Five thousand tickets are sold atâ $1 each for a charity raffle. tickets are to be drawn at random and monetary prizes awarded asâ follows: 1 prize of â$500â, 3 prizes of â$300â, 5 prizes of â$30â, and 20 prizes ofâ $5. what is the expected value of this raffle if you buy 1â ticket?

Answers

Answer 1

Answer:

-$0.67

Step-by-step explanation:

If you buy one ticket, the possible outcomes are:

100% chance of spending $1 (buying the ticket)

1 in 5,000 chance of winning $500

3 in 5,000 chance of winning $300

5 in 5,000 chance of winning $30

20 in 5,000 chance of winning $5.

The expected value of the raffle is determined by:

[tex]E(X)=-1+\frac{1}{5,000}*500+\frac{3}{5,000}*300+\frac{5}{5,000}*30+\frac{20}{5,000}*5\\E(X)=-\$0.67[/tex]

The expected value of this raffle if you buy 1 ticket is -$0.67.


Related Questions

The graphs show the distances traveled by two people walking at constant rates. Drag to the table the unit rate that matches each graph.

Answers

Answer:

from left: 220, 177

Step-by-step explanation:

unit rate = first derivative = slope

first graph;

slope = (880-660)/(4-3) = 220 ft/min

2nd graph;

slope = (177-0)/(1-0) = 177 ft/min

I need help with this one I’m stuck on it.

Answers

Answer:4.5

Step-by-step explanation:

Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 3 cups of cream. Into each quart of Continental Mocha go 1 egg and 3 cups of cream. You have in stock 500 eggs and 900 cups ofcream. How many quarts of each flavor should you make in order to use up all the eggs and cream?

Answers

Answer:

in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;

Creamy vanilla x = 200 quarts

Continental mocha y = 100 quarts

Step-by-step explanation:

Let x and y represent the number of quarts of Creamy Vanilla and Continental Mocha that should be made in order to use up all the eggs and cream respectively.

For Creamy Vanilla go 2 eggs and 3 cups of cream

For Continental Mocha go 1 egg and 3 cups of cream.

Total number of eggs = 500 eggs

Total number of cream cups = 900 cups.

For the eggs;

2 eggs × x + 1 egg × y = 500

2x + y = 500 .......1

For the cream cups;

3 cups × x + 3 cups × y = 900

3x + 3y = 900

Dividing through by 3

x + y = 300 .......2

Solving the simultaneous equation;

Subtracting equation 2 from 1

(2x + y) - (x+y) = 500-300

2x -x = 200

x = 200

Substituting x = 200 into equation 2;

200 + y = 300

y = 300 - 200

y = 100

Therefore, in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;

Creamy vanilla x = 200 quarts

Continental mocha y = 100 quarts

***#BRAINLIEST IF ANSWERED***
Segment QR is tangent to circle P at point Q. What is the measure of
angle PQR? *

37°
53°
90°
97°​

Answers

Answer:

90

Step-by-step explanation:

its a right angle

8 of 8
Find the product of 505 and 68

Answers

Answer:

Step-by-step explanation:

505 × 68 = 34340

Answer:

34340

Step-by-step explanation:

Plz mark me brainliest!

Which two consecutive whole numbers does 39 lie between? Why?
5 and 6 because 39 falls between 52 = 25 and 62 = 36.
4 and 6 because 39 falls between 42 = 16 and 62 = 36.
6 and 7 because 39 falls between 62 = 36 and 72 = 49.
5 and 7 because 39 falls between 52 = 25 and 72 = 49​

Answers

Answer:

Step-by-step explanation:

6 and 7

A piece of aluminum with a mass of 100.0 g has a temperature of 20.0°C. It absorbs 1100 J of heat energy. What is the final temperature of the metal?

