The PTA is holding a raffle. The prize is a camera worth $55000. Each raffle ticket costs $2. 29 tickets are sold and a winner is drawn at random. Find the expected value of the purchase of a ticket.

Answers

Answer 1

Answer: $1,894.55

Step-by-step explanation:

The expected value is the sum of the different outcomes multiplied by the probability that that particular outcome comes true.

Probability of winning = 1/29 tickets

Probability of losing = 28/29 tickets

Gain if you win

= Price - cost of tickets

= 55,000 - 2

= $54,998

Loss if lose:

= -$2

Expected value = (Probability of winning * gain if you win) + (Prob. of losing * loss)

= (1/29 * 54,998) + (28/29 * -2)

= $1,894.55


Related Questions

Help!!!!
Given that slope = -4 and a point (-2,5), write an equation in standard form
of the line.

Answers

THE ANSWER IS: 4x+y=-3

first plug in the slope and given point into point-slope form

solve for y to get slope-intercept form

rewrite the equation in standard form

pls plz plz plz plz plz help me pls

Answers

Answer:

7 i think

Step-by-step explanation:

Answer:

8 square units I believe!

Step-by-step explanation:

Hope that helps!

SOLVE FOR w
-3(w + 5) = -6

Answers

Answer:

Step-by-step explanation:

-3w - 15 = -6

-3w = 9

w = -3

Answer:

w = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

-3(w + 5) = -6

Step 2: Solve for w

[Division Property of Equality] Divide -3 on both sides:                              w + 5 = 2[Subtraction Property of Equality] Subtract 5 on both sides:                     w = -3

An equation is shown below:

8(2x − 14) + 13 = 4x − 27

Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)

Part B: What value of x makes the equation true? (4 points)

Amd please show the work.

Answers

Step-by-step explanation:

first distribute the first equation

8(2x) - 8(14) +13 = 4x -27

16x - 112 +13 = 4x -27

then combine like terms

16x - 99 = 4x -27

subtract 4x from both sides

12x - 99 = -27

add 99 to both sides

12x = 72

divide both sides 12 to isolate the x

x = 72/12 = 6

n(U) = 147, n(A) = 48, n(B) = 68, n(A ∩ B) = 19, n(A ∩ C) = 22, n(A ∩ B ∩ C) = 10, n(A' ∩ B ∩ C') = 39, and n(A' ∩ B' ∩ C') = 36.
Find n(C).
A) 26
B) 14
C) 30
D) 46

Answers

Answer:  D) 46

===========================================================

Explanation:

We have these 8 given facts

N(U) = 147n(A) = 48n(B) = 68n(A ∩ B) = 19n(A ∩ C) = 22n(A ∩ B ∩ C) = 10n(A' ∩ B ∩ C') = 39n(A' ∩ B' ∩ C') = 36

Draw out a rectangle to represent the universal set U. Inside this rectangle, draw three overlapping circles. Refer to the diagram below (imagine that none of the values have been written down just yet). These circles are A, B, and C.

Now we'll focus on the 8 facts above. To start off, we'll look at fact 6 which says n(A ∩ B ∩ C) = 10. This means there are 10 items inside all three sets. This is the middle most region where all three circles overlap with one another.

Then move to fact 4 and we see that 19 items are in sets A and B at the same time. Subtract off those 10 items in all three sets and we have 19-10 = 9 items in set A and B, but not set C. We can write this as n(A ∩ B ∩ C') = 9 if you wanted to stay consistent with this math notation. Write "9" in the overlapped region between A and B, but not inside circle C.

Now go to fact 5. We have n(A ∩ C) = 22 telling us there are 22 items in both sets A and C at the same time. Subtract off the 10 in all three sets and we're left with 22-10 = 12 items in set A and set C, but not set B. We can write this as n(A ∩ B' ∩ C) = 12. Write "12" in the region between A and C, but outside of circle B.

If you're stuck anywhere, refer to the diagram below. Imagine that not all of the values have been filled in just yet.

---------------------------

So far you should have the numbers 10, 9 and 12 written in those positions I mentioned. Circle A is mostly filled out. We're missing the region that's inside A but outside both B and C; however, we can find that to be 17. Why is this? Well because n(A) = 48 and the other values (10, 9 and 12) add to 10+9+12 = 31. Then note how 31+17 = 48. So we must have 17 items in circle A but outside the other circles. We can write this as n(A ∩ B' ∩ C') = 17

In short, all of the values in circle A must add to 48. We have 17+10+9+12 = 48.

