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blagie [28]
1 year ago
11

You and a friend are playing a game of chance. Every time you roll a 1 or 2 you are successful, and your friend will pay you $1.

Every time you roll (using a fair die) a 3, 4, 5 or 6, you must pay your friend $2. If 71% of your rolls are successful and 29% of your rolls are unsuccessful, how much money do you expect to have earned/owed by the end of the game
Mathematics
1 answer:
Viktor [21]1 year ago
8 0

Considering the mean of a discrete distribution, you are expected to earn $0.13 by the end of the game.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

Since 71% of your rolls are successful and 29% of your rolls are unsuccessful, the distribution of your earnings is:

  • P(X = 1) = 0.71.
  • P(X = -2) = 0.29

Hence the expected value is:

E(X) = 1 x 0.71 - 2 x 0.29 = 0.71 - 0.58 = 0.13

More can be learned about the mean of a discrete distribution at brainly.com/question/24245882

#SPJ1

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How do we get an<br> equation in slope-intercept form?
Viefleur [7K]

Answer:

y = mx + b

Step-by-step explanation:

1. m is the slope (lesson on slope ) mnemonic : 'm' means 'move'

2. b is the y -intercept ( lesson on the y-intercept ) mnemonic : 'b' means where the line begins.

7 0
3 years ago
A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16ft2. The
Bad White [126]

Answer:

4.9\%

Step-by-step explanation:

we know that

To find out the probability of hitting a ball into the circular hole, divide the area of the hole by the area of the playing area

Let

x ----> the area of the hole

y ----> the area of the playing game

so

P=\frac{x}{y}

we have

y=16\ ft^2

<em>Find the area of the hole</em>

The area of the circle (hole) is equal to

A=\pi r^{2}

we have

r=1/2=0.5\ ft ----> the radius is half the diameter

assume

\pi =3.14

substitute

A=(3.14)(0.5)^{2}

A=0.785\ ft^2

<em>Find the probability</em>

P=\frac{x}{y}

we have

x=0.785\ ft^2

y=16\ ft^2

substitute

P=\frac{0.785}{16}

P=0.0491

Convert to percentage

0.0491*100=4.91\%

Round to the nearest tenth

4.9\%

5 0
3 years ago
A restaurant has 5 ​3/8 pitchers of lemonade. Jada said 5 3/8​ ÷ 1 1/8 could represent the number of total servings if there are
Aloiza [94]

It should be noted that since Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade, Latanya is correct.

<h3>How to illustrate the information?</h3>

It should be noted that Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. This is right.

On the other hand, Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. This is wrong. In this case, it should be multiplication.

Therefore, it can be seen that Latanya is correct.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

A restaurant has 5 3/8 pitchers of lemonade. Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. Who is correct?

7 0
1 year ago
Use long division to find the quotient and remainder. <br><br><br>{4x^4-5x^2+5x+9}/{x+1}
Vlada [557]

Answer:

quotient: 4x^3 -4x^2 -x +6

remainder: 3

Step-by-step explanation:

See the attached for the long division. As with any long division, at each step, the quotient term multiplies the divisor and the result is subtracted to form the new dividend.

5 0
2 years ago
What is the value of x to the nearest tenth
marishachu [46]

You will have to use trig to solve this:

The side you have is adjacent to the known angle

The side you are looking for is opposite the known angle

^^^This means you need to use tan:

tan(24) = \frac{x}{12}

.445222 = \frac{x}{12}

^^^input tan(24) into calculator, then multiply 12 to both sides to isolate and solve for x

5.3 ≈ x

Hope this helped!

4 0
3 years ago
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