You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin. She will give you $9 for heads and $21 for tails. Your mother says she wants you to roll a six-sided die. She will give you $5 times the number that appears on the die. Determine the expected value of each game and decide which offer you should take.

Answers

Answer 1
$30 for the flip a coin game.
$105 for the dice game.
- > heads = $9
-> tails = $21
^ $9+$21=$30

dice game-
6 sides of a dice, she doubles it by 5.
1*5 + 2*5 + 3*5 + 4*5 + 5*5 + 6*5
^ 5+10+15+20+25+30= 105.
-> $105 for dice game.

you can easily get $9/$21 from your sister, but it won’t be as much from the dice, but you have more risk going with the dice since there’s 6 sides. the highest to get from your mother is $30 and the highest from your sister is $21, but the dice is the better deal.
Answer 2

The maximum amount you can get from your mother is $30, while the most amount you can get from your sister is $21, but the dice is the better bargain.

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

 

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

The expected value of X is:

[tex]E(X) = np\\[/tex]

You need to borrow money for gas, so you ask your mother and your sister.

You can only borrow money from one of them.

Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin.

She will give you $9 for heads and $21 for tails.

Your mother says she wants you to roll a six-sided die.

She will give you $5 times the number that appears on the die.

The expected value for a coin will be

[tex]E(X) = 1 \times 0.5 = 0.5[/tex]

The expected value for a dice will be

[tex]E(X) = 1 \times \dfrac{1}{6} = 0.1667[/tex]

You can easily receive $9/$21 from your sister, but it won't be as much as the dice, and you'll take a bigger risk with the dice because it has six sides.

The maximum amount you can get from your mother is $30, while the most amount you can get from your sister is $21, but the dice is the better bargain.

Learn more about binomial distribution here:

https://brainly.com/question/13609688

#SPJ2


Related Questions

1/3 + 5 3/4 pls I rlly need help

Answers

Answer:

6 1/12

Step-by-step explanation:

Make 1/3 and 3/4 have the same denominator.

1/3 times 4/4 is 4/12

3/4 times 3/3 is 9/12

4/12 + 9/12 = 13/12 = 1 1/12

1 1/12 +5 = 6 1/12

6.08333333333333333333333333333333333333333333

What is the image point of (-2, -3) after a translation right 2 units and up 4 units?

Answers

Answer:

The Answer is (0, 1)

Step-by-step explanation:

add 2 and 4 to the x and y

Answer:

(0, 1)

Step-by-step explanation:

2 units right -> -2 + 2 = 0

4 units up -> -3 + 4 = 1

What is the solution for the equation 6x − 8 = 4x? x = . (Input whole number only). (5 points) Blank 1:

Answers

Answer:

4

Step-by-step explanation:

Step 1:

6x - 8 = 4x        Equation

Step 2:

6x = 4x + 8        Add 8 on both sides

Step 3:

2x = 8     Subtract 4x on both sides

Step 4:

x = 8 ÷ 2      Divide

Answer:

x = 4

Hope This Helps :)

Help please 6th grade math

Answers

Answer:

Step-by-step explanation:

The slope is the distance between x and y. I am not quite sure how to do this question without the view of the whole problem. :(

The answer is - 5/2 :)))) brainliest? Thanks

Find two numbers if their ratio is 9:11 and their difference is 6

Answers

Answer:

27 , 33

Step-by-step explanation:

Let the numbers be 9x & 11x

so

11x-9x=6

2x=6

x=3

First number is =9x=9*3=27

Second number is =11x=11*3=33

plz mark as brainliest if it helps

Answer:

27 and 33

Step-by-step explanation:

Here I would set up a system of equations:

1. I make the proportion 9/11=x/y and this cross-multiplies into 9y=11x

2. I use the other part of the problem to make my second equation, and since y is greater than x (assumed by looking at first step) this second equation is y-x=6

3. now, I will use substitution, if y-x=6, then y=x+6, so 9(x+6)=11x

4. simplify, 9x+54=11x

5. solve, 2x=54, x=27, y=x+6=33

WILL GIVE BRAINLIEST!! What is the y-intercept of a line that has a slope of 3 and passes through point (4, 8)?

