The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $9 each and will sell 500 tickets. There is one $2,000 grand prize, three $300 second prizes, and eleven $40 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.

Answers

Answer 1

Answer:

-$2.32

Step-by-step explanation:

Give that

The selling price per ticket is $9

And the number of tickets sold is 500

So,

There is one grand prize, three $300 second prize, and eleven $40 third prizes

We need to find out the expected value of the profit

[tex]= \frac{1}{500} \times 2000 + \frac{3}{500} \times 300 + \frac{11}{500} \times 40\\\\[/tex]

= 4 + 1.8 + 0.88

= 6.68

Now the expected profit is

= $6.68 - $9

= -$2.32


Related Questions

Past experience indicates that the standard deviation of the time it takes for a dentist to perform dental scaling for patients is 4 minutes. A researcher wishes to estimate the mean time to perform dental scaling with 95 percent confidence and a margin of error of ± 0.75 minutes. Given this, what must the sample size be? Round up your answer to the next whole number.

Answers

Answer:

n = 110

Step-by-step explanation:

Margin of Error :

Zcritical * s/ sqrt(n)

s = standard deviation = 4

Margin of Error = ±0.75

Zcritical at 95% level of confidence = 1.96

Margin of Error = Zcritical * s/ sqrt(n)

0.75 = 1.96 * 4 / sqrt(n)

0.75 = 7.84 / sqrt(n)

Take the square of both sides

0.5625 = 61.4656 / n

0.5625 * n = 61.4656

0.5625 = 61.4656

n = 61.4656 / 0.5625

n = 109.27217

About 110 samples

3 Ms. Sosa's principal gave her $350 to spend on school supplies at the beginning of the year. She bought 10 packs of dry erase markers for $9.98 each and 15 packs of pre-sharpened pencils that cost \$12.99 each . How much does she have left to spend?
A $302.03
B $644.65
C $55.35
D $295.65

Answers

Answer:The answer is D

Step-by-step explanation: Mark me brainliest please

Fernando and Maria are at opposite sides of a park. They plan to meet later at a fountain that is located somewhere between them. Maria will arrive at the fountain first, before Fernando even leaves his starting location. The ratio of Maria's starting location to the fountain to Fernando's starting place is 5:3. What is the location of the fountain? Round to the nearest tenth, if necessary. ( ,

Answers

Answer: the fountain is located at point (-1,-0.5)

Step-by-step explanation:

Answer: (-1 , -0.5)

Step-by-step explanation:

someone pls help me, i will mark brainliest(no links)

Answers

A and D are proportional

SOMEONE PLEASE help me answer this

Answers

Answer:

5.7 m is the answer

Step-by-step explanation:

a = 7m

b = ?

c = 9m

According to the Pythagorean theorem,

a² + b² = c²

7² + b² = 9²

49 + b² = 81

b² = 81 - 49

b² = 32

b = 5.656

Round to the nearest tenth,

b = 5.7 m

Help, please will put brainiest 20 ponits

Answers

Answer:

15

Step-by-step explanation:

you would first have to put the numbers into this equation

180=(6x-8)+38+60

now you have to solve for x

180=(6x-8)+98

82=6x-8

100=6x

15=x

x=15

hope this helps! have a nice day :)

Answer:

its c

Step-by-step explanation:

because every angle in a acute triangle has to be less than 90 and the other two look bigger than angle x


[tex](x + 2)(3x - ) = 0[/tex]

Answers

Answer:

∝∦⊄↑∫∫π≡³≥α㏑∩⊃∞

Step-by-step explanation:

Find the solution set of the inequality:

82 + 2 > 34

SOMEONE PLS HELP

Answers

Answer:

82+2>34

84>34

True

I hope this helps :)

ASAP PLEASE HELP!!! How many cubic feet of sand will fill a sandbox with the following dimensions: 6 ft long x .5 ft high x 5 ft wide?

Answers

Answer:

15ft³

Step-by-step explanation:

Simplify. Please help.

