You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game?
$8.75
$12.50
$80
$10.25​

You Spin Each Spinner Once. You Get $50 If You Spin A 2 And A Vowel. You Get $25 If You Spin A 2 And

Answers

Answer 1

The expected value of the game is $8.75.

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

The expected value is the sum of each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.

The probability of spinning a 2 and a vowel is: [tex]\frac{1}{4} \times \frac{2}{8} = \frac{2}{32}[/tex].Thus, [tex]\frac{2}{32}[/tex] probability of getting $50.

The probability of spinning 2 and a consonant is: [tex]\frac{1}{4} \times \frac{6}{8} = \frac{6}{32}[/tex]Thus, [tex]\frac{6}{32}[/tex] probability of getting $25.

The probability of spinning 1 and a vowel is: [tex]\frac{3}{4} \times \frac{2}{8} = \frac{6}{32}[/tex].Thus, [tex]\frac{6}{32}[/tex] probability of getting $5.

32 - (6 + 6 + 2) = 18, thus, [tex]\frac{18}{32}[/tex] probability of earning $0.

The expected value is:

[tex]E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)[/tex]

[tex]E = \frac{100 + 150 + 30}{32}[/tex]

[tex]E = \frac{280}{32}[/tex]

[tex]E = 8.75[/tex]

The expected value of this game is of $8.75.

A similar problem is given at https://brainly.com/question/24961584


Related Questions

PLEASE HELP ME ITS ALGEBRA THANK YOUUUU

Answers

Answer:

All you have to do is divide 896 ÷ 32 which is 28 and multiply is by 3 since its 3 more nights and the answer is 84 centimeters.

896/32=28
28*3=84
Hope this is correct!

due at 5:30 help asap!! look at the photo

Are the linear expressions equivalent? Drag the choices to the boxes to correctly complete the table

Answers

top one is equivalent
bottom one is not equivalent

Answer:

First one is equivalent second one is not equivalent

Step-by-step explanation:

Graph the ordered pair solutions of y = |x+2| when x = -5, -3, 0, 3, and 5

Answers

(-5,3), (-3,1), (0,2), (3,5), and (5,7)

Graphed:

Express the number in terms of i

Answers

3i

Step-by-Step-Explanation

Hope this helps

Answer:

[tex]\sqrt[]{9} i[/tex]

Step-by-step explanation:

[tex]\sqrt[]{ab}=\sqrt[]{a} *\sqrt[]{b} \\Therefore, \sqrt[]{-9} =\sqrt[]{9}*\sqrt[]{-1} \\\\\sqrt[]{-1}=i\\\\So, \sqrt[]{-9}= \sqrt[]{9}i[/tex]

Solve: 1 × -23 = Question 9 options: -1 1 23 -23

Answers

Answer:

-23

Step-by-step explanation:

1 × -23

1. When multiply a positive number by a negative number, the answer will always be negative.

2. When we multiply any number by 1, that number will stay the same.

[tex]1 * -23[/tex] [tex]-23[/tex]

Therefore, the answer is -23!

The sum of two consecutive odd numbers Is 364. Find the larger number.

Answers

Answer:

183

Step-by-step explanation:

If they are two consecutive odd numbers, than these two numbers will be close to half of the sum (364).

364/2=182

Now Find the two odd numbers in between 182, which are 181 and 183.

I had this type of question a few times recently, and this method worked every time :).

Bonus information:

For two consecutive odd/even numbers, find the half of the sum.

For three consecutive odd/even numbers, start off by finding the third of the sum. And so on...

Hope this helped! :D

Doug entered a canoe race. He rowed 3 1/2 miles in 1/2 hour what is his average speed in miles per hour

Answers

Answer: 7 miles per hour

Step-by-step explanation:

3 1/2 miles = 7/2 miles

1/2 hours= 30 minutes

So,

In 30 mins, travelled 7/2 miles

In 1 min, travelled 7/2 ÷ 30= 7/2× 1/30 = (7×1)/(2×30) = 7/60 miles

In 60 mins, travelled (7×60)/60 miles = 420/60 miles = 7 miles.

Hence, the speed is 7 miles per hour.

Prove the polynomial identity.

(4x^2−2)^2−(4x^2)^2=4(1−2x)(1+2x)
Drag and drop the lines of the proof in the correct order to complete the proof.

