain

Answers

Answer:

Graph B

Step-by-step explanation:

It seems more realistic i dont think 10 hamburgers would be 3 dollars

Bella and Zoe went blueberry picking. Their blueberries weighed a total of 23.4 ounces. If Bella's
blueberries weighed 11.9 ounces, how many ounces (z) did Zoe pick? *

Answers

Answer:

Zoe picked 11.5 ounces

Step-by-step explanation:

23.4 - 11.9 = 11.5 ounces

5r+r= what dose this equal

Answers

Answer:

Step-by-step explanation:

5

P(t) =8000(1.08)^t
What is the year the population reaches 11755

Answers

Answer:

Step-by-step explanation:

Your answer

P(t) = 8000(1.08)^t= 11755

.. ..... (1.08)^t= 1.469375

........ t = 5

Mark it as Brainlist answer. Follow me.

What is the definition of Antigen?


Please help

Answers

Answer:

a toxin or other foreign substance which induces an immune response in the body, especially the production of antibodies.

For a two-day rental at the surf shop, it cost $55 to rent a surf board and $70 to rent a paddle board. On a certain weekend, the surf shop rented 51 total surf boards and paddle boards and made $3300. How many paddle boards were rented?

Answers

Answer:

7 paddleboards

Step-by-step explanation:

In order to solve this, you have to find the total amount that they earned by renting surfboards.

To find this you multiply 55 x 51 =2,805.

Then you use this factor and subtract it from the total amount they earned.

$3,300 - $2,805 = $495.

This shows us that they earned a total of $495 from renting out paddle boards. To find out how many paddle boards were rented out you have to divide $495 by $70 which is how much they charge to rent paddle boards.

495/70 = 7

In conclusion, they rented out 7 paddle boards.

uppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that the weights of filled bags are approximately normally distributed. A random sample of 10 bags yields the following data (in oz): 15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10 On the basis of this data, can you conclude that the mean fill weight is actually less than 16 oz? Let LaTeX: \alpha=5\%α = 5 %. What would be the appropriate null and alternative hypothesis?

Answers

Answer:

Null, H0: μ ≥ 16

Alternative ; H1: μ < 16

reject H0

Step-by-step explanation:

Null, H0: μ ≥ 16

Alternative ; H1: μ < 16

To compute the test statistic :

We need the sample mean and sample standard deviation :

15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10

Using calculator :

Sample mean, m = 15.887

Standard deviation = 0.13

Test statistic :

(m - μ) / s/sqrt(n)

(15.887 - 16) / 0.13/sqrt(10)

-0.113 / 0.0411096

= - 2.749

Tcritical at 95%

Tn-1, 0.025

T10,0.025 = 2.262

Since the test statistic value is less than the critical value, reject H0

Which is equivalent to square root 8 to the third power

Answers

Answer:

Step-by-step explanation:

IMPORTANT: ∛8ˣ is not the square root of 8³.  ∛ means cube root.

∛x = x^(⅓)

Questions:
1. If the run of a ramp increases and the rise stays the same, how does the slope of the ramp change?

Answers

There is an exponential growth therefore the slope rises.

9514 1404 393

Answer:

  slope decreases

Step-by-step explanation:

The slope of a ramp is directly proportional to the rise and inversely proportional to the run. When the run increases, the slope decreases.

NEED HELP ASAP PLEASE HELP

Answers

Answer:

the second one or b. :)

Step-by-step explanation:

You roll a 6-sided die.
What is P(even)?
Write your answer as a percentage.

Answers

3/6 50% ? I believe so if I’m wrong sorry but I’m pretty sure it’s 50% hope this helped

help please! look at question

Answers

615.75cm is the area

Randy has 53 inches of ribbon that he cuts into 6 pieces of equal length. What is the equal length of each piece of ribbon in inches

Answers

Answer:

9

Step-by-step explanation:

The reason being 9 is because the keyword was equally so if you need to add an additional inch, it will make it equal.

4) The length of a rectangle is 7 inches more than the width. The perimeter of the rectangle
is 178 inches. Find the width of the rectangle.

Answers

Answer:

41 inches

please mark brainliest

Step-by-step explanation:

l= 7+w

perimeter = 2(l+w) =2(7+w +w)= 2(7+2w)= 14+ 4w

178= 14+4w

4w =178-14= 164

w= 164/4 = 41 inches

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