The entry fee is $11, and the entrants make the recipes at home and vote for their favorite, which cannot be their own recipe. The top 2 finishers win money. First place wins $58, and second place wins $48. You give yourself an X chance of finishing in the top 2, and if you finish top 2, then you have an equal chance of finishing first or second.

Required:
What is x such that entering this tournament is a fair gamble for you as an expected value maximizer?

Answers

Answer 1

Answer:

The value is  [tex]X =  0.1719 [/tex]

Step-by-step explanation:

From the question we are told that

    The entry fee is  [tex]a =  \$ 11[/tex]

    The  outcome for  first place is  [tex]b =  \$ 58[/tex]

    The outcome for second place is [tex]c =  \$ 48[/tex]

   The outcome for losing is  [tex] d =  - \$ 11[/tex]

The chance of finishing in the top two  is  X

Given that there are equal chance  of finishing first or second, then the chance of finishing first is  [tex]\frac{X}{2}[/tex]

and  the chance of finishing second is  [tex]\frac{X}{2}[/tex]

Then the chance of losing(i.e not finishing in the first two) is  [tex]1 - X[/tex]

given that the game is a fair gamble for the player as an expected maximizer then it mean is that the expected value of entering the tournament  E(X) =  0

So

     [tex]E(X) =  b *  \frac{X}{2}  +  c  *  \frac{X}{2} *  d  *  ( 1 - X)[/tex]

=>   [tex]0 =  58 *  \frac{X}{2}  +  48  *  \frac{X}{2} *  -11  *  ( 1 - X)[/tex]

=>   [tex]0 =  \frac{58X}{2}  +   \frac{48X}{2} *  -11  + 11X)[/tex]

=>   [tex]X =  \frac{64}{11}[/tex]

=>   [tex]X =  0.1719 [/tex]


Related Questions

Help plz Easy math I know the answer isn’t A

Answers

Answer: B

Step-by-step explanation: It is greater or equal to -6 and less than or equal to 5.

Jeff places a pineapple with mass of 890g on a balance scale. He balances the scale by placing 2 oranges, an apple and lemon on other side. Each orange weighs 280g. The lemon weighs 195g less than each orange. What is the mass of the apple?

Answers

Answer:

bnbvmnbnjnmbkjbvkjhbjn

Step-by-step explanation:

lnjkkllknnhljknk

URGENT!!!!!!!! PLS HELP DUE IN 5 MINUTESSS

The graphs show the costs of four canoe outfitters on the Brazos River The outfitters charges a minimum fee to rent une
In addition to a rental charge for each hour.
Which graph shows a minimum fee of $10

A) A

B) B

C) C

D) D

Answers

I strongly believe that the answer is d. But I really believe that is the answer

Answer:

it should be A

Step-by-step explanation:

The x-axis is going up by 2 meaning that it should be half of 10 on the y'axis (so sorry if this is wrong)

The new number, 550, is 200 more than the original number. What is the approximate percent change?
The percent change is approximately 33%.
The percent change is approximately 55%.
The percent change is approximately 150%.
The percent change is approximately 175%.

Answers

Answer: I believe the answer is b. 55%

Step-by-step explanation:

200/ (550-200) * 100

Answer:

Ps the answer IS 55%

Step-by-step explanation:

Just took quiz on edg 2020

Find 4 consecutive odd numbers whose sum is 112

Answers

Answer:

25, 27, 29, 31.

