Find the expected value of the winnings from a game that has the following payout probability distribution: Payout ($) 1 2 5 8 10 Probability 0.35 0.2 0.1 0.2 0.15 = Expected Value = [?] Round to the nearest hundredth. Enter​

Answers

Answer 1

Multiply each payout by the corresponding probability, and add these up:

1•0.35 + 2•0.2 + 5•0.1 + 8•0.2 + 10•0.15 = 4.35

So one can expect to win $4.35 from playing the game.


Related Questions

Who invent natural numbers???​

Answers

Answer:

  nobody

Step-by-step explanation:

Humans have made use of natural numbers as long as humans have been around. Counting numbers are wired into our consciousness, as they are for many living things.

Research has demonstrated some plants can count up to 5 (generally, carnivorous ones). Honeybees have long been known to be able to count to 4, and recent research shows they can count higher. Fish can count; birds can count; as can many other species.

For most, it takes concentration and/or training to count beyond 4. We are born with an understanding of 1, 2, 3, more.

Nobody "invented" natural numbers.

_____

Additional comment

Prey species survive by being able to count predators. Some predators take advantage of the limitations of number recognition by hunting in groups larger than can be readily counted.

If the sum of six consecutive even integers is 438, what is the smallest of the six integers?

Answers

46
Because the sum of six consecutive is 46

Expand and simplify 4(x-3)+3(2x-5).

Answers

[tex]4(x-3)+3(2x-5)\\\\=4x -12 + 6x -15\\\\=10x - 27[/tex]

Sophia was measuring the height of her Christmas tree. The
first part she measured was 36 inches tall. The second part
was 2 feet tall. How tall was her Christmas tree?

Answers

Answer:

60 inches or 5 feet

Step-by-step explanation:

36 inches + 2 feet (24 inches) = 60 inches, also 5 feet

Find the difference. 2/5(d-10)-2/3(d+6)

Answers

[tex]\dfrac 25(d-10) - \dfrac 23(d+6)\\\\\\=2 \left(\dfrac{d-10}5 - \dfrac{d+6}3 \right)\\\\\\=2\left[\dfrac{3(d-10) - 5(d+6)}{15}\right]\\\\\\=2 \left( \dfrac{3d-30-5d-30}{15} \right)\\\\\\=2\left(\dfrac{-2d-60}{15} \right)\\\\\\=2(-2) \left(\dfrac{d+30}{15} \right)\\\\\\=-4 \left(\dfrac{d+30}{15} \right)\\\\\\=-4\left(\dfrac d{15} +2 \right)\\\\\\=-\dfrac{4d}{15}-8[/tex]

So when you are adding fractions how do you know when you need to simplify the numbers and how do you simplify?

Answers

Let's look at an example.

We'll add the fractions 1/6 and 1/8

Before we can add, the denominators must be the same.

To get the denominators to be the same, we can...

multiply top and bottom of 1/6 by 8 to get 8/48multiply top and bottom of 1/8 by 6 to get 6/48

At this point, both fractions involve the denominator 48. We can add the fractions like so

8/48  + 6/48 = (8+6)/48 = 14/48

Add the numerators while keeping the denominator the same the entire time.

The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.

14/2 = 748/2 = 24

The fraction 14/48 reduces to 7/24

Overall, 1/6 + 1/8 = 7/24

PLEASE HELP WILL MARK BRAINIEST!!!!!

Answers

Answer:

The bisector of a given angle

Step-by-step explanation:

Because, the given picture shows an acute angle and the markings on it are of which you can see when a bisector is being searched for.

x - y = -4
-5 + 6y = 22

The answer is (-2,2) but i just need to show the work for it so please help with that.

Answers

Answer:

(-2, 2).

Step-by-step explanation:

  x - y = -4

-5x + 6y = 22    Multiply the first equation by 5:

5x - 5y = -20    Now  Add the last 2 equations:

y = 2.

Substitute y = 2 in the first equation:

x - 2 = -4

x = -4 + 2

x = -2.

Answer:

x=1/2, y=9/2. (1/2, 9/2).

Step-by-step explanation:

x-y=-4

-5+6y=22

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

y=x-(-4)

y=x+4

-5+6(x+4)=22

-5+6x+24=22

6x+24-5=22

6x+19=22

6x=22-19

6x=3

x=3/6

x=1/2

y=1/2+4=1/2+8/2=9/2.

3.8×102+1.7×103 giving answer in standard form

Answers

Answer: 5.15 x 10^2

Step-by-step explanation:

3.8 x 103 + 1.7 x 103 = 5 x 103 = 515 = 5.15 x 10^2

A factory wants to fill a conical storage tank with sand. The tank has a height of 23.7 meters and a diameter of 21.4 meters.
Calculate the volume of the storage tank to the nearest hundredth.

