You enter an online cooking tournament. The entry fee is $16, and the entrants make the recipes at home and vote for their favorite, which cannot be their own recipe. The top 3 finishers win money. First place wins $58, and second place wins $47. Third place wins $5. You give yourself an X chance of finishing in the top 3, and if you finish top 3, then you have an equal chance of finishing first, second, or third. What is X such that entering this tournament is a fair gamble for you. A fair gamble is one where the expected value of entering the tournament is $0.

Answers

Answer 1

Answer:

X =  0.5714

Step-by-step explanation:

entry fee = $16

price for first place = $58.   Net win = $58 - $16 = $42

price for second place = $47.  Net win = $47 - $16 = $21

price for third place = $5.  Net win = $5 - $16 = -$11 ( loss ) hence third position is not a fair gamble

Net loss for the rest =  -$16

Given that

P(1st place ) = P( 2nd place ) = P(third place ) =  X/3

P( rest ) = 1 - X

Hence the E(profit )

= 42 * X/3 + 37 * X/3 - 11 * X/3 - 16* ( 1 - X )

= 42X / 3  + 37X / 3 -  11X / 3 - 16 + 16X

= 68 X / 3 + 16X - 16

= 84X / 3 - 16 =  28x - 16

hence : 28X - 16 = $0    is a fair gamble

X = 16 / 28 = 0.5714


Related Questions

Pls answer it will help a ton!

Answers

Answer:

Graph.

The graph shows 6 texts an hour, but should show 12 texts an hour.

Which of the following is not a valid triangle congruence theorem?

Answers

All of them or A or b

Calculator
Enter the unknown value that makes this statement true:
25% of O
is 30.
->
-
1
2
3

Answers

Answer:

X = 120

Step-by-step explanation:

here's your solution

=> we need to find the number whose 25%

is 30

=>. now , let the number be X

=> solve for X

=>. 25/100*X = 30

=> X = 30*100/25

=> X = 120

hope it helps

pls help me with this math question pls Pls​

Answers

Angle a will be 77 degrees because the total amount of the angles added up is 180. I added 68 and 35(103). Then subtracted my sum(103) by the to amount of a triangles angles(160). Which gave me 77

Answer:

Hey V...

Step-by-step explanation:

This is ur answer....

Triangle fixed value = 180

= 180 - (68 + 35)

= 180 - (68 + 35) = 180 - 103

= 180 - (68 + 35) = 180 - 103= 77

Hope it helps you,

Mark me brainliest plz....

FOLLOW ME! ;)

5 - 3(7n + 8) =??????????

Answers

Answer:

-21x-19

Step-by-step explanation:

Answer:

The answer is -19 - 21n

by the way in the image those are the letter N, I hope this helps you :)

What is the equation that represents the relationship shown in the table?​

Answers

The equation is x+8=y

HELP ASAP PLZ DONT GUESS THIS DEPENDS ON MY LIFE FRR(graph in pic)

If Sheila rotates triangle PQR 90° counterclockwise to form triangle LMN, what is the measure of angle MNL?
A.130 °
B.100 °
C.50 °
D.30 °

Answers

Answer:

30

Step-by-step explanation:

This is a bit nasty, but you must keep the order in mind. PQR means that Q is the middle letter. M is also the middle letter. That's the easy part. What does MNL mean?

The lettering goes clockwise. MNL is the same thing as QRP. So what is R?

50 + 100 + R = 180

150 + R = 180

R = 180 - 150

R = 30

For this cylinder the radius r = 6.8 inches and the height L - 14.2 inches. Which is the BEST estimate for the volume? (Use TI = 3.14)

Answers

Answer:303.19

Step-by-step explanation: HOPE I HELPED

ayuda plis es para hoy ​

Answers

La respuesta es la que dice 0.4

Answer:

La respuesta es la que dice 0.4

Step-by-step explanation:

Por que si cuentas desde el 0 cuentas 1 2 3 4 entonces es 0.4 espero haberte ayudado coronita plis :(

Evaluate each expression.

Answers

A is 13 and b is 27 and c is 12

.
Write the expression in exponential form, and then evaluate
0.75x 0.75x 0.75
=

Answers

Answer:

3

.75

the solved version would be .421875

the numbers on top are translated in English to .75 to the power of 3.