From fact 7, we can see that n(A' ∩ B ∩ C') = 39 meaning there are 39 items in circle B and not in any other circle. So we'll fill this value in as well.

The last value to fill in is the 36 from fact 8. This goes outside all of the circles.

The venn diagram below shows all of these values filled in that I mentioned so far. The missing two blank regions in circle C can be thought of as one region for the sake of simplicity.

---------------------------

Using that diagram of filled in values, add up every number written down:

17+9+39+12+10+36 = 123

We have 123 items so far in the universal set

We're told that n(U) = 147, meaning there are 147 items total in the universal set.

This must mean that 147-123 = 24 items are in the two blank regions of circle C. We don't need to break down how the 24 splits up.

That 24 adds to the other numbers inside circle C to get to the final answer

12+10+24 = 46

Choice D is the answer.

Side note: you could use n(B) = 68 to help break down those two blank regions of circle C, but that's just unnecessary extra work.

Reduce to simplest form
+

Answers

Answer:

?

Step-by-step explanation:

What is the question?

ratio of 12 seconds to 1 hour​

Answers

12:3600

1:300

I edited it lol

hope that helps

A 26-year-old male buys 100/300/100 liability insurance, collision insurance with a $100 deductible, and comprehensive insurance with a $250 deductible What is his total annual premium? Liability Insurance Type Bodily injury Amount Premium 25/50 $220 50/100 $310 100/300 $450 25 $175 50 $245 100 $375 Property damage Collision & Comprehensive Premiums Deductible Collision Comprehensive $215 $129 $250 $185 $102 $500 $148 $85 $100 Rating Factor a Male 3.0 Female 1.45 Age 17-20 21-24 25-29 1.2 215 1.55 1.0 $1142.00 $1765.45 $1770.10 $1785.25​

Answers

Correct me if I’m wrong, I believe you have to add all of those numbers together. Then divide after and plug in those remaining digits

Answer: $1770.10

Step-by-step explanation:

Step 1.

450+ 375= 825

Step 2.

825+ 215+ 102= 1142

Step 3.

1142 × 1.55= 1770.1

Pls help due in 10 minutes

Answers

Answer:

Boy I'm really boutta get to yo pickle chin ahh boy, egg head like collard greens head a//ss boy, oh hell nah boy yo dirt ahh boy stank ahh boy afro head ahh, lip gloss chin ahh boy ugly ahh boi

Step-by-step explanation:

Aawdadakdaw da  awdwa dadeefdcdcs

2,5 1,3. 9,20. 13,30. ​

Answers

Answer:

13/10  < 25/10  < 92/10  < 133/10

Step-by-step explanation:

13/10 is less than 5/2 is less than 46/5 is less than 133/10

If a scientific team uses special equipment to measures the pressure under water and finds it to be 282 pounds per square foot, at what depth is the team making their measurements?

Answers

p=282 pounds per square foot =1 376.8 kg/m2

d- density of water

d≈997 kg/m³

p=d*h

h=p/d

h=1 376.8/997

h=1.38 m (about 4530 feet 105⁄64 inches)

How would yoy simplify 4(5+x)

Answers

Answer:

4x + 20

Step-by-step explanation:

4(5 + x) = 4 * 5 + 4 * x = 20 + 4x = 4x + 20

Answer- 4x add 20

Hope this helps you out! Cya

Find the missing lengths or missing angles.

Answers

Answer:

M = 70° ( base angles of isosceles triangles are equal)

Answer: M = 70° ( base angles of isosceles triangles are equal)

Step-by-step explanation:

Treyvion runs a total of 48 miles in 12 days, how many miles can he run in 20 days?​

Answers

Answer:

80 miles in 4 days.

Step-by-step explanation:

48/12 = 4

4 miles per day

4 × 20 = 80

80 miles in 4 days

36 - 40. In order to save for her high school graduation, Marie decided to save P200 pesos at the end of each month. If the
bank pays 0.250% compounded monthly, how much will her money be at the end of years?​

Answers

Answer:

200.4 at 0.25%

Step-by-step explanation:

Given data

P= P200

r= 0.25%

t= 1 year

n= 12

A= P(1+ r/n)^nt

substitute

A= 200(1+ 0.0025/12)^12*1

A= 200(1+ 0.00020833333)^12

A= 200(1.0002)^12

A= 200* 1.002

A= 200.4

Hence the amount is 200.4 at 0.25%

if MJ is in grade 8, then he is 14 years old.​

Answers

Answer:

True

Step-by-step explanation:

because the grade 8 students can be 14 years old

Three consecutive integers have a sum of 48. Find the integers.