Step-by-step explanation:

25+27+29+31= 112

112 divided by 4=
28
Now 28 is the midpoint so you find two odd numbers before and after it. be careful to not include 28 as it is even.
25,27,29,31

i’ll mark brainlest! pls help :(

Answers

Answer:

square root: [tex]\sqrt{61}[/tex]

decimal: 7.81

Step-by-step explanation:

PLZ HELP FAST
Suppose x and y give the populations of two different cities where x >y and y > 0. Compare the expressions and select which of the given pair is greater. X/ x +y (select) x+y /X​

Answers

Answer:

(x + y)/x is greater than x/(x + y)

Step-by-step explanation:

Given.

x > y

y > 0

Required

Which is greater?

x/(x + y) or (x + y)/x

Since x is greater than y & y > 0

Then definitely,

x + y > x

By the above analysis:

(x + y)/x is an improper fraction because the numerator (x + y) is greater than the denominator (x)

While

x/(x + y) is a proper fraction because the numerator (x) is lesser than the denominator.

All improper fractions are greater than all proper fractions,

Hence:

(x + y)/x is greater than x/(x + y)

To further explain this:

Take

x = 3 and y = 2

x/(x + y) = 3/(3 + 2) = 3/5 = 0.6

(x + y)/x = (3 + 2)/3 = 5/3 = 1.67

See that (x + y)/x is greater than x/(x + y)

And this is so for all values of x and y

Where x > y and y > 0

Answer:

is less than

Step-by-step explanation:

P.9.115

A local bank charges $9 per month plus 24 per check. The credit union charges $7 per month plus 4e per chock. How many checks should be written each month to make the credit union a bottor deal?

The credit union is a better deal when writing or fower checks per month

Answers

This question was not properly written

Correct Question

A local bank charges $9 per month plus 2c per check. The credit union charges $7 per month plus 4cper check. How many checks should be written each month to make the credit union a better deal?

The credit union is a better deal when writing fewer checks per month

Answer:

Writing between 0 to 99 checks makes the credit union a better deal.

Step-by-step explanation:

Let the number of checks be represented by x

Note, 1 cent = $0.01

A local bank charges $9 per month plus 2c per check.

2c = $0.02

$9 + 0.02× x

= 9 + 0.02x

The credit union charges $7 per month plus 4c per check.

4c = $0.04

= $7 + 0.04 × x

= 7 + 0.04x

The credit union is a better deal when writing fewer checks per month

Hence:

Credit union < Local bank

7 + 0.04x < 9 + 0.02x

Collect like terms

0.04x - 0.02x < 9 - 7

0.02x < 2

x < 2/0.02

x < 100 checks

Hence, writing less than 100 checks (i.e writing between 0 to 99 checks) makes the credit union a better deal.

f) graph the function in part e. (10 points)

Answers

Answer:

Step-by-step explanation:

Given: $1.99 as the fee per book (slope) & fixed fee of $3 (y-intercept)

The function can be written out f(x) = 1.99x + 3.

Express the value of f(x) for x = 0.

This would cancel out the slope, giving us a horizontal line on (0, 3).

f(0) = 1.99(0) + 3

f(0) = 3

You can try to graph the function using a software or by hand.

The graph is continuous because the x-values can have any input as a point.

How many solutions does this problem have 7(y+3)=5y+8

Answers

Answer:

7(y+3)=5y+8

y= -3/2  One solution

Step-by-step explanation:

Which number has the lowest value?
A1/5B0.25C0.21D1/3

Answers

Answer:

A

Step-by-step explanation:

Answer:1/3 is bigger

Step-by-step explanation:

Help!NOW please!! I’ll do anything!

Answers

Answer:

16 1/2

Step-by-step explanation:

find the absolute value of both and add them, there's you answer

Answer:

re08uwahrewrai098nyryvrhheuaviufvsdsavad <<< Don't do this please

-16 1/2 units away

The Acme Battery Company has developed a new cell phone battery. On average, the battery lasts 60 minutes on a single charge. The standard deviation is 4 minutes. Suppose the manufacturing department runs a quality control test. They randomly select 7 batteries. The standard deviation of the selected batteries is 6 minutes. a. What would be the chi-square statistic represented by this test? b. What are the degrees of freedom for the chi-square statistic? c. Suppose they repeated the test with a new random sample of 7 batteries. What is the probability that the standard deviation in the new test would be greater than 6 minutes? (Use the applet)