Step-by-step explanation:

I'm pretty sure this is correct

In a recent study of 35 ninth-grade students, the mean number of hours per week that they played video games was 16.6. The standard deviation of the population was 2.8.
a. Find the best point of estimate of the population mean
b. Find the 95% confidence level of the mean of the time playing video games
c. Find the 99% confidence interval of the mean time playing video games
d. Which is larger? Explain why.

Answers

Answer:

a) 16.6

b) The 95% confidence level of the mean of the time playing video games is between 15.7 and 17.5 hours.

c) The 99% confidence level of the mean of the time playing video games is between 15.4 and 17.8 hours.

d) The margin of error increases as the confidence level increases, due to the value of z, which means that the 99% confidence interval is larger.

Step-by-step explanation:

a. Find the best point of estimate of the population mean

The best estimate for the population mean is the sample mean, which is 16.6

b. Find the 95% confidence level of the mean of the time playing video games

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{2.8}{\sqrt{35}} = 0.9[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 16.6 - 0.9 = 15.7 hours

The upper end of the interval is the sample mean added to M. So it is 16.6 - 0.9 = 17.5 hours

The 95% confidence level of the mean of the time playing video games is between 15.7 and 17.5 hours.

c. Find the 99% confidence interval of the mean time playing video games

Following the same logic as above, we have that [tex]Z = 2.575[/tex]. So

[tex]M = 2.575\frac{2.8}{\sqrt{35}} = 0.9[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 16.6 - 1.2 = 15.4 hours.

The upper end of the interval is the sample mean added to M. So it is 16.6 + 1.2 = 17.8 hours.

The 99% confidence level of the mean of the time playing video games is between 15.4 and 17.8 hours.

d. Which is larger? Explain why.

The margin of error increases as the confidence level increases, due to the value of z, which means that the 99% confidence interval is larger.

The mean is 16.6, 95% confidence interval is between 15.68 to 17.52, the 99% confidence interval is between 15.39 to 17.81, and the 99% confidence interval is larger.

It is given that the in recent study of 35 ninth-grade students the mean number of hours per week is 16.6 with standard deviation of the population was 2.8.

It is required to find the best point of estimate of the population mean, 95% confidence interval, and 99% confidence interval.

What is a confidence interval for population standard deviation?

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

We have confidence level = 95% = 0.95

We know:

[tex]\alpha = \frac{1-0.95}{2}[/tex]  = 0.025

[tex]\rm Z_1 _-_\alpha = Z_{0.975} = 1.96[/tex]  (from the Z table)

The sample size n = 35

We know the Margin of error formula:

[tex]\rm M =Z\frac{\sigma}{\sqrt[]{n} }[/tex]  ( [tex]\rm \sigma\\[/tex] = 2.8 )

[tex]\rm M =1.96\frac{2.8}{\sqrt[]{35} }[/tex]  

M = 0.92

The 95% interval will be:

= X - M ⇒ 16.6 - 0.92 ⇒15.68

= X+ M ⇒ 16.6+0.92 ⇒ 17.52

For 99% confidence level:

[tex]\alpha = \frac{1-0.90}{2} = 0.005[/tex]

[tex]\rm Z_1 _-_\alpha = Z_{0.005} = 2.575[/tex]  (from Z table)

[tex]\rm M =2.575\frac{2.8}{\sqrt[]{35} }[/tex]

M = 1.21

The 99% interval will be:

=16.6 - 1.21 ⇒  15.39

= 16.6+ 1.21 = 17.81

As the value of M increases the confidence value increases due to the value of Z that means 99% confidence interval is larger.

Thus, the mean is 16.6, 95% confidence interval is between 15.68 to 17.52, the 99% confidence interval is between 15.39 to 17.81, and the 99% confidence interval is larger.

Learn more about the confidence interval here:

brainly.com/question/6654139

please hepl with this math

Answers

Answer:

3,10,17,24

Step-by-step explanation:

An Arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

3,10,17,24

the difference is 7

What if I fart instead of helping?

I need help with this !!!

Answers

Answer:

no it cannot be

Step-by-step explanation:

because :

2/10 equals to 10/2 So 6/10 ÷ 2/10 =6/10×10/2

6×10=60

10×2=20 after reducing the fraction its 3/1

What is the perimeter of the trapezoid?

