You pay $8 to play the following game of chance. There is a bag containing 15 balls, 7 are red, 6 are green and the rest are yellow. You will win $14 if you draw a yellow ball, and $11 if you draw a green ball. What is the expected value of the game?

Answers

Answer 1

Answer:

Green ball. $11

Step-by-step explanation:

Let's see.

15 balls. 7 are red. 6 are green. rest are yellow. That means there are 2 yellow balls.

Since there are more greens than yellows, you have a better chance of getting a green. That means you have a higher chance of getting $11

Answer 2

The total expected value of the game is $2 if you pay $8 to play the following game of chance.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

You pay $8 to play the following game of chance. There is a bag containing 15 balls, 7 are red, 6 are green and the rest are yellow.

Yellow balls = 15 - 7 - 6= 2

Probability of yellow = 2/15

Probability of green = 6/15

Expected value of the game = 6(2/15) + 3(6/15) = $2

Thus, the total expected value of the game is $2 if you pay $8 to play the following game of chance.

Learn more about the probability here:

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Related Questions

Help me with this I dont get it.

Answers

Answer:

(-infinity, 1)

Step-by-step explanation:

Find the area of the shaded segment of the circle.

Answers

3.14 is the answer correct
3.14 is the correct answer

josh earned 15% extra points on his 40 point assignment, how many total points did he earn?

Answers

Total points : 46
15% of 40 is 6
40 + 6 = 46
To double check:
46/40 = 1.15 = 115%

Which expression converts 100 inches per minute to feet per minute?
100 inches
1 minute
100 inches
1 minute
60 minutes
1 hour
1 hour
60 minutes
100 inches
1 minute
1 foot
12 inches
12 inches
1 foot
100 inches
1 minute

Answers

Answer:

It's not listed precisely, but basically, it would be 1 foot / 12 inches

Step-by-step explanation:

100 inches is the correct answer

Which could be the function graphed below?


Answers

Answer:

Probably A, or 1

Step-by-step explanation:

You see, a square root function actually looks like a sideways parabola, just missing one side because of the domain of a square root. Now, the reason I can tell them apart is because our vertex is below the y-axis, and the only equation that has a negative y-intercept is the first one, or A.

Hope this helps!

The answer will be A or 1

Oliver removed 56 marbles from his marble
box and put them into 8 equal groups. How
many marbles were in each group?

Answers

ANSWER:
Total marbles =56
Number of groups =8
Therefore number of marbles in each group =56/8
= 7 marbles in each group.
HOPE IT HELPS!!!!
PLEASE MARK BRAINLIEST !!!!
56/8=7 so then there would be 7 groups of marbles

Solve #10 asap please.

Answers

Answer:

x=1

Step-by-step explanation:

1. add 7/3x and 1/3x

2. subtract 5/3x because its the lowest number with a variable and you'll get 3/3x = 1

3. divide 3/3 from both sides (3/3) equals 1, so its 1/1 which is 1

4. x=1

PLEASE HELP ME QUICK EXPLANATION AND ANSWERS PLEASE IF ANY NONSENSE ANSWED YOU WILL BE REPORTED

Answers

Answer:

1. 1:4

2. 4:1

3. 3:5

4. 2:3

5. 1:3

6. 1:10

7. 1:2

8. 3:2

Lines a and b are horizontal and parallel to each other. Line a contains points L and M and line b contains points O and N. Line c is diagonal and intersects line a at point X and line b and point Z. It also contains points H and G. Line d is diagonal and intersects line a at point X and line b at point Y. It also contains points J and K. Triangle X Y Z is created by the lines.

Which represents an exterior angle of triangle XYZ?


∠LXZ

∠JXM

∠JXZ

∠HXJ

picture below.

Answers

Answer:

jxz

Step-by-step explanation:

just did the question on edge

Answer:

jxz

Step-by-step explanation:

complete the table for 15 points.​

Answers

Answers:

20%, 0.2

1/4, 0.25

50%, 0.5

2/3

Answer:

Step-by-step explanation:

Fraction: 1/4 since 25% is 25% of 100%

Fraction: 1/3

Percentage: 1/5 = 0.2 = 20%

Percentage: 1/2 = 0.5 = 50%

Decimal: 20% = 0.2

Decimal: 25% = 0.25

Decimal: 50% = 0.5

what is the value of x?
A.39
B.41
C.26
D.17​

Answers

Answer:

The answer is B.