Answers

Answer:

ur mom

Step-by-step explanation:

ur mom + 3= 69

The volume of the storage tank to the nearest hundredth is 2840.04 m³.

Given that, the conical tank has a height of 23.7 meters and a diameter of 21.4 meters.

What is the volume of a cone?

The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter.

The volume of a cone formula is 1/3 πr²h.

Put h=23.7 meters and radius = 21.4/2 = 10.7 meters in the volume of a cone formula

That is, 1/3 × 3.14 × (10.7)² × 23.7

= 2840.0389 m³

≈ 2840.04 m³

Therefore, the volume of the storage tank to the nearest hundredth is 2840.04 m³.

To learn more about the volume of a cone visit:

https://brainly.com/question/1984638.

#SPJ6

II
Homework: Secti...
Question 2, 7.1.5
>
Find the critical value Za/2 that corresponds to the given confidence level.
95%
.....
za/2
(Round to two decimal places as needed.)
(

Answers

Answer:

2.17

Answer and Explanation:

The critical value of z for 97% confidence interval is 2.17, which is obtained by using a z score table, that is: {eq}P(-2.17 < Z <...

(fog) f(x) = 1/x g(x) square root x+3

Answers

Answer:

see the step below, but I'm not sure if this you want

Step-by-step explanation:

[tex](fog) = \frac{1}{ \sqrt{x + 3} } [/tex]

[tex](fog) = \frac{ \sqrt{ x + 3} }{x + 3} [/tex]

An investor makes an investment of $1,000,000.00 to buy a small, select service hotel in Daytona Beach. She achieves a
$200,000 profit on that investment. In this example, what was her ROI?


Anyone??

Answers

Answer:

In terms of %, it's 20%.

Step-by-step explanation:

Used an ROI calculator:

9 X 19 + 2 X 57 - 75 = n

Answers

Answer:

210

Step-by-step explanation:

juss a fact

Answer:

210

Step-by-step explanation:

First you do 19 times 9 which is 171. Then you do 57 times 2 which is 114. Then you add 171 to 114 which gives you 285. Then you subtract 75 from it and that gives you 210

What is it okzzzzzzzzzzzzZ

Answers

Answer:

2

Step-by-step explanation:

the coefficient is the number in front of the variable (the number being multiplied by the variable).

co-efficient of x⁴in 2x⁴-3x³-x²+5x+6 is 2

A proportional relationship is formed when y = 24 and x = 32. What is the value of y when x = -2? Explain how you solved the problem.

Answers

Answer:

-1.5

Step-by-step explanation:

24 : 32 is the ratio between y and x respectively. To change a number but keep the ratio equal, we must divide/multiply both sides by the same amount.

First, we can say that we want to change x to -2. 32/-2 = -16, so we must divide both sides by -16 to keep the ratio but change x to 02

24 : 32 = 24/(-16) : -2 = -1.5 : -2

Has a slope of -2/5 and goes through (-10,-1)​

Answers

Answer:

Below in bold.

Step-by-step explanation:

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

y - (-1)) = -2/5(x - -10)

y + 1 = -2/5(x + 10)

y  + 1 = -2/5x - 4

y = -2/5x - 5.

In standard form this is:

2x + 5y = -25.

Find the least common denominator for these fractions.

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

help me out guys!!!!!!!​

Answers

Answer:

[tex] \frac{5 \sqrt{11} }{11} [/tex]

you are correct !!

Jade recorded how many characters she used in each of her 9 most recent text messages. Here's a

histogram showing her data:

# of messages

2

0

0

20

40

60

80

100 120

# of characters

Which interval contains the median number of characters?

Answers

The median of a histogram is the middle element of the histogram.

The interval contains the median number of characters is 20 - 30

The number of characters is given as:

[tex]n = 9[/tex]

The median position is then calculated as:

[tex]Median = \frac{n + 1}{2}th[/tex]

So, we have:

[tex]Median = \frac{9 + 1}{2}th[/tex]

Add 9 and 1

[tex]Median = \frac{10}{2}th[/tex]

Divide 10 by 2

[tex]Median = 5th[/tex]

So, the median is the 5th position.

From the histogram (see attachment), the 5th element is in the interval 20 to 30.

Hence,  the interval contains the median number of characters is 20 - 30

Read more about median at:

https://brainly.com/question/9298915

The area of the Mountain Island Educational State Forest in North Carolina is 3 square miles. What is the area, in square yards, of this forest

Answers

The area of the forest in square yards is [tex]9.3 \times 10^6[/tex]

The area of the forest in square miles is given as:

[tex]Area = 3mi^2[/tex]

To convert the area to square yards from square miles, we multiply the area by 3.098 * 10^6.

