3. You are a senior consultant at a highly prestigious agency. You did a great job in 2020,
which means you are eligible for a bonus payment.
Your boss gives you three options:
1. You flip a coin 10 times, and for every head you obtain $2,000.
2. You roll three dice and obtain $1,000 for every dot you count.
3. You get paid $9,000.

(a) Which option has the highest expected payout? Justify your answer.

(b) Which options are acceptable to you, if you want to be at least 95% sure to obtain
at least $6.000? Justify your answer.

(c) Which option should you choose to maximise your chances for a $16.000 bonus
payment? Justify your answer.​

Answers

Answer 1

Answer:

(a)The highest expected payout option 1

(b)1 and 3

(c)Option 1

Step-by-step explanation:

In this you just multiply the amount you are paid by chance if all are favorable to you, so in option 1 you would get $2,000 for each head you get on a flipped coin, so that would be 10*$2,000=$20,000 that's the highest paid, in the dice you get a maximum of 6 dots each, that would make $6,000*3=$18,000.

Rolling the dice can get you 5 scenarios where you don't get $6,000 when all three are lower than $6,000 which would be getting three 1's, two 1's and a 2, ot two 2's and a 1. That's why only option 3 and 1 are available for an almost certainity of getting $6,000

To know this you have to remember last problem, the getting $9,000 will never give you $16,000, and the dice would give you only 3 scenarios where you could end up winning $16,000 whihc would be getting all 6's, two 6's and a 5, or twop 5's and a 6, so your best option would be flipping the coin.


Related Questions

Multiply 16.852 × 0.86 = _____

Answers

Answer:

14.49272

Step-by-step explanation:

16.852 × 0.86 = 14.49272

7) Newton sees 50 frogs in the morning, and 7 fewer frogs in the
afternoon. How many frogs did he see in total?

Answers

Answer:

93

Step-by-step explanation:

5/3÷7=_____
Answer in a fraction form

PLZ HELP ​

Answers

Answer:

5/21

Step-by-step explanation:

5/3/7=?

so 5/3 *1/7=5/21

so 5/21 is your answer

Is a polynomial function?​

Answers

Answer:

Yes it is a polynomial function

The ratio of girls to boys in a class is 4 to 1. There are 24 girls in the class. How many students are in the class?​

Answers

Answer:

a

Step-by-step explanation:

Answer:

The answer is

A ) 30

Step-by-step explanation:

For every 4 girls in the class, there is 1 boy.

24/4 = 6

24 + 6 = 30

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

What is the answer to 34.50r+78.50(810-r)

Answers

Answer:

-44r+63585

Step-by-step explanation:

Answer:29045 is the answer

Step-by-step explanation:

definitonss for math really easy

Answers

Answer:The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the x y xy xy -plane can intersect once, never intersect, or completely overlap.

A system of linear equations is usually a set of two linear equations with two variables. x + y = 5 x+y=5 x+y=5x, plus, y, equals, 5 and 2 x − y = 1 2x-y=1 2x−y=12, x, minus, y, equals, 1 are both linear equations with two variables. When considered together, they form a system of linear equations.

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. For example, in the quadratic polynomial the 3 is a constant term.

Step-by-step explanation:

which is the simplified form of the expression ((p^2)(q^5))^-4•((p^-4)(q^5))^-2

Answers

(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²

= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)

= p ⁻¹⁶ q ⁻²⁰

Andrew sold 45 tickets to the school play and Sara sold 60 tickets. Which of the following is equivalent to the ratio of the number of tickets Andrew sold to the number of tickets Sara sold?
a. 6:8
b. 8:10
c. 6:10
d. 10:12

Answers

Answer:

a

Step-by-step explanation:

definitely  not d

Answer:

A

Step-by-step explanation:

You have $350 to buy 26 tickets for a baseball game. You need to buy some of each kind of seat. You want to spend most of the money. How many of each type of ticket can you buy? Find two different solutions to the problem. Use an equation to show each solution.