Answers

Answer:

31.81°C

Step-by-step explanation:

Using the formula for calculating heat energy H = mcΔT

m = mass of the aluminum (in g/kg)

c = specific heat capacity of aluminum

ΔT = change in temperature = T - Ti (in °C)

T is the final temperature

Ti is the initial temperature

Given m = 100.0g,  c = 0.931096J/g °C, Ti = 20°C, H = 1100J T = ?

Substituting the given values into the formula;

1100 = 100*0.931096 (T - 20)

1100 = 93.1096T - 1862.192

93.1096 T = 1100+1862.192

93.1096 T  = 2962.192

T = 2962.192/93.1096

T = 31.81°C

The final temperature of the metal is 31.81°C

Answer:

31.81c

Step-by-step explanation:

1100 = 100*0.931096 (T - 20)

1100 = 93.1096T - 1862.192

93.1096 T = 1100+1862.192

93.1096 T  = 2962.192

T = 2962.192/93.1096

T = 31.81°C

A hemisphere is exactly one-half of a sphere. Find the volume of a hemisphere where the radius is 6 m. (Round to the nearest tenth)

Answers

Answer:

144π or 452.4

Step-by-step explanation:

Volume of a Sphere Formula: V = 4/3πr³

Step 1: Plug in 6 for r

V = 4/3π(6)³

V = 288π

Step 2: Divide by 2

V = 288π/2

V = 144π

In still water, a boat averages 18 miles per hour (mph). It takes the same amount of time to travel 33 miles downstream (with the current) as it takes to travel 21 miles upstream (against the current). What is the rate of the water's current

Answers

Answer:

The rate of the water current is 4mph

Step-by-step explanation:

Let c= the rate of the current in mph

18+c= the rate of the boat going downstream in mph

18-c= the rate of the boat going upstream in mph

t = time in hrs for both upstream and downstream trips

Going downstream:

33=(18+c)*t (1)

Going upstream

21=(18-c)*t (2)

From (1)

33=(18+c)*t

t=33/1(8+c)

Substitute t=33/(18+c) into (2)

21=(18-c)*t

21=(18-c)*33/(18+c)

Cross product

21(18+c)=33(18-c)

378+21c=594-33c

21c+33c=594-378

54c=216

Divide both sides by 54

54c/54=216/54

c=4

Therefore,

The rate of the water current is 4mph

ernesto tiene que enviar 4 encomiendas que tienen una masa del total de ocho decimos de kg. ¿que fraccion de kg. tiene cada una

Answers

⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.

Y

¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden

para expresar el peso de cada uno de ellos, tenemos

la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:

8 kg/4 s

2 kg por encomiendaOfertamos la fracción que representa cada una en el total:

kg por encomienda/total de kg

2/8 x 1/4

3
4
5
The table represents a function.
What is f(-2)
f(x)
-3
3
-1
x
-6
-2
0
3
1
0 1
4
-2
3

Answers

Answer:

The answer is option D.3

Step-by-step explanation:

From the table above f(-2) = 3

Hope this helps you

if you graph the system of Inequalities given below, which points would lie in the solution set? Select all the correct answers.
x-y2-4
2x-ys 5
2y+ x>1

Answers

Answer:

(-1,3)

Step-by-step explanation:

we need to replace the values x and y for every point and see if the point satisfies all the inequations.

Point (-2,3):

x - y ≥ -4

-2 - 3 ≥ -4

-5 ≥ -4

Then, -5 is not greater than -4, so that point is not a solution.

Point (-1,3):

x - y ≥ 4                      2x - y ≤ 5                2y + x > 1

-1 - 3 ≥ 4                     2(-1) - 3 ≤ 5             2(3) + (-1) > 1

-4 ≥ -4                        -5 ≤ 5                            5 > 1

Then, (-1,3) is a solution

Point (0,0):

x - y ≥ 4                      2x - y ≤ 5                2y + x > 1

0 - 0 ≥ 4                      2(0) - 0 ≤ 5             2(0) + (0) > 1

0 ≥ -4                           0 ≤ 5                            0 > 1

Then, 0 is not greater than 1, so that point is not a solution.