Answers

Answer:

-4

Step-by-step explanation:

If we set up the equation with the known info, we get y=3x+b

We can then use the ordered pair to plug in, so 8=12+b

Now, simply solve for B, and you get -4

karinne hit 4 more home runs than 1/2 the number of home runs Lu hit. Together they hit 10 home runs. Let X represent the number of home runs Lu hit. Write an equation to represent the situation ​

Answers

It is given that Lu hit x numbers of home run.

So, number of home run hit by Karinne is  more home runs than 1/2 the number of home runs Lu hit.

So, number of home run Karinne hit is :

[tex]y = 4 + 0.5x[/tex]

Also,

[tex]x + y = 10[/tex]

Solving above two equation, we get :

x + ( 4 + 0.5x ) = 10

1.5x + 4 = 10

1.5x = 6

x = 4

Therefore, number of home run hit by Lu is 4.

Hence, this is the required solution.

Creating a mathematical expression using the scenario described, the expression which represents the total number of home runs is 1.5x + 4 = 10

Total Number of home runs :

(1/2)x + 4 + x = 10

1.5x + 4 = 10

1.5x = 10 - 4

1.5x = 6

x = 6/1.5

x = 4

Therefore, the equation which represents the situation is 1.5x + 4 = 10

Learn more : https://brainly.com/question/18796573

Newton's first law of motion applies only to objects that are already moving.
O True
O False

Answers

Answer:

false

Step-by-step explanation:

False, because an object at rest also stays at rest unless it is pushed into motion by a force

an ablum recieve an award when it sells 10,000,000 copies. An ablum has sold 7,680,000 copies. How many more copies does it need to sell to recieve the award

Answers

Answer:

2,320,000

Step-by-step explanation:

10,000,000

                   -

7,680,000

__________

2,320,000

Answer:

2,320,000

Step-by-step explanation:

You have to subtract the 10,000,000 by the amount that has already been sold in order to find out the difference on how many copies are left in order to receive an award.  

10,000,000 - 7,680,000 = 2,320,000

5x = 45
O Commutative Property
O Associative Property
O
Distributive Property
Subtraction Property of Equality
O
Division Property of Equality

Answers

Division Property of Equality

how do you right
0.125 as a whole number

Answers

Step-by-step explanation:

divide 1 by 0.1 to 5 and this will tell you what you need to multiply it by in order to make 0.125

1/0.125=8

thus : 8 *0.125 =1

A gym was advertised to cost $23 a month with a one-time fee of $74. If the total
bill was $373, how many months was paid for? *
Your answer

Answers

Answer:

Step-by-step explanation:

$373 - $74 = $299

299 divided by 23 = 13

13 months (?)

If
3y + 1
2
= 5,
4x
3
= 8
and
z
3
+
z
4
= 2


A. y > x B. x = y C. y > z D. x > z

Answers

Step-by-step explanation:

hey, write the question properly...

If the equation are 3y + 12= 5,4x - 3= 8 and z³ + z⁴ = 2, then x = y

Let's start by solving each equation one by one to find the values of the variables.

Equation 1: 3y + 12 = 5

Subtracting 12 from both sides:

3y = 5 - 12

3y = -7

Dividing both sides by 3:

y = -7/3

Equation 2: 4x - 3 = 8

Adding 3 to both sides:

4x = 8 + 3

4x = 11

Dividing both sides by 4:

x = 11/4

Equation 3: z³ + z⁴

This equation is a bit more complex, and it seems challenging to find the exact values of z. However, we can deduce some information about the relationship between z³  and z⁴ by examining the equation. Since both terms are positive, the sum of z³  and z⁴ can never be negative. Therefore, the only possible solution is when both z³  and z⁴  are less than 2.

Now, let's compare the values of y, x, and z:

y = -7/3 ≈ -2.33

x = 11/4 ≈ 2.75

z³ + z⁴ < 2 (as explained above)

Based on these values, we can determine the relationship between the variables:

A. y > x

B. x = y

C. y > z

D. x > z

The correct answer is: B. x = y

To know more about equation here

https://brainly.com/question/21835898

#SPJ2

PLEASE HELP WILL GIVE BRAINLIEST 15 POINTS!!!!
I AM ACTUALLY IN MIDDLE SCHOOL I NEEDS HELP!!

