You play a game using fair dice and fair coins. First you flip 72 coins. For each coin that is a heads, you roll 5 six-sided dice. You sum all the six-sided dice you roll to calculate your total score. What is the expected total score from this game

Answers

Answer 1

Answer:

630

Step-by-step explanation:

Given that:

First flip = 72 coins

For each coin which is a head, you roll = 5, six-sided dice

Thus, the expected sum on a single six-sided dice = [tex]\sum x P(x)[/tex]

[tex]\sum x P(x)[/tex] = [tex]\dfrac{1}{6}\times (1+2+3+4+5+6)[/tex]

[tex]\sum x P(x)[/tex] = 3.5

Thus, the expected sum on the five six-sided dice = 5 × 3.5 = 17.5

However, for a single flip :

The expected sum = P(heads) × expected sum on 5 dice + P(tails) × expected sum on 0 dice.

Expected sum = [tex]\dfrac{1}{2} \times 17.5 + \dfrac{1}{2} \times 0[/tex]

Expected sum = 8.75

Hence, the expected total score from this game = 72 × 8.75 = 630


Related Questions

The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid. (a) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (b) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (c) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. (d) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).

Answers

Answer:

this is what i did i apologize if i’m late and u no longer need the answer or if i’m wrong

Step-by-step explanation:

A push lawnmower is priced at $299.50. There is an 8% sales tax rate. What is the sales tax of the pusher lawnmower in dollars and cents?

Answers

Answer:

$323.46

hope this helped :)

$323.46
$299.50 + 23.96 = 323.46

complete the statement:

Answers

Angle 12 and Angle 10 are vertical angles.

7(10x+5-9x)=70
I rly need help on this

Answers

Answer:

x = 5

Step-by-step explanation:

1. Combine like terms

2. Multiply by 1

3. Distribute

4. Subtract  3

5  from both sides of the equation

5. Simplify

6. Divide both sides of the equation by the same term

7. Simplify

Answer: x=5

Step by Step Explanation:
7(10x+5-9x)=70 distributive property
70x+35-63x=70 subtract common terms
7x+35=70 subtract both sides by 35
7x=35 divide both sides by 7
x=5

slope = 3/2, (2,7) is on the line

Answers

Answer:

The answer would be 4.5

Cherries are a popular grocery item at the holidays for making desserts. If 4 pounds of
cherries at Price Chopper cost $10.50 and 6 pounds cost $15.60 at Target, which store
has the better deal on cherries? Round to the nearest hundreths.
Unit Rate at Price Chopper: $
per pound
Unit Rate at Target: $
per pound
Which is a better buy? (Enter Price Chopper or enter Target)

Answers

Answer:unit price at chopper: 2.625/lb

unit price for target:2.6lb

target

Step-by-step explanation:

Find the measure of an angle such that the sum of its supplement and four times its
complement is 13° less than twice the angle.
Show work

Answers

Answer:

Angle=79°

Step-by-step explanation:

Hope it helps!

>_< I need some help pls,

Answers

Answer: 80 = 20 + 5v

Step-by-step explanation:

This equation allows you to find out how many visits would create an even rate for both gyms.

Find the value of x for which line a is parallel to line b .

Answers

Answer:

x = 20

Step-by-step explanation:

For a and b to be parallel, they must both add up to 180. Therefore, we can set up an equation:

3x+6x = 180

9x = 180

x = 20

Answer: X=20

Step-by-step explanation: Angle 4 and angle 5 are same side interior angles which means they are supplementary(180) and 3x+6x=180 would simplify to 9x=180 and by dividing 180/9 you get x=20.


There are 16 boys and 20 girls in a class. What part of the class is boys? What part girls?

Answers

Answer:

girls 4/9 or (Decimal: 0.444444) percent is 44.4%

boys 5/9 or (Decimal: 0.555556) percent is 55.5%


Please with a cherry on top help me solve this. I will give you brainliest. Thanks.