Answers

Answer:

(4x^2 - 2)^2 - (4x^2)^2 = 4(1 - 2x)(1 + 2x)

16x^4 - 16x^2 + 4 - 16x^4 = 4(1 - 2x)(1 + 2x)

4 - 16x^2 = 4(1 - 2x)(1 + 2x)

4(1 - 4x^2) = 4(1 - 2x)(1 + 2x)

4(1 - 2x^2)(1 + 2x) = 4(1 - 2x)(1 + 2x)

a student sketched some art on an 8 inch x 10 inch piece if paper he wants to resize it to fit an 4 inch x 6 inch frame. What percent of the original sketch was still able to be included?

Answers

The picture is originally 11 inches wide by 8.5
inches tall. It gets scaled down to a new width of 7 inches. We need to find the new height. To do this, we write a proportion:

8.5/11=x/7

Cross multiply:
11x = 59.5

Divide:
X = 5.41

The size of the picture is 5.41" x7", but the size of the frame is 5" x7". The part of the picture's area that is included in the frame is:
(5 × 7) / (5.41 × 7)
= 5/ 5.41
= 0.924

92.4% of the picture is inside the frame.

Determine the midpoint of segment CD​

Answers

Answer:

9

Step-by-step expation:

The water level in a lake was monitored and was noted to have changed −1 1/5 inches in one year. The next year it was noted to have changed −1 3/10 inches.
What was the total change in the water level over the two years?

Enter your answer as a simplified mixed number by filling in the boxes.

$$
in.

Answers

Answer:

-2 1/2

Step-by-step explanation:

Answer:- 3 1/2Step-by-step explanation:-1 1/5 + -1 3/10 = -3 1/2I had gone with the other person's answer but according to K12, it was wrong. This is the correct answer with proof:~Hope this Helps~

One gallon of water weighs approximately 8 1/3lbs. How much does 25 3/4 gallons of water weigh?

Answers

6 1/2 or 7 should be your answer
25 3/4 * 8 1/3= 214 7/12 lbs

Hope it help

Please answer the following question:

Answers

Answer:

l

Step-by-step explanation:

Help me please!!!!!✨✨✨✨✨✨✨✨✨✨

Answers

What are the symbol options I’ll leave answer in comments?

Is seven radical 2 rational?

Answers

If seven radical 2 means [tex]7\sqrt{2}[/tex], then the number is irrational.

It means that it goes on and on after the decimal place.

√2 is a surd, so it's irrational.

The perimeter of the rectangle below is 50cm.
find the value x

Answers

Answer: 13

Step-by-step explanation:

12 x 2 = 24 (because of the two sides)

50 - 24 = 26 (to find the remaining amount)

26 / 2 = 13 (to equally distribute the remaining amount.)

Mark deposit $ 200 into an account that pays an interest rate 3.5% compounded annually. He doesn't add or remove from his account for 4 years how much money will markbhave in 4 years

Answers

Answer:

30,012.5

Step-by-step explanation:

We power the number by itself for the past years so in this it will be 3.5  powered by itself four times equaling 150.0625 multiplied by the first deposit which is 200 so 200*150.0625= 30,012.5

Hope this helps

A batting machine uses an automatic baseball feeder. During baseball
practice the feeder is a full. An attendant fills it with 15 baseballs so
that the feeder is now full. How many baseballs does the feeder
hold when full?
A. Write an equation to represent the problem.

Answers

The feeders in battling machine are represented in proportions and fractions.

The equation that represents the problem is: [tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]The feeder can hold 30 baseballs, when full

The given parameters are:

[tex]\mathbf{Initial = \frac 16x}[/tex] ------ 1/6 full

[tex]\mathbf{Additional = 15}[/tex] --- baseballs added

[tex]\mathbf{Final = \frac 23x}[/tex] ---- 2/3 full

So, the equation that represents the problem is:

[tex]\mathbf{Initial + Additional = Final}[/tex]

So, we have:

[tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]

The number of baseballs it can hold is calculated as follows:

[tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]

Multiply through by 6

[tex]\mathbf{x + 90 = 4x}[/tex]

Collect like terms

[tex]\mathbf{4x - x = 90 }[/tex]

[tex]\mathbf{3x = 90 }[/tex]

Divide through by 3

[tex]\mathbf{x = 30 }[/tex]

Hence, the feeder can hold 30 baseballs, when full

Read more about proportions and fractions at:

https://brainly.com/question/20337104

Complete the multiplication problem to find the answer​

Answers

Answer:

B

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Which expressions are equivalent to?