Frances has $24.06 in her checking account. She writes a check for $32.16. The ban imposes a $15 penalty because she has overdrawn her account. How much money is in her account now? Write and simplify a numerical expression.

Answers

Answer:  -$23.10 dollars in Frances bank account.

Step-by-step explanation:

Answer:

--$23.10

This is the answer, I double checked.

please help me asap (picture is included) (:

Answers

Answer:

d

Step-by-step explanation:

C) -17
11+x= -2 x 3
11+x=-6
x=-6-11
x=-17

Write -0.744 as a fraction in lowest term

Answers

Answer:

- 93/125

Step-by-step explanation:

Answer:

-93/125 is the answer


A climber started at 2,580 feet above sea level. He climbed up 348 feet, down a valley 452 feet, and up 108 feet. What is his new elevation?

Answers

Answer:

2,584

Step-by-step explanation:

You just add or subtract the numbers if hes going up or down.

What is the value of the expression below when w=3? 5w2 -5w-8

Answers

Expressions are mathematical statements without the equal sign

The value of 5w^2 - 5w - 8 when x = 3 is 22

How to determine the value of the expression

The expression is given as:

5w^2 - 5w - 8

When the value of w is 3, the expression becomes

[tex]5w^2 - 5w - 8 = 5*3^2 - 5*3 - 8[/tex]

Evaluate the exponents

[tex]5w^2 - 5w - 8 = 5*9 - 5*3 - 8[/tex]

Evaluate the products

[tex]5w^2 - 5w - 8 = 45- 15 - 8[/tex]

Evaluate the differences

[tex]5w^2 - 5w - 8 = 22[/tex]

Hence, the value of 5w^2 - 5w - 8 when x = 3 is 22

Read more about expressions at:

https://brainly.com/question/723406

NOBODYS HELPING ME ANSWER THIS AND I NEED AN ANSWER ASAP :((( IVE ASKED 2 TIMES ANYWAYS ILL GIVE BRAINLIEST AND 15+

ITS 2 QUESTIONS SEPERATE PLEASE PUT IT AS THIS

QUESTION 1-
______________
QUESTION 2-
______________ m

Answers

Answer:

1) 2/3

2) y= 2x+4

Step-by-step explanation:

For number one, use the formula [tex]\frac{(y_{2}-y_{1} ) }{(x_{2}-x_{1} ) }[/tex].

Insert the given coordinates into the formula.

7-1/10-1= 6/9

Simplify 6/9.

6/9÷3= 2/3

For the second one, I used desmos calculator.

Hope this helps! :)

there are 65 children in the sixth grade. there are 15 more boys than girls. what is the ratio of boys to girls

Answers

from the 65 kids, set 15 of them into the boy category (mentally). this represents the excess over # of girls.
that means 50 kids remain, equally divided, so therefore there are 25 girls & 25+15 = 40 boys.

3x + 8
What is it please

Answers

Answer:

11x

Step-by-step explanation:

Add the 3 and 8 togeter, you will get 11 then the x at the and of you're solution.

. A recipe calls for 32 ounces of pasta to be used. How many pounds of pasta is that if 1 ounce equals about 0.06 pounds?

Answers

wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

If 1 ounce is equal to 0.06 pounds then 32 ounces of pasta is equivalent to 1.92 pounds of pasta.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A recipe calls for 32 ounces of pasta to be used.

Also given that 1 ounce is equal to 0.06 pounds.

Therefore, To convert the amount of pasta to pounds from ounces we have multiply the unit rate which is (32×0.06).

= 1.92 pounds.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2


i do not understand ): please help

Answers

Answer: its 5 and -1  so D

Step-by-step explanation: In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables

The answer to this question is d 5,-1

Is (4, 3) a solution to x + y = 7

Answers

Answer:

Yes

Step-by-step explanation:

(x, y)

(4, 3)

x = 4

y = 3

Therefore

4 + 3 = 7

Find the common ratio of the geometric sequence 18,-90,450,...

