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

-9(x+2)=54 apply the distributive property and simplify ​

Answers

Answer:

x = -8

Step-by-step explanation:

-9 (x+2) = 54

-9x - 18 = 54

-9x = 72

x = -8

Hope this helps :)

Let me know if there are any mistakes!!

Tatiana's book has an area of 88 square inches. what are the length and wide measurements of the book​

Answers

A= l•w

So you can make it in any way! The one I got is 44•4 because

A= l•w
A= 4•22
A= 88

So I guess it depends on the way you want it as long as it equals 88 as long as you length and width are multiplied to make the 88, if you host what I mean!

Drag numbers to show which are closer to -3/5 and 4/5 on the number line.

Answers

Answer:

closest to -3/5 is -4/5. closest to 4/5 is 0.6

Step-by-step explanation:

Answer:

-4/5 in the first

.6 in the second

Step-by-step explanation:

it was correct

(3,2), (3,5)
Find the equation in slope-intercept form of the line passing through the points with the given coordinates

Answers

Step-by-step explanation:

The equation for the slope-intercept is y =3x-4

Match each statement with the correct reasoning in the proof below given: AM = CM BM=DM

Answers

Answer: I think it’s cm = b, I think your image is very hard to see

Step-by-step explanation:

The given quadrilateral is a parallelogram.

What is a parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

The proof is as follows;

          STATEMENTS                                       REASONS

1)  AM = CM and BM = DM                                    Given

2) m ∠ AMB = m ∠ DMC and

m ∠ AMD = m ∠ BMC                          Definition of Vertical angles

3) Δ AMB ≅ Δ DMC and

Δ AMD ≅ Δ BMC                                 By SAS congruency criterion

4) AB = CD and

BC = AD                                                BY CPCTC

5) ABCD is a parallelogram                If both pairs of opposite sides of a                                      

                                                           quadrilateral are congruent then it is    

                                                                           a parallelogram.

Hence, proved, ABCD is a parallelogram.

For more references on parallelograms, click;

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Help ASAP!! I’m confised and need help. What is angle 1 in the picture called?? Thanks!!

Answers

Answer:

obtuse angle

Step-by-step explanation:

as it is angle 1 is greater than 90

Solve for u

U/9= 4/6

Answers

the answer is 6............

Answer:

U=6

Step-by-step explanation:

U/9= 4/6

Both side multiply 9

U=4*9/6

U=36/6

U=6

During a film festival, the first film
ticket is priced at $16, and each
additional ticket is $11. If Rico spends
$71, then how many film tickets did
he purchase?

Answers

Answer:

3

Step-by-step explanation:

deccweljvrl;ej e

5r+r= what dose this equal

Answers

Answer:

Step-by-step explanation:

5

In simplest form what is 2/7 + 2/5

Answers

24/35.................

Please, please, please, please help

Answers

Answer:

55%

Step-by-step explanation:

I divided 22 by 40 to get the percentage she got wrong

hope this is correct and helps :)

Answer:

The percentage is 55%

What percent is 45 of 72?

Answers

Answer:

32.4

32.4 is 45% of 72

Step-by-step explanation:

Solution:

What is 45% of 72?

Y is 45% of 72

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 45% * 72

Converting percent to decimal:

p = 45%/100 = 0.45

Y = 0.45 * 72

Y = 32.4

Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Debnil have?

Answers

Answer:

2 table spoons

Step-by-step explanation:

you have six teaspoons, and a ratio of 3:1, so if you use that, then times the three by two, and theres your six teaspoons, and then that means 2 table spoons!

What does -8/9 × -6/7 really equal

Answers

Answer:

16/21

Step-by-step explanation:

It equals 16/21. If you actually multiply it, you should come out with 48/63. Simplify it to get 16/21

50 POINTS PLEASE HELP! Write g (x)=2f (x) as a piecewise function f (x) is defined as follows:
SEE PICTURE

Answers

Step-by-step explanation:

Since g(x) = 2f(x), we apply scalling parallel to the y-axis by a factor of 2 onto f(x).

For x + 6 if x < 2,

It becomes 2(x + 6) if x < 2.

We have 2x + 12 if x < 2.

For x² + 4x - 15 if 2 <= x <= 5,

It becomes 2(x² + 4x - 15) if 2 <= x <= 5.

We have 2x² + 8x - 30 if 2 <= x <= 5.

For 5 - x if 5 < x,

It becomes 2(5 - x) if 5 < x.

We have 10 - 2x is 5 < x.

The answer is the 1st option.

The sum of two numbers is -35. The difference of the two numbers is -29. What are the two numbers?

Answers

Answer:

22  on now

Step-by-step explanation:

11+11

A 30- foot tree broke from its base and fell against a house. If the tree touches the house at a height of 21 feet, how far is the base of the tree from the house? Leave your answer in the simplest radical form.