Answers

Answer:

-6(b+2) +8

= -6b -12 +8

= -6b -4

Step-by-step explanation:

Which table can be represented by a line?
A)
А
B)
B
C С
D
D

Answers

Step-by-step explanation:

if you really want to get answer you should follow me

Find all exact solutions on the interval [0,2π) csc^2(x)-9= -5

Answers

Answer:

d

Step-by-step explanation:

The scale of the drawing was 5 inches = 4 yards. What is the drawing's scale factor? Simplify your answer and write it as a fraction

Answers

Answer:

138889/144

Step-by-step explanation:

If 2.5 kg of potatoes cost $8.25 how much will u pay for 7 kg

Answers

Answer:

$23.10

Step-by-step explanation:

To get how much money you will have to pay for  7kg, you need to find out how much you have to pay for 1 kg. You will divided y divided by x = y.

8.25 (y) divided by 2.5 (x) = $3.30

You will pay $3.30 for 1 kg

So $3.30 x 7 = 23.10

You will pay $23.10 for 7 kg of potatoes.

** I hope this helps

PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST

Answers

first one is denominator, then opposite of denominator.. i would wait for someone else to answer. but i’m pretty sure that’s correct. sorry if it is incorrect.. good luck on the rest of your assessment!!

SOMEONE HELP PLZ 20 POINTS

JUST NEED HELP IN THE LAST 4

Answers

Answer:

the last one is

four cubed plus 8 to the 4th power

4^3 + 8^4

4160

Step-by-step explanation:

A gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least twice the area used for flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all values of x and y that satisfy these requirements.

Answers

Hshahgsuzhshgdshhshsjushsgsgsjhdgdhdhhhgghvfdf

Find a primitive Pythagorean triplet (a, b, c) where c=a+50.

Answers

Answer:

Pythagorean triple (PT) can be defined as a set of three positive whole numbers that perfectly satisfy the Pythagorean theorem: a2 + b2 = c2.

theorem: a2 + b2 = c2.

This set of numbers are usually the three side lengths of a right triangle. Pythagorean triples are represented as: (a, b, c), where, a = one leg; b = another leg; and c = hypotenuse.

There are two types of Pythagorean triples:

Primitive Pythagorean triples

Non-primitive Pythagorean triples

Primitive Pythagorean triples

A primitive Pythagorean triple is a reduced set of the positive values of a, b, and c with a common factor other than 1. This type of triple is always composed of one even number and two odd numbers.

For example, (3, 4, 5) and (5, 12, 13) are examples of primitive Pythagorean triples because each set has a common factor of 1 and also satisfies the

Step-by-step explanation:

Pythagorean theorem: a2 + b2 = c2.

(3, 4, 5) → GCF =1

a2 + b2 = c2

32 + 42 = 52

9 + 16 = 25

25 = 25

(5, 12, 13) → GCF = 1

a2 + b2 = c2

52 + 122 = 132

25 + 144 = 169

169 = 169.

hope you all like this answer.

mark this answer as brainlist.

rate this answer quys.

Thank you ❤️.

The spread of a virus is modeled by V (t) = −t 3 + t 2 + 12t,
where V (t) is the number of people (in hundreds) with the virus and t is the number of weeks since the first case was observed.
(a) Sketch V (t).
(b) What is a reasonable domain of t for this problem?
(c) Find the average rate of infection from t = 0 to t = 2.
(d) Find the instantaneous rate of infection as a function of t using the limit definition of the derivative.
(e) Find V (2) and V ‘ (2). Write a sentence interpreting V (2) and V ‘ (2) in terms of the number of infected people. Make sure to include units.
(f) Sketch the tangent line to the graph you drew in a. at the point (2, V (2)). State the slope of the tangent line.
(g) Use V (2) and V ‘ (2) to estimate the value of V (2.1).
(h) Find the maximum number of people infected at the same time and when the maximum occurs. Determine the rate of infection at this time.