Answers

Answer:

30 i think

Step-by-step explanation:

Your correct answer should be 30

Q. You're working in the sedan section of
Dean's Car Dealership. A customer makes a
down payment of 15% on a new car that costs
$13,450. How much is the down payment?
A. $201.75
B. $2,017.50
C. $269.00
D. $2,690.00

Answers

Answer:

B

Step-by-step explanation:

[tex]15%of$13,450=$2,017.50[/tex]%[tex]of13,450=2,017.50[/tex] therefore the down payment is $2,017.50

5th grade math. correct answer will be marked brainliest.

Answers

Answer:

1, 2, 4, 11, 22, 44.

Step-by-step explanation:

Hope this helps :)

44 = 1 x 44, 2 x 22, or 4 x 11.
Factors of 44: 1, 2, 4, 11, 22,

Prime factorization: 44 = 2 x 2 x 11, which can also be written 2² x 11.

2 •2•11=44

hey guys i need some help on this division problem i have

Answers

Answer:

3. 25/28

4. 1 1/7

Step-by-step explanation:

when you divide fractions just flip one of them and then multiply across

so instead of 5/7 ÷ 4/5 its

5/7 • 5/4

please mark me brainliest to help me get ace rank

Who got Insta grammm because I really need help with my math assignments I’ll pay you $30 cash app or PayPal if it’s right

Answers

Answer:

just post it here im sure i can help w/o pay

Step-by-step explanation:

Answer:

I have Insta gram and I will help you but for free

A study was designed to test whether applying metal tags is detrimental to a penguin. One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged penguins survived, compared to 18 of the 50 electronic tagged penguins. Construct a confidence interval for the difference in proportion surviving between the metal and electronic tagged penguins (). Let be the proportion of penguins with metal tags that survived and be the proportion of penguins with electronic tags that survived. Round your answers to three decimal places.

Answers

Complete question :

A study was designed to test whether applying metal tags is detrimental to a penguin. One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged penguins survived, compared to 18 of the 50 electronic tagged penguins. Construct a 90% confidence interval for the difference in proportion surviving between the metal and electronic tagged penguins (). Let be the proportion of penguins with metal tags that survived and be the proportion of penguins with electronic tags that survived. Round your answers to three decimal places.

Answer:

(-0.305 ; - 0.015)

Step-by-step explanation:

Sample size, n1 = 50

x1 = 10

n2 = 50

x2 = 18

P1 = x1 / n1 = 10/50 = 0.2

P2 = x2 / n2 = 18 /50 = 0.36

1 - P1 = 0.8 ; 1 - P2 = 0.64

Zcritical at 90% = 1.645

Confidence interval :

(P1 - P2) ± Zcritical * standard error

Standard Error = sqrt[(p1(1-p1))/n1 + (p2(1-p2))/n2]

S.E = sqrt((0.2(0.8))/50 + 0.36(0.64))/50)

S.E = sqrt((0.0032 + 0.004608))

S. E = sqrt(0.007808)

S. E = 0.0883628

(0.2 - 0.36) ± (1.645 * 0.0883628)

-0.16 ± 0.145356806

Lower boundary = - 0.16 - 0.145356806 = −0.305356806

Upper boundary = - 0.16 + 0.145356806 = −0.014643194

(-0.305 ; - 0.015)

x−8<−1
Can someone plz tell me the answer

Answers

Answer:

Step-by-step explanation:

you have to add 8 in both sides

x-8<-1

x-8+8<-1+8

x<7

Answer:x<7

Step-by-step explanation:

Step 1: Add 8 to both sides.

x−8+8<−1+8

x<7

What is the correct step to solve this equation?
m + 4 = 10

A. Subtract 4 from both sides
B. Subtract 10 from both sides
C. Add 4 to both sides
D. Add 10 to both sides

Answers

Answer: C add 4 to both sides
I hope this helps you !
It’s A.
4-4=0
10-4=6
Check your work by putting the number in and see if it’s right
6+4=10

PLS HELP
Simply the expression by combining like terms.
6x+9+2x+4=

Answers

Answer:

Combine like terms: 18x + 15x = 33x

(45 + 33x + 6x2)

Step-by-step explanation:

Answer:

Combine like terms: 18x + 15x = 33x

(45 + 33x + 6x2)

Step-by-step explanation:

PLS HELP HELP ME WITH a question pls ​

Answers

Step-by-step explanation:

d.

e +e+25=180°{sum of angle of triangle}

2e+25=180°

2e=155

e=155/2

e=77.5°

e.

55°+55°+f=180°{sum of angle of triangle}

f=180-110

f=70°

hope it helps.