Answers

Oh, well if it isn’t slope! I used to do this don’t cheat kiddo figure it out

Identify the first 4 terms in the arithmetic sequence given by the explicit formula f(n) = 8+3(n-1)

Answers

This could be wrong but here is my answer:

8, 11, 14, 17

Two number cubes are rolled sequentially. What is the probability that the first number cube shows a 3 or a 4 and the second number shows an odd number?

Answers

Answer:

then they become even

Step-by-step explanation: they stay even

Leonard has an enclosed glass cabinet to display his collectibles. It is a rectangular prism with glass on all sides, except for the base. The cabine is 5 ft. tall, 1 ft. wide, and 2 ft. long. How many square feet o glass is this display case made​

Answers

Answer:

2 feet

Step-by-step explanation:

For parallelogram ABCD, find m<1

Answers

Answer:

b

Step-by-step explanation:

the answer is

the angel m<1= 36°

The measure of angle m<1= 36°.

What is a parallelogram?

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

WE are given that angle CAD = 36 degree

So, we know that parallelogram has parallel opposite sides.

Thus according to alternate interior angle we can say that;

angle CAD = angle m<1 = 36

therefore, the measure of angle m<1= 36°

Learn more about parallelogram;

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pls help pls pls hii lol bye hahaha math fractions lol. videostar

Answers

3/15 because 3 x (5) =15

what fractional part is black?

Answers

Answer:

Step-by-step explanation:

A =5/8. B=2/4. C=4/10. D= 3/6. Hope this helped!

x/5 + 20 = 20.1

5x + 20 = 20.1

Answers

Answer:

No solution

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

a) The value of x in equation (a) is x = 0.5.

b) The value of x in equation (b) is x = 0.02.

Let's solve the equations for the value of x:

a. X/5 + 20 = 20.1

Step 1: Subtract 20 from both sides to isolate the term with x:

X/5 = 20.1 - 20

Step 2: Simplify the right side:

X/5 = 0.1

Step 3: To solve for x, multiply both sides by 5:

X = 0.1 * 5

X = 0.5

So, the value of x in equation (a) is x = 0.5.

b. 5x + 20 = 20.1

Step 1: Subtract 20 from both sides to isolate the term with x:

5x = 20.1 - 20

Step 2: Simplify the right side:

5x = 0.1

Step 3: To solve for x, divide both sides by 5:

x = 0.1 / 5

x = 0.02

So, the value of x in equation (b) is x = 0.02.

To know more about value:

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Complete question is:

Solve the given equations for the value of x:

a. X/5 + 20 = 20.1

b. 5x + 20 = 20.1

50 POINTS FOR THIS I WILL ALSO MARK BRAINLIEST

Points A and B have opposite x-coordinates but the same y-coordinates.

On a coordinate plane, point A is 2 units to the left and 3 units up. Point B is 2 units to the right and 3 units up.

How many units away are each of the points from the y-axis?
2
3
4
5
PLZ HURRY ITS TIMED

Answers

Answer:

I think 5

Step-by-step explanation:

Davita can jog 2,000 feet in 4 mins. If she jogs at the same rate, how many feet can she jog in 8 mins?

2,000 ft.
3,000 ft.
4,000 ft.

Answers

The answer is 4,000 ft. Hope it helped you out

Find c. Round to the nearest tenth. Laws of sines

Answers

9514 1404 393

Answer:

  c ≈ 56.3 cm

Step-by-step explanation:

I find it convenient to turn the given equations upside down. Then you just need to multiply by sin(C) to get the solution.

  c/sin(C) = b/sin(B)

  c = b·sin(C)/sin(B) = (27 cm)sin(102°)/sin(28°)

  c ≈ (27 cm)(0.978/0.469)

  c ≈ 56.3 cm

Help me please guys.

Determine the ratio in the picture below

Answers

Answer:

Sin Z=30/50 or 3/5

Step-by-step explanation:

To figure out Sin Z, you need the formula which is Sin=o/h

O=opposite

H=Hypotenuse

To find opposite, you locate the angle(angle Z) and you draw an arrow that is opposite of the angle. To find hypotenuse, you pinpoint the right angle and you find the degree that it is opposite of.

O=30

H=50

Finally, you simplify 30/50 to get 3/5ths. Hope this helps you out!

Round to the nearest hundredth 54.19765

Answers

Answer:

54.20

Step-by-step explanation:

When you round you look at the number to the right of the number you're rounding. So you look at the 7. If it is larger than five (in this case it is) you round the number up.

54.20 hope you get a good grade

witch number is composite 5,2,11,9

Answers

Answer:

9 is the composite number.

Step-by-step explanation:

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

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