Step-by-step explanation:

You have to use Pythogorean Theorem, c² = a² + b² where c is the hypotenuse and a,b is the side lengths :

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

Let a = 40,

Let b = 9,

[tex] {c}^{2} = {40}^{2} + {9}^{2} [/tex]

[tex] {c}^{2} = 1600 + 81[/tex]

[tex] {c}^{2} = 1681[/tex]

[tex]c = \sqrt{1681} [/tex]

[tex]c = 41 \: units[/tex]

*Take note, hypotenuse will always be the longest length among the 3 lengths.

*Pythogorean Theorem can only applied in a right-angle triangle.

MULTIPLE CHOICE:
What is the discriminant of the quadratic equation 2x^2+8x−5=0

A. 104
B. -24
C. -104
D. 24

Answers

Answer:

104

Step-by-step explanation:

2x^2+8x−5=0

This is written in the form

ax^2 + bx+c

a =2  b = 8   c=-5

The discriminant is

b^2 -4ac

8^2 - 4(2)(-5)

64 + 40

104

The discriminant is 104

Please find the VOLUME of this figure... Write the formula and plug in the values... Write your answer with units and box your answer

ALSO

What is this shape called

Answers

Answer:

hope this is correct

Are extraneous solution always negative numbers

Answers

Answer: i would say no there not always negative

Answer:

Step-by-step explanation:

Concrete is made by mixing cement, sand, and
gravel in the ratio 5:9:13. How much cement
is nceded to make 324 ft of concrete?

Answers

Answer:

60

Step-by-step explanation:

Sum the parts of the ratio, 5 + 9 + 13 = 27 parts

Divide the amount of concrete by 27 to find the value of one part of the ratio.

324 ÷ 27 = 12 ← value of 1 part of the ratio , thus

5 parts = 5 × 12 = 60 ← cement

9 parts = 9 × 12 = 108 ← sand

13 parts = 13 × 12 = 156 ← gravel

To make 324 ft of concrete, we would need 60 ft of cement.

We have,

Given the ratio of cement, sand, and gravel as 5:9:13, we can consider the total number of parts in the mixture as 5 + 9 + 13 = 27 parts.

Now,

27 parts = 324 ft

Divide both sides with 27.

1 part = 324/27 ft

1 part = 12 ft

Now,

1 part = 12 ft

Multiply 5 on both sides.

5 parts = 5 x 12 ft

5 parts = 60 ft

Therefore,

To make 324 ft of concrete, we would need 60 ft of cement.

Learn more about ratios here:

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The function C(t) = 100. e-0.0001212 describes how to find the percentage of
carbon-14, c(t), remaining in an object after tyears.
According to this information, what was the percentage of carbon-14
remaining in an object after 55 years? (Round your answer to the nearest
hundredth.)
O A. 0.94
O B. 99.34
O C. 93.56
O D. 0.99​

Answers

Answer:

D

Step-by-step explanation:

Option 3
Option 4
A tree house is 10 feet up in a tree. A ladder that leans against the tree and
leads to the tree house door is 12 feet long. How far away from the base of
the tree is the bottom of the ladder? Draw a picture and solve. Round your
answer to the nearest tenth.

Answers

Answer:

6.63 ft

Step-by-step explanation:

In this case we use pythagora's theorem which is

[tex]hyp^{2}[/tex] = [tex]adj^{2}[/tex] + [tex]opp^{2}[/tex]

in this case, the hypotenuse (hyp) is the length of the ladder, the opposite (opp) is the height of the tree house and, the adjacent (adj) is the distance of the ladder's bottom to the base of the tree.

hpy = 12 ft

opp = 10 ft

adj = ?

substituting into the equation above, we have

[tex]12^{2}[/tex] = [tex]adj^{2}[/tex] + [tex]10^{2}[/tex]

144 = [tex]adj^{2}[/tex] + 100

144 - 100 = 44 = [tex]adj^{2}[/tex]

the image is shown below

adj = [tex]\sqrt{44}[/tex] = 6.63 ft

* this is pretty difficult for me , provide details if necessary * // ANSWER ASAP //

Answers

Answer:

A.