Answers

Answer:

try looking it up on socratic

Answer:

-5

Step-by-step explanation:

The common ratio is what you have to multiply one term by to get the next term.

so:

[tex]18 \times r = -90\\-90 \times r = 450[/tex]

where r is the common ratio

We can solve these equations:

-90 / 18 = -5

450/-90 = -5

therefore the common ratio is -5

Helpp me PlzzzzzZZzz

Answers

Answer: B. Distributive Property

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Distributive Property  

A fruit company includes 1.655 ounces of pineapple juice in a 6.75 ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT pineapple juice?

Answers

5.095 ounces or, if you're looking for a percentage, then 75.48% (I don't know where you need it rounded to). To get the ounces, subtract the ounces of pineapple juice from the total ounces of fruit juice. To get the percentage, divide 5.095 by 6.75, then multiply by 100.

What is equivalent to 64^(1/2)
Exponential Functions Algebra 1

Answers

[tex]64^{\frac{1}{2}}=\sqrt{64}=\sqrt{8^2}=8[/tex].

Hope this helps.

Answer:8

Step-by-step explanation: first you have to see what the base number is in this case the base number is 64 so you see that it 64 and then you you divide 1 by 2 then you divide        or you can just put it into the calculator

Which lists all the multiples of 8 that are less than 50?

A. 2, 4, 8
B. 4, 8, 12, 16, 24, 32, 40, 48
C. 8, 16, 24, 32, 40, 48
D. 8, 16, 24, 32, 40, 48, 56

Answers

Answer:

Its the third one 8, 16, 24, 32, 40, 48

Step-by-step explanation:

They all are multiples of 8 and are not more than 50

Select all the true statements

Answers

Answer:

option no (C) is correct

Step-by-step explanation:

Other Questions
1. Which of the following is irrational?A)0.4B)3. 125 barC) 0.2496D ) 3.142968 A fruit seller has 3 crates of apples. Each crate has 100 apples. If he packed 6 apples in 1 box. Which of these gives the number of such boxes needed to pack all the apples.100 x 6300x6100 divided by 6300 divided by 6 (01.07) Solve 3(+1) +6 = 33. (1 point) The two alternative chair conformations of cis-1-bromo-2-methylcyclohexane differ in their Gibbs free energy. Using the data for G (Axial-Equatorial) for monosubstituted cyclohexanes at room temperature (25C): Axial Equatorial Group G (kJ/mol) Group G (kJ/mol) -0.8 -5.9 -2.4 -7.3 -3.9 1,2-gauche 3.8 Calculate the absolute value of the difference in the Gibbs free energy between the alternative chair conformations. kJ/mol Which group in this compound is in axial position in the energetically preferred chair conformation? _______ All of the following describe nonfiction writing EXCEPTA) factual writingB) made up charactersC) about real people places events ideas "Speak softly and carry a big stick" went along with the:* Is the function even, odd, or neither? Only 0.1% of the individuals in a certain population have a particular disease (an incidence rate of 0.001). Of those who have the disease, 95% test positive when a certain diagnostic test is applied. Of those who do not have the disease, 90% test negative when the test is applied. Suppose that an individual from this population is randomly selected and given the test: a) Calculate P(positive test) b) Calculate P(has disease | positive test) Who supported dissenters What sort of power is Congress's ability to levy taxes?Choose 1 answer:implied because it is hinted at in the ConstitutionBenumerated because the president gives them the power to do soimplied because it has no basis in the Constitutionenumerated because it is written in the Constitution What is the slope-intercept form of the equation of the line that passes through the point (6, 1) and is perpendicular to the graph of 2x + 3y = 5? 1. Noen una hora (venir). * Are there ways to control populationgrowth? How many boys are there in a group of 27 students if there are four-fifths as many girls as there are boys? The interaction between the minutemen and the British troops at Lexington and Concord was significant because NEED SPANISH HELP ASAP Describe the first time you met one of your friends. In "The Ride of His Life," what viewpoint is the author trying to communicate about Senko? PLEASE HELP ASAP you dont have to do all can someone help me reword this please and thank you !An increase flow of silver circulating around the world enforces a strict social hierarchy inAmericas, Anton O. Vasquez, Spanish priest wrote about Amerindians he stated over 3000 endlessly work in severe conditions mining ores as a priest he would feel sympathetic towards Amerindians forced intolabor however goes on to say 326 million silver coins were produced in mines disregarding them. SinceEurope didn't want to pay workers, they forced millions into slave labor.