Answers

You spent 5 hours watering flowers that day, because you charge $7 for coming so 27-7=20 and 20/4=5 :)

About 3.9×10^7 people live in California. About 1.7×10^6 people live in Idaho. About how many more people live in California than live in Idaho?

Answers

Answer:

37.3 x 10⁶

Step-by-step explanation:

Given parameters:

Number of people in California = 3.9 x 10⁷

Number of people in Idaho = 1.7 x 10⁶

Unknown:

How many more people live in California than live in Idaho = ?

Solution:

To find the number of people living in California more than Idaho, simply find the differences between the number of their population;

     =   3.9 x 10⁷  - 1.7 x 10⁶

    = 39 x 10⁶ - 1.7 x 10⁶

    = (39 - 1.7) x 10⁶

   = 37.3 x 10⁶ people

So, 37.3 x 10⁶ more people live in California than Idaho

Please help I would super appreciate it thank you so much

Answers

A) the constant of proportionality is 70

B) the equation is y=7x

C) if he had 23 people it would be $161

Answer: the answer is 7 dollars for 1 guest

Step-by-step explanation:

-3.6 divided by -0.75

Answers

Answer:

4.8

Step-by-step explanation:

the two negatives cancel each other

Answer:

4.8

Step-by-step explanation:

Since both numbers are in negative form and a division is supposed to occur, take away the negative so that the division can properly occur:

3.6 ÷ 0.75

Now simplify:

4.8

If you found my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

a car traveled 23 miles in 15 minutes. how many miles per hour was it traveling?

Answers

Answer:

1.53333... mph

Step-by-step explanation:

Well, if you want to figure out the speed (miles per hour), all you need to do is divide the distance by the time. In this case, the distance is 23 miles, and the time is 15 minutes. 23/15= 1.53333...

Hope this helps!! Have an amazing day c:

The speed of the car with given distance and time is 92 miles per hour.

Given that, a car traveled 23 miles in 15 minutes.

What is the speed?

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

We know that, speed = Distance/Time

Here 15 minutes = 15/60

= 1/4 hours

Now, speed = 23 ÷ 1/4

= 23 ×4

= 92 miles per hour

Therefore, the speed of the car with given distance and time is 92 miles per hour.

To learn more about the speed, distance, and time visit:

brainly.com/question/4978052.

#SPJ2

If a Ferris wheel takes 45 seconds to make a complete rotation, how many rotations will it complete in 3 hours?

Answers

Answer:240 rotations

Step-by-step explanation: 1 rotation/45 seconds * 60 seconds / minute * 60 minutes / hour * 3 hours = 3600*3/45 = 240 rotations

write a word phrase for x/4-17

Answers

Answer:

a number  x  divided by four, minus seventeen

or

seventeen less than a quarter of a number  x

or

a quarter of  x  take away seventeen

Step-by-step explanation:

There's a variable in the expression so we can just say "a number x". We are dividing that unknown number by four, so we can say x divided by four, or since dividing by four is multiplying by one fourth, we can say one fourth of x  or a quarter of x  (especially since 'of' in math means multiplication).  Then we have to subtract seventeen. We could leave it as minus seventeen at the end, or we could say seventeen less than a fourth of x or take away seventeen. As can be seen, there are numerous ways to go about 'verbalizing' the expression, or any expression for that matter. Think creatively!

which equation choice could represent the graph shown below?

Answers

Answer:

The answer is...

f(x)=(x-3)+(x+3)

I think this is the answer. I haven't done this kind of math in a while so...

The chosen equation, (x +3)(x + 3) = 0, will serve as a representation of the provided graph.

What is a Quadratic equation?

ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

given a Graph of a quadratic equation.

Contrarily, parabolas are used to graph quadratic equations. In other words, the data will be displayed as either an "open" or "upside-down" U-shaped curve. The graph is always quadratic if you are drawing a graph from a function and the equation involves x².

in this graph, we can observe that graph has only one root at x = -3

therefore the equation of the Given parabola is

(x + 3)² = 0

or

(x +3)(x + 3) = 0

therefore, the equation choice could represent the graph given will be (x +3)(x + 3) = 0.