Answers

Answer:

I believe it is B

Step-by-step explanation:

if correct pls mark brainliest

Answer:

4^8

Step-by-step explanation:

When multiplying powers, keep the base the same and add the exponents.

4^6 x 4^2 = 4^8

Sara is making a key chain using the bead design shown.

What fraction of the beads in her design are either red or blue?
pcagm15g560619

Answers

Answer is 11/15
This is the answer

What is the value of X in the equation -6+ X equals -2
1) 8
2) 4
3) -4
4) -8

Answers

2) 4

Hope this helps :T

The length of one edge of a cube is 3 units. What is the volume of this cube in cubic units

Answers

Answer:

27 cubic units

Step-by-step explanation:

A cube has equal dimensions. So the volume is 3units × 3units × 3units or 27cubic units

b. If x represents a number, does
•x always
represent 40% of that number? Explain your reasoning.

Submit

Answers

Answer:

no it doesn't as no is variable.

Mr. adhakari deposited a sum of RS 2400 in a bank at 5% per year simple interest. how much interest would he get at the end of 4 year ?​

Answers

Answer:

Mr. adhakari deposited a sum of RS 2400 in a bank at 5% per year simple interest. how much interest would he get at the end of 4 year ?​ - 480 rs

please help!!!!!!!!!!!!

Answers

Answer:

h = 2 ft

Step-by-step explanation:

V = lwh

144 = (9)*(8)*(h)

144 = (72)*h

h = 144/72

h = 2 ft

the u.s. produces 5.39x 10​

Answers

The expression of 5.39 × 10⁷ metric tons in standard notation is; 53,900,000 metric tonnes

How to express exponents in standard notation?

We are given the quantity of wheat produced each year as 5.39 × 10⁷ metric tons.

Now, that quantity is in exponent form and the way to express it in standard notation is to expand the exponent which gives;

5.39 × 10⁷ = 5.39 * 10 * 10 * 10 * 10 * 10 * 10 * 10

⇒ 5.39 * 10000000

⇒ 53,900,000 metric tonnes

The complete question is;

The U.S. produces 5.39 × 10⁷ metric tons of wheat each year. Express that number in standard notation

Read more about Standard notation at; https://brainly.com/question/5756316

#SPJ1

Answer this ASAP : The company is also having a problem deciding on a torso design for Tinker. Each design has a height of 10 cm. Below are the three choices they have decided on. 3) Each of the torsos is filled with chocolate. One of the managers wants to throw out Design C. He argues that the amount of chocolate needed to fill it is so much more than the other two types that it shouldn't even be a choice. Is he right or wrong? Explain.​

Answers

Answer:

All three designs will hold he same amount of chocolate (60 cubic centimeters). So, the manager is wrong.

Step-by-step explanation:

Let's find the volume of each design.

For Design A, the cross section is a rectangle rectangle measured 3 cm by 2 cm.

Therefore, the area of the cross section is:

[tex]A_1=3(2)=6\text{ cm}^2[/tex]

Since the height is 10 cm, the total volume of Design A is:

[tex]V_1=10(6)=60\text{ cm}^2[/tex]

For Design B, the cross section is also a rectangle measuring 3 cm by 2 cm.

So, the area of the cross section is:

[tex]A_2=3(2)=6\text{ cm}^2[/tex]

And the height is still 10 cm. So, the total volume of Design B is:

[tex]V_2=6(10)=60\text{ cm}^3[/tex]

Note that we use the vertical height, and not the slant height. If this seems confusing, imagine each layer being a cracker. If 10 crackers were laid on top of each other perfectly, that is Design A. However, if we were to move each cracker to the right a bit, that is Design B. The volume of both cases are the same.

For Design C, the cross section is a triangle with a base length of 6 cm and a height of 2 cm.