Answers

Answer:

X² = 13.5

Degree of freedom = 6

0.04

Step-by-step explanation:

Give the following :

Number of samples (n) = 7

Population standard deviation (σ) =.4 minutes

Sample standard deviation (s) = 6

Mean battery life = 60 minutes

A) Chisquare (X²) :

X² = ((n - 1) * s²) / σ²

X² = ((7 - 1) * 6²) / 4²

X² = (6 * 6²) / 4²

X² = (6 * 36) / 16

X² = 216 / 16

X² = 13.5

B.) The degree of freedom:

degree of freedom = n - 1

Degree of freedom = 7 - 1 = 6

C.) using a chisquare distribution calculator :

With degree of freedom (df) = 6

X² = 13.5

Hence,

P(X² > 13.5) = 0.04 ( from calculator)

-74.25
That the right answer

Answers

Answer:

Okay...

Step-by-step explanation:


A government may create and regulate natural monopolies because:

Answers

Answer:

they can handle the costs of providing essential services

Step-by-step explanation:

A government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to own citizens.

Given that,
A government may create and regulate natural monopolies because:,
The incomplete statement is to be complete.

What is right?

An authority or claim controlled by the all-around people as the result of a constitution, law, ordinance, judicial precedent, or another type of law.

Here,
A government in any country has one motto rule of the country is to the people, for the people, and of the people. Whatever government does suppose to be for the welfare and proper livelihood in the country for its citizens. So in this manner,

Thus, a government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to its own citizens.

Learn more about rights here,
https://brainly.com/question/8903161
#SPJ5

Match the scenario with the law of logic it illustrates.

Question 1 options:

__Law of Syllogism


__Not a valid conclusion has been made.


__Law of Contrapositive


__Law of Detachment


1.
If it is raining, I will use an umbrella.

It is raining.

Therefore, I will use an umbrella.

2.
If the sun sets, it will be dark outside.

It is not dark outside.

Therefore, the sun hasn't set yet.

3.
If I do well on my assignments, my grade will improve.

If my grade improves, my parents will be happy.

Therefore, if I do well on my assignments, my parents will be happy.

4.
If I cook dinner, my daughter will eat.

My daughter ate.

Therefore, I cooked dinner.

Answers

I just took this and got an A, so here are the answers :)

Make sure to take notes or put this with your notes! :))

Answer:

Law of Syllogism: 3

If I do well on my assignments, my grade will improve.

If my grade improves, my parents will be happy.

Therefore, if I do well on my assignments, my parents will be happy.

Not a valid conclusion has been made: 4

If I cook dinner, my daughter will eat.

My daughter ate.

Therefore, I cooked dinner.

Law of contrapositive : 2

If the sun sets, it will be dark outside.

It is not dark outside.

Therefore, the sun hasn't set yet

Law of Detachment: 1

If it is raining, I will use an umbrella.

It is raining.

Therefore, I will use an umbrella.

explanation:

Syllogism:

p → q and q → r then p → r is also true.

Contrapositive:

If not q, then not p.

Detachment:

If p , then q

Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy
of Rectangle A and is multiplied by the scale factor 7. What are the
dimensions of Rectangle B?

Answers

Rectangle B = 56inches by 28inches
It’s pretty easy you just multiply 8 by 7 and 4 by 7.

Which is equal to 0.63?

Answers

Answer:

63%

Step-by-step explanation:

A percentage is x/100.  So 0.63 = x/100.  So multiply by 100, and you'll get 63%.

0.63 is equal to 63%. When finding the percentage of a decimal multiply by 100. Therefore, 0.63 x 100 equals 63%•

0.63 x 100 = 63%

Ella and some friends are going to a movie. Each movie ticket costs $5. Create an equation that shows the relationship between how many friends, n, attend the movie and the total cost in dollars, c.​

Answers

Answer:

lets say ella and 3 other friends went, so since there is 4 people in total, there will be 4 $5 dollar tickets, so you multiply 5 and 4 which is $20.