Learn more about Quadratic equations here:

https://brainly.com/question/22364785

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A customer will get gallons for 3.50

Answers

What is the question? For any amount of gallons you would multiply 3.50 to get the totally price. Hope this helps!

Answer:

What is the question?

Step-by-step explanation:

If its how much will it cost to get ____ gallons

Just multiply the number of gallons you want and 3.50 (the price)

Again, I don't really know what your question is, but I'm saying this so that if what I put up there is actually what your question was, you don't have to make another one. (I'm not sure if you can edit questions or not.)

help me with this please i’ll give u a cookie

Answers

Answer:

B

Step-by-step explanation:

The flat rate is 30, and the changing value is 45 extra for every hour, h. The equation should be C=45h+30

Answer:

B

Step-by-step explanation:

The flat rate is 30, and the changing value is 45 extra for every hour, h. The equation should be C=45h+30

Beleaguered State Bank (BSB) holds $400 million in deposits and maintains a reserve ratio of 10 percent.

Answers

Deposits are worth 400 million and since reserve ratio is 10%, required reserves are 40 million and ;loans outstanding are worth 360 million Beleaguered State Bank Assets Liabilities Reserve

4 tens + 14 ones = 5 tens + ___ ones

Answers

Answer:

that equation isnt set up right

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

40+14=54 and 50 = 4 + 54

Hope this helps :)

Please Assist!
What is the answer to this question???

Answers

Answer:

[tex](3.5,0.5)[/tex]

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

Simply plug in your coordinates into the midpoint formula to find midpoint:

P(5, -3)

Q(2, 4)

[tex](\frac{5+2}{2},\frac{-3+4}{2} )[/tex]

[tex](\frac{7}{2},\frac{1}{2} )[/tex]

[tex](3.5,0.5)[/tex]

PLS HELP!! According to the following diagram, which two options form a pair of opposite rays?

Answers

Ello there mate hows it going? I have done geometry and parlinguals along with alegbra! I am certified as a college professor and am willing to help ya!

PLEASE THANK ME RATE MY QUESTION 5 STARS AND MARK ME BRAINLIEST for my extrodinary and overly qualified help!

A,C

yours,

a soon to be brainliest

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 =1/4 (x – 12). What
is the standard form of the equation for this line?

Answers

Answer: y=1/4x - 2

Step-by-step explanation: The easiest way to solve this would be to graph it in point-slope form then find the slope and y-intercepts. Try using desmos for that method. There are multiple ways to convert point-slope to standard, however, and I would suggest talking to your teacher to see which method s/he prefers you use. Let me know, and I can help you more if you need it.

Hope this helps,

Lacia :))

I need help ASAP thank u

Answers

Answer:

im pretty sure the answer is a

Step-by-step explanation:

and follow me plz

The answer is in my opinion is a

What equation could be used to represent the verbal representation below?
Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?

Answers

Answer:

10p=300+44

Step-by-step explanation:

Answer: 10x = 44 + 300.

Step-by-step explanation: The 10 pieces of artwork will be sold by an x amount of money, should equal the $300 profit plus the $44 expenses.

What is the sign of the product (3)(−25)(7)(−24)?

A. Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive
B. Positive, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is positive
C. Negative, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is negative
D. Negative, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is negative

Answers

I think it is B because I had that

x+ y2 + 16x– 14y + 49 = 0
What is the center of this circle ?

What is the radius of this circle ?

Answers

Answer: center: (-8,7)

radius: 8

Step-by-step explanation:

2 ÷ 16/7 then put it in its simplest form (it will be a mixed number)​

Answers

Answer:

1 1/7

Step-by-step explanation:

Answer:

8/7

Step-by-step explanation:

16/7=[tex]\frac{16}{7} \\[/tex] then divide it by 2 and you get 8/7

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