So, the area of the cross section is:

[tex]\displaystyle A_3=\frac{1}{2}(2)(6)=6[/tex]

And since the height is 10 cm, the volume of Design C is:

[tex]V_3=6(10)=60\text{ cm}^3[/tex]

Therefore, as we can see, all three designs will hold he same amount of chocolate. So, the manager is wrong.

the sum of two consecutive odd number is 108. find the smaller number​

Answers

9514 1404 393

Answer:

  53

Step-by-step explanation:

Their average is the sum divided by 2: 108/2 = 54. This average is the even number between the two odd numbers of interest.

The smaller number is 53.

Sami opened an account with a deposit of $4,000.
• The bank pays 3.5% annual simple interest on this account
• Sami did not make any additional deposits or withdrawals.
How long will it take for Sami to earn $2,100 in interest on this
account?

Answers

835.71$

Step-by-step explanation:

is the answer just done it

PLEASE HELP
BRAINLIEST
NO FILE HOSTING LINKS!!
Answer each part. If necessary, round your answers to the nearest hundredth.

Answers

Answer:

a) 11/7 pages or about 1.57

b) 23/11 dollars or 2.09090909....... (goes on forever)

BRAINLIEST PLS

Mr. Dorsey and his family are going on a road trip for their family vacation. It will take them 300 total miles. After the first 3 days, they have driven 180 miles. What percent of the driving distance is left after the first 3 days?
Step 1 - How many miles do they have left to drive? ______________

Step 2 - Find the percent this is equal to.

____________ = ______________
100

giving brainly out

Answers

300-180=120 so there is 120 miles left
The percent of the journey is 60% so 40% left
Hoped this helped

girlcome 5324611502
p:here​

Answers

Answer:

what

Step-by-step explanation:

Answer:

im confused

Step-by-step explanation:

Help please due in 45 minutes!!!

Answers

Answer:

x=8

y=1

the point would be at (8,1)

help please i genuinely cant

Answers

Answer:

Part A: 3x + 36 = 180

Part B: x = 48

Step-by-step explanation:

A straight line is equal to 180 degrees. Knowing this, both 3x and 36 should be equal to 180. Write an equation:

3x + 36 = 180

Solve the equation:

3x + 36 = 180

Subtract 36 from both sides

3x = 144

Divide both sides by 3 to isolate the variable

x = 48

Check your work:

3(48) + 36 = 180

144 + 36 = 180

180 = 180

Correct

Witch value of x makes this equation true 2(2x - 4) + 4=12

A) 3
B) 4
C) 5
D) 6

Answers

Answer:

X=4

Step-by-step explanation:

2(2x-4)+4=12

4x-8+4=12

4x-4=12

4x-4+4=12+4

4x=16

x=4

Work out
25
% of
401.16
m

Answers

25 hope this helps !

Answer:

100.29m

Step-by-step explanation:

Which of the following are possible answers you might get when solving a system of equations? Select all that apply


A. One Solution
B. No Solution
C. Infinite Solutions
D. Unique Solutions

Answers

What is this based off of? There is not a picture of the equation or graph for us to know. Also please don’t click on that link posted by someone else, it’s a tracking link.

A study will be conducted to investigate whether there is a difference in pain relief for two brands of headache pills, N and P. Participants will be randomly assigned to one of two groups. One group will take pill N when they experience a headache, and the other group will take pill P when they experience a headache. Each participant will record the number of minutes it takes until relief from the headache is felt. The mean number of minutes will be calculated for each group. Which of the following is the appropriate test for the study?

a. A two-sample z-test for a difference between population proportions.
b. A two-sample t-test for a difference between population means.
c. A matched-pairs t-test for a mean difference.
d. A one-sample z-test for a population proportion
e. A one-sample t-test for a population mean

Answers

Answer:

b.  TWO SAMPLE T TEST FOR POPULATION MEANS

Step-by-step explanation: the problem mentions difference and the mean number of minutes so you know it'll be a difference in population MEAN

Victoria has a jewelry box shaped like a rectangular prism! Please help!!

Answers

Answer:

C.

Step-by-step explanation:

Length * width * height = volume

15*9*9 = 1215

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