Step-by-step explanation:

1 radian = 180/π

So

Multiplying both sides by 25π/18

We'll get,

25π/18 (r) = (180/π)×(25π/18)

= (180×25)/18

= 10×25

= 250 degrees

What type of study would you conduct if you wanted to know how many
miles a week on average students on the school's cross country team run
during the summer? Explain your reasoning. *
Your answer

Answers

A survey of the entire population of students on the cross country team. That way, all the info you get back is 100% accurate as everyone participated and gave you an exact number of hours. With this info, you can find the average

Dr. Stein bought 30 notebooks, 60 pencils and 300 erasers for his class to make identical packages with some notebooks, some pencils and some erasers for his students. He used everything he bought, and every student got a package. What is the largest number of students Dr. Stein can have in his class?

Answers

There are 30 students

The key word is "identical." If all students received identical packages, then Dr. Stein could have handed out 30 packages. He has a maximum of 30 notebooks to hand out, so if each package has one notebook, he can hand out 30 packages. Each of those 30 packages will also have 2 pencils and 10 erasers.

ANSWER: There are 30 packages maximum so he can have a maximum of 30 students.

Hope this helps! :)

Please give me brainly

Thankyou!

Work out the size of angle x

Answers

Answer:105°

Solution,

=105°( being corresponding angles)

Hope it helps

Good luck on your assignment

Answer:

Step-by-step explanation:

x=105 degrees corresponding angles are equal

Part A: What is the value of 2x if 4x + 6 = 2x – 12?




Part B: What is the value of x – 3 if 24 = 6x – 18?

Answers

Answer:

Step-by-step explanation:

A) 4x + 6 = 2x - 12

Subtract 6 from both sides

4x + 6 - 6 = 2x - 12 -6

4x = 2x - 18

Subtract 2x form both sides

4x - 2x = 2x - 18 - 2x

2x = -18

B) 24 = 6x - 18

6x - 18 = 24

6x - 6*3 = 24

6(x - 3) = 24

Divide both sides by 6

[tex]\frac{6(x - 3)}{6}=\frac{24}{6}\\\\[/tex]

x - 3 = 4

Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and a half gallons. The water comes in 32-fluid ounce (quarter-gallon) containers. Which algebraic inequality represents this situation? One-fourth x + 5 and one-half greater-than-or-equal-to 20 One-fourth x + 5 and one-half less-than-or-equal-to 20 One-fourth x + 5 and one-half greater-than 20 One-fourth x minus 5 and one-half greater-than 20

Answers

Answer:

Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and a half gallons. The water comes in 32-fluid ounce (quarter-gallon) containers.

Which algebraic inequality represents this situation?

(correct) One-fourth x + 5 and one-half greater-than-or-equal-to 20

One-fourth x + 5 and one-half less-than-or-equal-to 20

One-fourth x + 5 and one-half greater-than 20

One-fourth x minus 5 and one-half greater-than 20

Step-by-step explanation:

The first one is correct.

Answer:

it's A :P

One-fourth x + 5 and one-half greater-than-or-equal-to 20

Step-by-step explanation:

Simplify this algebraic expression completely.
10y - 3(+ 5)
A. 7y + 5
B. 7y + 2
C. 7y - 5
D. 7y - 15

Answers

Is it a because if you take 3 away for 10y that equals 7y and then you plus the 5
The answer is letter A

Tina is organizing a contest for her friends. The winner of the contest can pick two movie tickets out of a bag without looking. The bag contains movie tickets to Cinema 16 and movie tickets to Cinema 25. There are five more Cinema 25 tickets than Cinema 16 tickets. Write and simplify an expression that represents the probability that the winner will pick two Cinema 16 tickets. What is the probability that the winner picks two Cinema 16 tickets if there are 8 Cinema 16 tickets in the bag before her first pick? Round your answer to the nearest hundredth.