Answers

Functions can be used to model real life scenarios

The reasonable domain is [tex]\mathbf{[0,\infty)}[/tex].The average rate of change from t = 0 to 2 is 20 persons per weekThe instantaneous rate of change is [tex]\mathbf{V'(t) = -3t^2 + 2t + 12}[/tex].The slope of the tangent line at point (2,V(20) is 10 The rate of infection at the maximum point is 8.79 people per week

The function is given as:

[tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

(a) Sketch V(t)

See attachment for the graph of [tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

(b) The reasonable domain

t represents the number of weeks.

This means that: t cannot be negative.

So, the reasonable domain is: [tex]\mathbf{[0,\infty)}[/tex]

(c) Average rate of change from t = 0 to 2

This is calculated as:

[tex]\mathbf{m = \frac{V(a) - V(b)}{a - b}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{V(2) - V(0)}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{V(2) - V(0)}{2}}[/tex]

Calculate V(2) and V(0)

[tex]\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}[/tex]

[tex]\mathbf{V(0) = (0)^3 + (0)^2 + 12 \times 0 = 0}[/tex]

So, we have:

[tex]\mathbf{m = \frac{20 - 0}{2}}[/tex]

[tex]\mathbf{m = \frac{20}{2}}[/tex]

[tex]\mathbf{m = 10}[/tex]

Hence, the average rate of change from t = 0 to 2 is 20

(d) The instantaneous rate of change using limits

[tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

The instantaneous rate of change is calculated as:

[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}[/tex]

So, we have:

[tex]\mathbf{V(t + h) = (-(t + h))^3 + (t + h)^2 + 12(t + h)}[/tex]

[tex]\mathbf{V(t + h) = (-t - h)^3 + (t + h)^2 + 12(t + h)}[/tex]

Expand

[tex]\mathbf{V(t + h) = (-t)^3 +3(-t)^2(-h) +3(-t)(-h)^2 + (-h)^3 + t^2 + 2th+ h^2 + 12t + 12h}[/tex][tex]\mathbf{V(t + h) = -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h}[/tex]

Subtract V(t) from both sides

[tex]\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h - V(t)}[/tex]

Substitute [tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

[tex]\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h +t^3 - t^2 - 12t}[/tex]

Cancel out common terms

[tex]\mathbf{V(t + h) - V(t)= -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}[/tex]

[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}[/tex] becomes

[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{ -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}{h}}[/tex]

[tex]\mathbf{V'(t) = \lim_{h \to \infty} -3t^2 -3th - h^2 + 2t+ h + 12}[/tex]

Limit h to 0

[tex]\mathbf{V'(t) = -3t^2 -3t\times 0 - 0^2 + 2t+ 0 + 12}[/tex]

[tex]\mathbf{V'(t) = -3t^2 + 2t + 12}[/tex]

(e) V(2) and V'(2)

Substitute 2 for t in V(t) and V'(t)

So, we have:

[tex]\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}[/tex]

[tex]\mathbf{V'(2) = -3 \times 2^2 + 2 \times 2 + 12 = 4}[/tex]

Interpretation

V(2) means that, 20 people were infected after 2 weeks of the virus spread

V'(2) means that, the rate of infection of the virus after 2 weeks is 4 people per week

(f) Sketch the tangent line at (2,V(2))

See attachment for the tangent line

The slope of this line is:

[tex]\mathbf{m = \frac{V(2)}{2}}[/tex]

[tex]\mathbf{m = \frac{20}{2}}[/tex]

[tex]\mathbf{m = 10}[/tex]

The slope of the tangent line is 10

(g) Estimate V(2.1)

The value of 2.1 is

[tex]\mathbf{V(2.1) = (-2.1)^3 + (2.1)^2 + 12 \times 2.1}[/tex]

[tex]\mathbf{V(2.1) = 20.35}[/tex]

(h) The maximum number of people infected at the same time

Using the graph, the maximum point on the graph is:

[tex]\mathbf{(t,V(t) = (2.361,20.745)}[/tex]

This means that:

The maximum number of people infected at the same time is approximately 21.

The rate of infection at this point is:

[tex]\mathbf{m = \frac{V(t)}{t}}[/tex]

[tex]\mathbf{m = \frac{20.745}{2.361}}[/tex]

[tex]\mathbf{m = 8.79}[/tex]

The rate of infection is 8.79 people per week

Read more about graphs and functions at:

https://brainly.com/question/18806107

If p<0,q>0 and q=r what statement about is r true

Answers

Answer:

hell no

Step-by-step explanation:

bbbb

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