So, we have:

[tex]Area = 3 \times 3.098 \times 10^6yd^2[/tex]

Evaluate the product

[tex]Area = 9.294 \times 10^6yd^2[/tex]

Approximate

[tex]Area = 9.3 \times 10^6yd^2[/tex]

Hence, the area of the forest in square yards is [tex]9.3 \times 10^6[/tex]

Read more about areas at:

https://brainly.com/question/24487155

review the proof (not in order) of the identity tan(0/2) = + √1-cos(0)/1+cos(0)
which is the correct sequence of steps

Answers

Answer:

1-3-4-2-5

Step-by-step explanation:

[tex]tan\frac{\theta}{2}[/tex] <== Given

[tex]\frac{sin\frac{\theta}{2}}{cos\frac{\theta}{2}}[/tex] <== Step 1

[tex]\frac{\frac{\sqrt{1-cos\theta}}{2}}{\frac{\sqrt{1+cos\theta}}{2}}[/tex] <== Step 3

[tex]\frac{\sqrt{1-cos\theta}}{\sqrt{1+cos\theta}}[/tex] <== Step 2 (as a result of Step 4)

[tex]\pm\sqrt{\frac{1-cos\theta}{1+cos\theta} }[/tex] <== Step 5

To make cupcakes Leah uses 1/2 cup of chocolate chips for evry 1 1/3 cups of batter if Leah uses 3/4 cups of chocolate chips how many cups of batter should she use

Answers

Answer:

2

Step-by-step explanation:

Leah uses 1/4 cup of chocolate chips for 2/3 cups of batter, so if Leah uses 3/4 cup of chocolate chips, she should use 2 cups of batter.

Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her bill before adding the tip?

Answers

Answer:

25

Step-by-step explanation:

what is 4.5 18% of

100 / 18 = 5.56

4.5 x 5.55... = 25

$25

4.50 = 18%
0.25 = 1%
25 = 100%

PLEASE PLEASE PLEASE SOMEONE HELP ME PLEASE I BEG U PLEASE PLEASE !!!!!!!

Answers

Answer:

Right ear     a.d. = auris dextra

Step-by-step explanation:

mathematics may not have been the best place to ask this question.

Answer:

ad meaning right ear so C

Step-by-step explanation:

If xy + xb + ya + ab = 32 and x + a = 4 , then x + b = ​
and i will give BRAINLIEST

Answers

Answer:

Step-by-step explanation:

If you're actually looking for y + b rather than x + b

Then

xy + xb + ya + ab = (x + a)(y + b) = 32

                                        4(y + b) = 32

                                           y + b = 8

otherwise we have a situation with only two equations and four unknowns. This cannot be resolved without further information.

It is estimated that world reserves of oil currently stand at 2625
billion units. Oil is currently extracted at an annual rate of 45.5
billion units and this is set to increase by 2.6% a year. After how
many years will oil reserves run out

Answers

Answer:

  35.4 years

Step-by-step explanation:

The annual consumption (in billions of units) is described by the exponential function ...

  f(t) = 45.5·1.026^t

The accumulated consumption is described by the integral ...

  [tex]\displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)[/tex]

We want to find t such that the value of this integral is 2625, the estimated oil reserves.

  2625 = 45.5/ln(1.026)·(1.026^t -1)

  2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t

Taking natural logs, we have ...

  ln(2.480832) = t·ln(1.026)

  t ≈ ln(2.480832)/ln(1.026) ≈ 35.398

After about 35.4 years, the oil reserves will run out.

A basketball player made 80 out of 100 attempted free throws what percent of free throws was made ?

Answers

Answer:

8/10

Step-by-step explanation:

id hope your have a great day

Answer:

80%

Step-by-step explanation:

80÷100=.8 which is 80%

Factor the following expression completely: 3x^2+9x+6

Answers

Answer:

The answer is 3(+1)(+2)

Answer:

3(+1)(+2)

Step-by-step explanation:

My answer is 8, but I'm not completely sure, if I'm wrong could someone please explain how to find the length.

Answers

By knowing that S is bisected by the line shown, we will conclude that PD = 8

So here we know that PC = 8, we also can see that:

PCS is a right trianglePDS is a right triangle.

Notice that because the blue line bisects S, the angle at "S" on both of these right triangles is the same, and because both of these are right triangles, both must have a 90° angle.

Finally, if two angles are equal, then the 3 angles must be equal between these two triangles.

And notice that both of these triangles share one side, then:

Triangles we know for sure that triangles PCS and PDS have the same angles and one equal side.

This implies that the triangles are congruent, thus, the measures of the corresponding sides must be the same.

Then the length of the shorter side of both triangles must be the same, in triangle PCS the short leg measures 8 units, then in triangle PDS the short leg, PD, also must measure 8 units.

So you are correct.

If you want to learn more about congruent triangles, you can read:

https://brainly.com/question/12077512

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