Step-by-step explanation:

Place the terms into the correct column that describes the reactions of photosynthesis.

Word bank:
Processes: ATP Synthase, Calvin Cycle, Electron Transport Chain, Photosystem I, Photosystem II

Locations: Stroma, Thylakoids membrane

Reactants: ADP, ATP, Carbon Dioxide, NADP+, NADPH, Sunlight, Water

Products: ADP, ATP, NADPH, NADP+, Oxygen, Sugars

Answers

Answer:

Please find the correct placement in a tabular format in the attached image. The explanation has been done below.

Step-by-step explanation:

The process of photosynthesis occurs in two stages viz: light-dependent and light-independent reactions.

- In the light-dependent reaction, which occurs in the THYLAKOID MEMBRANE of the chloroplast, energy from SUNLIGHT is used to breakdown WATER to release electrons in order to synthesize ATP and NADPH from ADP and NADP+. In a nutshell, the processes involved in this stage are Electron transport chain, photosystem I, photosystem II, and ATP synthase.

- In the light-independent stage, also called CALVIN CYCLE, the ATP, NADPH, and CO2 are used as reactants to synthesize SUGAR (glucose), NADP+ and ADP (which goes back to the first stage) as products.

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 120 degrees.
What is the length of the arc?

Answers:
6.28 ft 09.42 ft
18.84 ft
28.26 ft

Answers

The arc’s length is:

6.28 ft


If this helped, please mark brainliest.

Answer:

A) 6.28ft

Step-by-step explanation:

r = 3ft

θ = 120°

Arc length = θ ⋅ (2πr/360)

Arc length = 120° ⋅ (2π ⋅ (3/360))

6.2831853

i hope this explains it, pls mark brainliest

how do u write 2.25 in standard form?​

Answers

9514 1404 393

Answer:

  2.25

Step-by-step explanation:

The number 2.25 is already in standard form.

___

In the US (and other places), "standard form" is an ordinary decimal number, with the integer part to the left of the decimal point and the fractional part to the right of the decimal point: 2.25.

In the UK (and other places), "standard form" is a number written in scientific notation with a mantissa consisting of the leading non-zero digit to the left of the decimal point, the remaining significant digits to the right of the decimal point, and a multiplier that is 10 to the power appropriate to the place value of the leading digit. When the multiplier is 1, we need not write it.

  2.25 = 2.25×10⁰ (full form) = 2.25 (with superfluous 10⁰ removed)

Selina didn't use the distributive property correctly. Where did she go wrong? Explain your thinking.​

Answers

Answer:

PEMDAS

Step-by-step explanation:

Well, I don't know if there should be a picture of the problem that should go with the question. But a trick for solving distributive property is to use the trick PEMDAS In order.

For Example:

P-Paraenthese

E-Exponent

M-Multiply

D-Divide

A-Add

S-Subtract

NOTE!

Remember to always Multiply and divide BEFORE adding and subtracting.

Hoped this helped!

Graph the line passing through (-6,-3) whose slope is m=2

Answers

Answer:

Start at (−6,−3) and count up 2 units and right 1 unit to find a second point. Connect the two points with a line to find the graph.

Step-by-step explanation:

Start by plotting the point (−6,−3). Use the slope formula m=rise/run to identify the rise and the run.

m=2

rise/run = 2/1

rise = 2

run = 1

Start at (−6,−3) and count up 2 units and right 1 unit to find a second point. Connect the two points with a line to find the graph.

what is 8 plus 8 over 1 with the power of 4

Answers

65,536 welcome :))))))

65,536 , that is the answer.

Ali spent $42 on fruit at the grocery store. He spent a total of $60 at the store. What percentage of the total did he spend on fruit

Answers

70% I divided 42/60 then converted to percent :)

Suppose you have 3 quizzes and want an average of 7 points. List at least five ways this average can be accomplished. keep in mind that each score can be no more than 10 points.