Answers

Answer:

3.400

Step-by-step explanation:

Cinema 25        Cinema 16  

   5+

2+ 5 =7

the people mostly pick Cinema 25

7/2 =  3.5

Answer: 3.40 x 10

What difference is in cosine than sine

Answers

Answer:

One of the most important differences between the sine and cosine functions is that sine is an odd function (i.e. while cosine is an even function (i.e. . Sine and cosine are periodic functions; that is, the above is repeated for preceding and following intervals with length .

Step-by-step explanation:

Hope that helps

The bottom is the same it’s just at the top for sine you use Opposite/Hypotenuse while for cosine you use Adjacent/Hypotenuse

A coin is tossed then a letter from the word incredible is chosen at random. What is the probability of getting heads, then a vowel?

Answers

Answer:

https://brainly.com/question/14691406

Step-by-step explanation:

For the graph, what is a reasonable constraint so that the function is at least 200? graph of y equals minus 2 times the square of x plus 30 times x plus 200 −5 ≤ x ≤ 20 0 ≤ x ≤ 15 x ≥ 0 All real numbers

Answers

Answer:

The correct constraint is:

0 ≤ x ≤ 15

Step-by-step explanation:

The function given to us in the question is:

y = -2x² + 30x + 200

It is given that the function is at least 200, we can write is as:

-2x² + 30x + 200 ≥ 200  ⇒  Equation (i)

To find the constraint, replace sign with = sign and solve for x:

-2x² + 30x + 200 = 200

-2x² + 30x = 0

x(-2x + 30) =0

x = 0         ,      -2x + 30 = 0

x = 0         ,      -2x = -30

x = 0         ,       x = -30/-2

x = 0         ,       x = 15

So the end values of constraint are 0 and 15.

Take any value between 0 and 15 and substitute in equation (i) to see whether it satisfies the equation or not.

-2x² + 30x + 200 ≥ 200

Substitute x = 5 in the equation:

-2(5)² + 30(5) +200  ≥  200

-50 + 120 +200 ≥ 200

270 ≥ 200

As the equation satisfies. it means that the solution lies between 0 and 15, including the end values.

Hence.

0 ≤ x ≤ 15

Answer:

0 ≤ x ≤ 15

Step-by-step explanation:

got it right on flvs

Please find the SURFACE AREA of this figure... Write the formula and plug in the values... Write your answer with units and box your answer

Answers

Answer:

124(cm)^2

Step-by-step explanation:

total surface area of a cuboid=[tex]2(LB+BH+HL)[/tex]

length=7cm

Breadth=5cm

Height=4cm

2{(2*7)+(5*4)+(4*7)}

2{14+20+28}

2*62

124(cm)^2


Question 1
Here is the base of a prism.


a. If the height of the prism is 5 cm, what is its surface area? What is its volume?



b. If the height of the prism is 10 cm, what is its surface area? What is its volume?


c. When the height doubled, what was the percent increase for the surface area? For the volume?


Answers

Answer:

A). Surface area = 222 cm²

Volume = 180 cm³

B). Surface area = 375 cm²

Volume = 360 cm³

C). % increase in surface area = 67.57%

% increase in volume = 100%

Step-by-step explanation:

In the figure attached base of a prism has been given.

A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)

Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8

                                       = 30

Area of the base = 8×5 - 2×2 = 36 cm²

Surface area of the prism = 30×5 + 2×(36)= 222 cm²

Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off

                                  = 8×5×5 - 2×2×5

                                  = 200 - 20

                                  = 180 cm³

B). Surface area of the prism if it's height is 10 cm,

Surface area = 30×10 + 2×(36) = 372 cm²

Volume of the prism = 8×5×10 - 2×2×10

                                   = 400 - 40

                                   = 360 cm³                                      

C). Increase in surface area = 372 - 222 = 150 cm²

% increase in the surface area = [tex]\frac{150}{222}\times 100[/tex] = 67.57%

Increase in volume = 360 - 180 = 180 cm³

% increase in volume = [tex]\frac{180}{180}\times 100[/tex] = 100%

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