Mathematics High School

in a certain game, a fair die is rolled and a player gains 20 points if the die shows a 6. if the die does not show a 6, the player loses 3 points. if the die were to be rolled 100 times, what would be the expected total gain or loss for the player?

Answers

Answer 1

The expected gain or loss is an illustration of mean and expected values.

The expected total gain is 83 points

The given parameters are:

Addition of 20 points for rolling a 6Removal of 3 points for not rolling a 6

The probability of rolling a 6 in a fair die is 1/6.

The probability of not rolling a 6 in a fair die is 5/6.

So, the expected gain in each game is:

[tex]\mathbf{E(x) = 20 \times \frac 16 - 3 \times \frac 56}[/tex]

[tex]\mathbf{E(x) = \frac{20}6 - \frac{15}6}[/tex]

Take LCM

[tex]\mathbf{E(x) = \frac{5}6}[/tex]

[tex]\mathbf{E(x) = 0.83}[/tex]

The number of games is 100.

So, the expected gain is:

[tex]\mathbf{Gain = 100 \times 0.83}[/tex]

[tex]\mathbf{Gain = 83}[/tex]

Hence, the expected total gain is 83 points

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Answers

Answer:

The point-slope form is

(

−

)

(

−

)

, depending on which point you use. If you solve for

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−

Step-by-step explanation:

y-5=[whatever slope is](x-1)

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it replicates the chromosomes

Does anyone know this answer??

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I believe by the first equation they are referring two a representation of the total amount of money made up by the two types of coins. I found this to be 0.05x + 0.10y = 3.50

In my work I solved for the amount of each coin- I assume this is what the final step of your problem entails. If you need any help understanding/ I misinterpreted something please feel free to comment and ask :)

#5c coins or x= 36

#10c coins or y= 17

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Answer: 288 cubic centimeters

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B. (t', y) = (x, ky)

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Answer:

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Step-by-step explanation:

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Answers

Answer:

x <= -42.5

Step-by-step explanation:

65 - 2x >= 150

-2x >= 150 - 65

-2x >= 85

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Answers

The answer is 71 since you count from the tenth space. So the first significant figure would be 7 and the second significant figure would be 0. As we know that we round up one number of the previous number is 5 or bigger.

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Answer:

The answer is 3x^3 V2x. Edge 2022. For the second part, the product is -1

Step-by-step explanation:

How to find factors of a number.

Answers

To find factors of a number you have to see what numbers you can multiply to get to that number. For example i’ll use the number 9. 3x3 equals 9 and 9x1 equals 9.

You have a jar of jolly ranchers that contains: 15 cherry, 10 blue raspberries, 6 green apples, and 4 grapes.
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%. Round percent to the nearest whole
number.
Done and Review
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Answers

Answer:

9 / 119 or 8%

Step-by-step explanation:

there are a total of 35 candies, of which 6 are green and 15 are cherry

P(Green) = 6/35

P(Cherry) = 15/35

P(Green,Cherry) = 6/35 · 15/34

= 9/119 or 7.6%

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Answer:

if you need to plot what percent they have left its 75%, i you have to plot how much decreased it would be 25%> Hope this helped!

Step-by-step explanation:

Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?

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Step-by-step explanation:

answer is in the above picture

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Answers

Answer:

y = 14

You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?

Step-by-step explanation:

You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?

7y=98

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Answer: 14

Step-by-step explanation:

First you do 3 - 3 which cancels each other out.

2nd step :

you do 101 - 3 which equals 98

3rd step :

Divide 98 by 7 and your final answer is 14 !! <3

A carpet measures 7 meters 3 decimeters in length and 4 meters 2 decimeters in width. What is its area in square meters?

Answers

Answer:

Step-by-step explanation:

change decimetres into metres

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Width - 4.2m

to find an area, do length times width

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I hope this helped :)

Answer:

C. 30.66 square meters

Step-by-step explanation:

The equation for area is A = L × W

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Because a demimeter is 1 tenth of a meter your new measurements are 7.3 and 4.2.

multiply the measurements to find the area of 30.66² meters

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Answers

Answer:

Midpoint of (3,10) & (5,8) is (4,9)

Use the Distributive Property to solve the equation.
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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer: 2 7/9

Step-by-step explanation:

Answer: 2 7/9

Step-by-step explanation:

First divide 25 by 9. You should get the answer of 2.7777777777778 which equals 2. Then to find the new numerator, you do 25-(9x2)=7. You keep the original denominator (9) and there it is. 2 7/9.

A recipe calls for 15 cup of milk for every 28 cup of flour. If Kenny wants to double the recipe, how many cups of flour will he need?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

well if the recipe is 28 cups of flower, and he wants to double it, Then its 56, the milk is extrenuis info.

the blank will be nagitve

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Answer:

What would happen if someone doesn't put a negative comment in the blank?

Step-by-step explanation:

Answer:

numerical value??

Step-by-step explanation:

Ned fills 2/3 of a bucket in 1/5 of a minute. How much time will it take him to fill the bucket?

Answers

Answer:

12 min

Step-by-step explanation:

100 POINTS IF U GET THIS RIGHT!

Answers

Answer:

The y-intercept is 4.

Step-by-step explanation:

Our equation: y = mx + b

m = slope

b = y-intercept

=> Now, let's compare:

=> y = mx + b = y = -7x + 4

We can tell that b = 4

Hoped this helped.

[tex]y =-7x +4 \\\\\text{ The above equation is in a form of y=mx+b, where b is the y-intercept}\\\\\\\text{Hence the y-intercept of the given equation is}~ 4.[/tex]

A GIRL WANTS TO BUY A DRESS THAT COST 125$ ANDSHE HAS A DISCOUNT OF 15% OFF OF A 5% COUPAWN HOW MUCH DID SHE PAY

Answers

100$ because 125/6 is 20 so then 20 x 5 is 100

A student subtracted 9 from a number and then divided the result by 3. Her answer was 43.
What was the original number?

Answers

Answer:

138

Step-by-step explanation:

Point C has a _____ abscissa and a _____ ordinate.

positive, negative
positive, positive
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Answer:

i think its b but im not that sure

Step-by-step explanation:

Five less than five times a number is less than six times the same number plus
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Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in one single step, I'll start off with that.

We can first figure out what it says and make an algebraic equation. We can see what language the question uses and elaborate on that to create our equation.

[tex]5x-5<6x+2[/tex]

We can use algebra to simplify the equation so that we can solve for it.

[tex]-5<x+2\\-7<x\\x>-7[/tex]

We can check if this is correct by testing a few numbers from that range, I'll take -5 and 2.

[tex]5(2)-5<6(2)+2?\\10-5<12+2?\\5<14[/tex]

We've proven that 2 is working.

[tex]5(-5)-5<5(-5)+2?\\-25-5<-25+2?\\-30<-23[/tex]

We've also proven that -5 works.

We can now say that we've solved the problem, the solution of the problem would be x>-7.

Cheers!

How to teach multiplication with 2 digit numbers.

Answers

Answer:

10x50=

Step-by-step explanation:

x50

_____

+5 00

_____

500

first times the one times everything then carry a zero for the second number

them times the tens place by everything

then add them

hlp me with this math problem

Answers

Answer:

0.5l+0.2s

Step-by-step explanation:

0.10x5l equals 0.5l

0.10x2s equals 0.2s

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