Point (2,-2):

x - y ≥ 4                      2x - y ≤ 5              

2 - (-2) ≥ 4                  2(2) - (-2) ≤ 5          

4 ≥ -4                           6 ≤ 5                    

Then, 5 is not greater than 6, so that point is not a solution.

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

ANSWER A

Step-by-step explanation:

Answer:

it has a horizontal asymptote at y=O

Step-by-step explanation:

answer is A.

because A linear parent function is the equation y = x or f(x) = x.

If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.

what expressions are equivalent to 4d+6+2d

Answers

Answer:

6d+6 is the correct answer

Step-by-step explanation:

What is the equivalent radian measure of 540°?
1
radians
3
radians
radians
3
3x radians
DONE

Answers

Answer: 3π

I don't see 3π in your answer choices, but I'm assuming the "3x" is supposed to be 3π.

Step-by-step explanation:

To convert from degrees to radians, you multiply by π/180.

[tex]540*\frac{\pi }{180} =3\pi[/tex]

Find m
A. 46
B. 23
C. 69
D. 167

Answers

Answer:

69, nice

Step-by-step explanation:

118-49=69

Answer:

i think its 69, but i think im wrong

Step-by-step explanation:

Which set of steps shows the solution to the equation 3y = -9?
Oy=-9-3; y = 6
Oy=-9 = 3; y = -3
Oy= -9 +(-3); y = 3
Oy = -9 -(-3); y = -6

Answers

Answer:

see below

Step-by-step explanation:

3y = -9

Divide each side by 3

3y/3 = -9/3

y = -3

the answer would be Oy=-9=3; y=-3

?
Jim has 3 cats, 5 dogs, and 2 rabbits. Match each type of ratio to the
correct description of Jim's pets. Drag the items on the left to the
correct location on the right
part-to-part ratio
5 dogs to 10 per
whole-to-part ratio
3 cats to 5 dogs
part-to-whole ratio
10 pets to 2 rab

Answers

Answer:

The correct locations are;

Part to part ratio is 3 cats to 5 dogs

Whole to part ratio is 10 pets to 2 rabbits

Part to whole ratio is 5 dogs to 10 pets

Step-by-step explanation:

The given information are;

The number of cats Jim has = 3

The number of dogs Jim has = 5

The number of rabbit Jim has = 2

The total number of pets Jim has = 3 + 5 + 2 = 10 pets

Therefore;

The fraction of the pets that are cats = 3/10

The fraction of the pets that are dogs = 5/10

The fraction of the pets that are rabbits= 2/10

Therefore we have;

Part to part ratio = 3/10 cats to 5/10 dogs = 3 cats to 5 dogs

Whole to part ratio → 10 pets to 2 rabbits

Part to whole ratio → 5 dogs to 10 pets.

Please answer quick!!

Answers

Answer:

mBC = 96°

mB = 55°

mC = 77°

mAB = 154°

Step-by-step explanation:

The angle mB inscribes the arc mAC, so we have:

[tex]mB = mAC / 2[/tex]

[tex]mB = 110 / 2 = 55\°[/tex]

The sum of internal angles of a triangle is 180°, so in the triangle ABC we have:

[tex]mA + mB + mC = 180[/tex]

[tex]48 + 55 + mC = 180[/tex]

[tex]mC = 180 - 48 - 55[/tex]

[tex]mC = 77\°[/tex]

Using again the property of inscribed angles, we have:

[tex]mAB = 2*mC = 154\°[/tex]

[tex]mBC = 2*mA = 96\°[/tex]

The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph, photo above
Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph (6 points)

Answers

Answer:

a. The graph is non-linear. If the graph was linear, it would be one continuous straight line.

b. The graph is increasing from x = 0 to x = 2, constant at x = 2 to x = 3, and decreasing from x = 3 to x = 5. So, [0, 2) is increasing, [2, 3) is constant, and [3, 5] is decreasing.

c. The ant starts to travel 6 cm away from the nest for 2 seconds. Between 2 to 3 seconds, it stays the same distance away. Then, after 3 seconds, it comes back to the base. At 5 seconds, it has returned.