Answers

Answer:

4,9,8 = 4+9+8 = 21

9,9,3 = 9+9+3 = 21

6,7,8 = 6+7+8 = 21

8,8,5 = 8+8+5 = 21

5,7,9 = 5+7+9 = 21

Step-by-step explanation:

The question says you get 7 points per quiz out of 3 quizzes.

7+7+7 = 21

Now that we know that we need a total score of 21, we therefore need to distribute it among the three quizzes.

Remember;

None of these scores are to be higher than 10. We need to add up scores below 10.

4,9,8 = 4+9+8 = 21

9,9,3 = 9+9+3 = 21

6,7,8 = 6+7+8 = 21

8,8,5 = 8+8+5 = 21

5,7,9 = 5+7+9 = 21

All of these gives 7 as average.

A cash register contains q quarters. Write an algebraic expression that represents the total amount of money (in dollars).

Answers

Answer:

0.25q

Step-by-step explanation:

A cash register is a machine used in small business that sums, display and records the total amount made by each sale. A cash register also has a drawer which is used to store money.

A quarter is a coin in the United States which is 25 cents.

Converting 25 cents to dollars:

100 cents = $1

25 cents = 25 cents × $1 / 100 cent = $0.25

The total amount of money registered = number of quarters × $0.25

The total amount of money registered = q × $0.25 = 0.25q

3. Heights of 1-year-old girls are Normally distributed, with mean 30 inches and standard deviation of 1.2 inches. A company claims that taking 500 mg of vitamin C makes girls taller. In a random sample of 100 baby girls who were given 500 mg vitamin C daily from birth to 1 year, the mean height was 30.1 inches. Is this evidence for the company’s claim? Assume the standard deviation remains the same. To make this determination, calculate and interpret the p-value for the appropriate test.

Answers

Answer:

The p- value  is [tex]p-value  =  0.2033[/tex]

Its interpretation is  

As  [tex]p-value > \alpha[/tex]

The decision rule is

Fail to reject the null hypothesis

 The conclusion is  

There is no  sufficient evidence to support the  company claims at a level of  sign9ificance of 0.05

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu =  30 \  inches[/tex]

  The standard deviation is   [tex]\sigma  =  1.2 \  inches[/tex]

  The sample size is  n  =  100

  The sample mean is  [tex]\= x  =  30.1[/tex]

Let assume the level of significance is  [tex]\alpha = 0.05[/tex]

The null hypothesis is [tex]H_o  :  \mu \le 30[/tex]

The alternative is  [tex]H_a : \mu > 30[/tex]

Generally the test test is mathematically represented as

    [tex]z =  \frac{\= x- \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]

=>  [tex]z =  \frac{30.1- 30 }{\frac{1.2}{\sqrt{100} } }[/tex]

=>  [tex]z =  0.83[/tex]

Generally from the z-table  the  probability of (Z > 0.83 ) is

   [tex]p-value  =  0.2033[/tex]

From the value obtained we see that  [tex]p-value > \alpha[/tex] hence

 The decision rule is

Fail to reject the null hypothesis

 The conclusion is  

There is no  sufficient evidence to support the  company claims at a level of  sign9ificance of 0.05

Anyone ??? Help with this one

Answers

Answer:

(4x-3y)(4x+3y)

Step-by-step explanation:

This is a difference of squares equation. As it says, ([tex]x^{2} -y^2[/tex]) is equal to (x-y)(x+y)

Simply apply the formula to your numbers, [tex]16x^{2} -9y^2[/tex].

It gives the hint of [tex]16x^{2}[/tex] is equal to (4x)^2. and, 9y^2 is equal to (3y)^2, since if you square 4x and 9y, they get 16x^2 and 9y^2 respectively.

Now, you need to do (4x-3y)(4x+3y)

Hope this helps

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