Answers

Answer:

it would be 700

Step-by-step explanation:

because if you are adding 350 plus 350 then you would get 700

When a number is divided by another number then it gives a quotient and a remainder. The two different solutions to the given problem is given as 26 tickets of one kind and one ticket of the remaining $12.

What is Euclid's division lemma?  

Euclid's division lemma can be written in mathematical form as

P = QS + R, where a number P divided by number s gives a quotient Q and a remainder R.

It is applicable to both numbers and algebraic expressions.

Given that,

Total amount for buying tickets is $350

Total number of tickets to be bought is 26.

Since the total money available is $350 for 26 tickets, the expression for price of each ticket can be written as,

P = 26t + r

Here, t is the amount for one type of ticket and r is money remained after buying tickets.

The solution to the given division gives quotient as 13 and remainder as 12.

It implies to buy tickets of each kind, 26 tickets can be bought.

And, in order to utilize the amount completely the remaining $12 can be used to buy another kind of ticket.

Hence, the two different solutions to this problem are 26 tickets of one kind and one ticket of another kind for the remaining $12.

To know more about Euclid division lemma click on,

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Can someone help me? Please i need this done

Answers

Your answer is y=-10x+8b I think. This is because on the x axis it hits -10 and on the y axis it’s 8

A botanical garden contains several cube-shaped planters. One planter
holds a tree and has a volume of 2 to the power of 7 cubic feet. Another planter holds a
small shrub and has a volume of 2 to the power of 4 cubic feet. How many times larger is the
volume of planter with the tree than the volume of planter with the shrub?

Answers

Answer:

hmmmmmmmmmmmmmmmmmmmm

What is the sum of the polynomials? 8x2-9y2-4x

Answers

Hope this helps good luck

Answer:

9x^2-12y^2-11x

Step-by-step explanation:

I took the test.

Example of a balance point

Answers

a home's loss of heat is equal to heat created in the home or when both sides of a seesaw are at an equal level.

For the triangles to be congruent by SSS, what must be the value of x? 1 3 6 8

Answers

Answer:

C

Step-by-step explanation:

6

Answer:

C

Step-by-step explanation:

It gib the funny check mark

Jane needs to solve this equation for x.
2x - 8= 20
Which would be the BEST first step Jane could make to solve the
equation?
A. Add 8 to both sides of the equation
> C. Divide 2x by 2
B. Subtract 8 from the left side of the equation
D. Divide both sides of the equation by 20​

Answers

Answer:

a

Step-by-step explanation:

because you can't divide by 2 yet

The first step is Add 8 to both sides of the equation

What is equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2x - 8= 20

Now, first step to solve the equation is

Add 8 on both side

2x- 8 +8 = 20 + 8

2x= 28

and, divide both side by 2

x= 28/2

x= 14

Hence, the first step is Add 8 to both sides of the equation

Learn more about equation here:

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GIVING BRAINLIEST IF CORRECT PLEASE ANSWER

Answers

Answer:

a) 1/3

b) 7/9

Step-by-step explanation:

A) there are 18 total, 6/18 is 1/3

B) there are 18 total, you add the red and green together to get 14, 14/18 is 7/9

Question 1 (1 point)
Mr. Whittaker had 24 bags of marbles. If 1/4 were red and 3/8 were yellow. How many were neither red or yellow
6
15
10
9

Answers

Answer:

the answer is 9

Step-by-step explanation:

3/8 = 9

1/4=6

9+6=15

24-15=9

so 9 is your answer

DONT FORGET TO MARK BRAINLIEST

The ratio of girls to boys in the coed soccer league is 3:7. Choose True or
False for each statement.
For every 3 girls in the league, there are 7 boys.
O True
O False

Answers

Answer:

It is true!

3 = girls

7 = boys.

Answer:

TRUE

Step-by-step explanation:

For every 3 girls in the league, there are 7 boys. This statement is true.