Answers

Answer:

15,16,17

Step-by-step explanation:

Consecutive intigers: numbers that go in order (eg. 1,2,3....45,46,47)

x+x+1+x+2=48

3x+3=48

3x=45

x=15

15,16,17

Mr. Clauson bought boxes of lights to decorate his house for the holidays. He used 998 boxes containing 24 lights per box. How many lights did Mr. Clauson use to decorate his house?

Answers

Answer:

23952

Step-by-step explanation:

Answer:

23952

Step-by-step explanation:

so you would multiply 998 by 24 to get the answer

How do you graph y = (4 – x)(x + 2)?

Answers

Answer: look at the picture

Step-by-step explanation: hope this help

A farmer owns a strip of land next to an interstate. It is 1 mile long and 1/6 mile wide. What is the area of this strip of land in square miles?

Answers

Answer:

1/6 square miles

Step-by-step explanation:

lw=a

1*1/6=1/6

Answer:

1/6 square mlies

Step-by-step explanation:

Michael is building a skateboard ramp He cannot decide how long the ramp should be so he draws the blueprint below. Michael draws a vertical line in the big triangle AAGH to form the AABC Michael determines the slope of both triangles to find out which ramp will be steeper​

Answers

Answer:

The answer is below

Step-by-step explanation:

The slope of a line passing through two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by:

[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}[/tex]

The slope of triangle ABC is gotten by finding the slope of line AC. Line AC passes through the point A(15, 1) and C(10, 3). The slope of triangle ABC is given by:

[tex]slope\ of\ triangle\ ABC=\frac{3-1}{10-15}=-0.4\\[/tex]

The slope of triangle AGH is gotten by finding the slope of line AH. Line AH passes through the point A(15, 1) and H(0, 7). The slope of triangle AGH is given by:

[tex]slope\ of\ triangle\ AGH=\frac{7-1}{0-15}=-0.4\\[/tex]

Since both triangles have the same slope, therefore their steepness is the same.

Write the multiples for the
odd numbers between 1 and 10.

Answers

Answer:

3, 6, 9

Step-by-step explanation:

A rectangle has a length of (x+3) centimeters and a width of 1/2 x centimeters. If the perimeter is 24 centimeters, what is the length of the rectangle?

Answers

Answer:

Step-by-step explanation:

Perimeter = 2L + 2W = 24

L+W = 12

(x+3)+(x/2) = 12

2x+6 +x = 24

x = 6 cm

L = x+3 = 9 cm

Which sign makes the following statement true? 2/5 _____ 6/15

Answers

Answer:

2/5=6/15

Step-by-step explanation:

2/5

3x2=6

3x5=15

compare they are same

give me brainliest pls

The equal sign completes the give incomplete mathematical statement.

What is a mathematical function, equation and expression?            function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

The given incomplete expression is -

2/5 _____ 6/15

The given expression is -

2/5  ____  6/15

2/5  ____ 2/5

0.4  ____ 0.4

0.4 = 0.4

Therefore, the equal sign completes the give incomplete mathematical statement.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

What is the 8th term of the sequence 12, 17, 22, 27, 32,…?
A. 47
B. 42
C. 52
D. None of these choices are correct.

Answers

Answer:

A. 47

Step-by-step explanation:

Hope it helps! If you want an explanation, ask in the comments and I'll give you one!

A.47
The 6th term is 37
The 7th term is 42
The 8th term is 47

Does anybody know how to do this?

Answers

Answer:

hajajajanannanssjaiwowi

John plans a journey to visit his sister in Newcastle.
He wants to fill up the bottle for the windscreen washer before he starts the journey.
John mixes 1 part screen wash with 5 parts water.
He uses 125 ml of screen wash.
(a) How much water should John use?​

Answers

Step-by-step explanation:

For the series-parallel network: a. Find the current I. b. Find the currents /3 and 19.

A rectangular patio has a length of (3x-6) and a width of 5x, find the perimeter in simplest form

Answers

The answer is 3(x−2)

Write the sentence as an equation.

251 is equal to m reduced by 119

Answers

Answer: 251=m-119

Step-by-step explanation:

251=m-119 There is nothing to explain.

HURRY IM TIMED!!!
Select all the expressions that are equivalent to 21.
A.210 ÷ 10
B.741 ÷ 39
C.630 ÷ 30
D.756 ÷ 36
E.200 ÷ 10

Answers

Answer:

A, C, and D

Step-by-step explanation:

Answer: A - C - D  

Step-by-step explanation:

A= 21

B= 19

C= 21

D= 21

E= 20

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