A six-week fitness program was designed to decrease the time it takes retired individuals to walk one mile. At the beginning of the program, 20 randomly selected retired individuals were invited to participate, and their times to walk a mile were recorded. After the six-week program, their times to walk a mile were again recorded. Most participants saw little to no improvement in their times to walk one mile; however, a few participants saw drastic improvements in their times to walk one mile. The program director would like to perform a hypothesis test to determine if the program reduces the mean time for retired individuals to walk a mile. Which of the following statements is true?

a. Because there are 40 observations in total, the sample size is large enough to assume that the sampling distribution of the sample mean differences is approximately normal.
b. Because the walk times before and after the program are paired, a hypothesis test is not appropriate.
c. The sampling distribution of sample means can be assumed to be approximately normal because the distribution of the sample data is not skewed.
d. Because the sample size of 20 is less than 30 and the improvements in walk times in the sample data appear to be skewed, the distribution of sample means should not be assumed to be approximately normal.
e. Because the program recruited only retired individuals, the distribution of sample means should not be assumed to be approximately normal.

Answers

Answer:

c. The sampling distribution of the sample means can be assumed to be approximately normal because the distribution of the sample data is not skewed

Step-by-step explanation:

From the given data, we have;

The category of the sample = Retired individuals

The number of participants in the sample = 20

The duration of program = six-weeks

The improvement seen by most participants = Little to no improvement

The improvement seen by few participants = Drastic improvement

Therefore, given that the participants are randomly selected and the majority of the participants make the same observation of improvement in the time to walk a mile, we have that, the majority of the outcomes show little difference in walk times after the program, therefore, the distribution of the sample data is not skewed and can be assumed to be approximately normal

I need help I don’t understand

Answers

Answer: CA= 13.5

Step-by-step explanation:

tan 64 = CA/6.6

2.05 = CA/6.6

CA = 13.5

Ta-Da!

A rectangular prism has a volume of 240cm. It's height measures 8 cm. What is the area of its base

Answers

Answer: Base = 90 [tex]cm^{2}[/tex]

Step-by-step explanation:

find the probability that a randomly selected point within the circle falls in the red shaded area round to the nearest hundredth r = 4 cm 2.5 cm 3 cm 3 cm

Answers

Answer:

[tex]p\approx 0.39[/tex]

Step-by-step explanation:

We are given a circle of radius 4 cm, and a triangle inscribed within the circle with a vertical height of 6.5 cm and a base of 6 cm.

To find the probability a randomly selected point lands in the red area, we can divide the red area by the total area.

The area for a circle is given by:

[tex]A=\pi r^2[/tex]

Since the radius is 4 cm, the area of the circle or total area is:

[tex]A=\pi (4)^2=16\pi \text{ cm}^2[/tex]

The area for a triangle is given by:

[tex]\displaystyle A=\frac{1}{2}bh[/tex]

The base of the triangle is 6 cm total and the vertical height is 6.5 cm. Therefore, the area is:

[tex]\displaystyle A=\frac{1}{2}(6)(6.5)=19.5\text{ cm}^2[/tex]

The probability of landing in the red shaded area is:

[tex]\displaystyle p=\frac{\text{Red Region}}{\text{Total Region}}[/tex]

Therefore:

[tex]\displaystyle p=\frac{19.5}{16\pi}\approx 0.39=39\%[/tex]

PLSSS HELP DUE IN 5 MINUTES!!!!
PLEASE DO NOT ANSWER JUST FOR POINTS!!!

LOOK AT THE IMAGE FOR THE QUESTIONS AND ANSWERS
NOTE: The first answer “(0,9)” is incorrect I tried and it was wrong so please it’s either (9,0) or (3,0)

Answers

Answer:

I think it's (0,3) sorry if it not

Answer:

(3, 0)

Step-by-step explanation:

The vertex point is 3 units to the right of the origin, making the x-coordinate 3, but it doesn’t move up or down, meaning that the y-coordinate is 0.

so it’s (3,0)

Btw, the vertex is the point of the parabola where it’s the minimum or maximu (minimum in this case). You answered for the y-interceptm which is where the parabola touches the y-axis.

Phil mows lawns during the summer to earn money for college. He makes $50 per mowed lawn. How many lawns must Phil mow to make at least $1,000? Question 18 options: A) At most 20 lawns B) At least 20 lawns C) At most10 lawns D) At least 10 lawns

Answers

Answer:

20 lawns

Step-by-step explanation:

$1000 divided by $50 = 20

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