For every 3 girls there are 7 boys

                   3           :           7

If this was helpful, mark brainliest. Have a beautiful day!

Tell whether the angles are complementary or supplementary. Then find the value of x.

Answers

Answer:

Supplementary angles,

x = 50

Step-by-step explanation:

These angles are supplementary, meaning that they add up to form a 180-degree angle or a straight line.

Knowing this, now form and solve the equation,

76 + 2x + 4 = 180

Combine like terms,

76 + 2x + 4 = 180

80 + 2x = 180

Inverse operations,

80 + 2x = 180

-80           -80

2x = 100

/2    /2

x = 50

3.55. Постройте график линейной функции:
1) у = 2/3х – 4;
2) y = 2x + 6;
3) у = -1,5х – 3;
4) y = -1/2x + 1;
5) y = 5/3x - 2;
6) y = -4/3x + 2;

Answers

Answer:

4) y = -1/2x + 1;

Step-by-step explanation:

maybe

or maybe not

HELP!!!!!!!! ALL MY GRADES DEPEND ON THIS!!! 0.5y/4/9 = y+3/8

Answers

Answer:

The answer is y=3, my friend. I hope your grade gets better <3

Step-by-step explanation:

Answer:

The value of y is 3

Step-by-step explanation:

Your statement balance is $687.45. You have outstanding checks totaling $332.10 and an outstanding deposit for $124.21. What is your adjusted balance?

Answers

Answer:

261.48

Step-by-step explanation:

can someone help please

Answers

Answer: m<10 less than 10 is the answer so it would be m<10

Step-by-step explanation:

there are seven teams in a basketball competition, each team must play each of the other team once, how many games will each play?​

Answers

Answer:

49 games

Step-by-step explanation:

2x2x7x8x5x3 one with the most accurate answer will get brainliest

Answers

Answer:

2x2x7x8x5x3

=2*x2*x7*x8*x5*x3

=2*x25

=2x25

I think

-2.6f + 0.8f - 15 - 4

help ??

Answers

Answer:

= -1.8f-19

Step-by-step explanation:

- Add the similar elements which would give you -1.8f-15-4

- Then subtract -15-4 which gives you -19

I WILL MARK BRAINIEST
It showstopper answers I got wrong so please answer correctly and don’t give me answers I already put thanks

Answers

B) Side length of B to side length of C is 4:5.

Perimeter of C is 280, so let's put that into the side length of C's place:

4:280

But the 4 also would have to change so let's figure out how much we multiplied 5 by to get 280:

280 / 5 = 56

So let's do 4 x 56 = 224

Our new ratio is 224:280

Therefore the perimeter of mirror B is 224cm.

C) Side length of A to side length of B is 3:4.

We know the perimeter of B from the previous part (224) so let's put that in the 4s place:

3:224

But we also have to change 3, so let's figure out how much we multiplied 4 by to get 224:

224 / 4 = 56

Therefore to determine A's perimeter we do 3 x 56 = 168.

Mirror A's perimeter is 168cm.

D) The side length of mirror A is the perimeter divided by 4 (as they are squares).

168 / 4 = 42. Side length of mirror A is 42cm.

E) Area of a square is side length squared, so the area of mirror A is 42².

42² = 1,764cm².

Who tryna okay among us??

Answers

Answer:

(7i^17+42.628%*1037)(437^2-281i)^19

Step-by-step explanation:

Itll all make sense

M e e e e e ??

Hope you have a great day!

If a van traveled 200 miles in 5 hours how far would it travel in 8 hours

Answers

Answer:

It would travel 320 miles in 8 hours

Step-by-step explanation:

200 divide by 5 equals 40

40 x 8= 320

Answer: 320 miles

You divide 200 from 5, which gives you 40. Then, you multiply 40 times 8, giving you 320.

p.s. I know someone already answered this question, but I just needed to respond to any kind of question.

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