Step-by-step explanation:

Answer:

Part A: it is linear because it is not curving and it consists of straight lines.

Part B: in side A it is increasing because it has a positive slope. In side b it is constant because the slope is 0 since it is straight. Finally, side C is decreasing because the slope is negative.

Part C: during side A the ant is crawling out of the hole in 2 seconds. After that, the ant stops for 2 more seconds as shown in side B. Then, he crawls back into the hole as shown by the decrease in distance due to the slope.

Step-by-step explanation:

Nadine sold two kinds of tickets to her class play. Student tickets cost ​$3 ​each, and adult tickets cost ​$5.50 each. If Nadine sold a total of 25 tickets for ​$90​, how many student tickets did she​ sell?

Answers

Answer:

19 tickets

Step-by-step explanation:

Nadine sold two kinds of tickets to her class play

The student tickets cost $3

Adult tickets cost $5.50

Nadine sold a total of 25 tickets for $90

We are required to find the number of students tickets that were sold

Let x represent the number of tickets sold to students

Let y represent the number of tickets sold to adults

x + y= 25

x= 25-y..........equation 1

Since the total cost of the ticket is $90

3x + 5.50y=90..........equation 2

Substitute 25-y for x in equation 2

3(25-y) + 5.50y= 90

75-3y+5.50y= 90

75+2.5y= 90

Collect the like terms

2.5y= 90-75

2.5y=15

Divide both sides by 2.5

2.5y/2.5=15/2.5

y= 6

Substitute 6 for y in equation 1

x= 25-y

x= 25-6

x= 19

Hence Nadine sold 19 student tickets

Find m∠V. Struggling in geometry! Help plz :/

Answers

Answer:

16 degrees

Step-by-step explanation:

74 + 90 = 164

180-164 = 16

The answer is 16.

Both triangles are congruent so that means Angle T is 74 degrees. There is also a right angle which means there is 90 degrees in that angle. A triangle always has 180 degrees so add 74+90 which is 164. Then subtract 180-164=16
Good luck :)

What is the area of triangle qrs?

Answers

Answer:

area=HbB/2

hope you understand

In 1860, gingham cloth sold for
$0.25 per yard. Mrs. Olsen bought
16.4 yards to make clothes for her
whole family. How much did she
spend on cloth?

Answers

Answer:65.6

Step-by-step explanation:

So $0.25 per yard

16.4/$0.25=65.6

PLEASE ANSWER THIS GEOMETRY QUESTION ASAP FOR ME PLEASE!!

Answers

Answer:

60°

Step-by-step explanation:

30° + 90° = 120°

180° - 120° = 60°

180 is the sum of interior angels

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?

Answers

The answer is 9.8 m/s2

Answer:

B.  9.8 m/s^2

Step-by-step explanation:

I got it correct on edg2020

What are the coordinates of the point that partitions AB according to the part-to-part ratio 4:3?

Answers

Answer:

(-1,0)

Step-by-step explanation:

Here, our interest lies in finding the coordinates that splits the points (-5,-8) and (2,6) in the ratio 4:3. Let the point that does the splitting be called point P

The section formula is used here and the point we are having would be;

P = (mx2 + nx1)/(m+n) , (my2 + ny1)/(m + n)

From the question;

m = 4 and n = 3

x1 = -5, y1 = -8

x2 = 2 , y2 = 6

Plugging these values in the equation above, we have;

P = [4(2) + 3(-15)](3+4), [4(6) + 3(-8)]/(3+4)

P = (8-15)/7, (24-24)/7

= -7/7, 0/7

= (-1, 0)

The coordinates of point P is (-1,0)

translate into an algebraic expression: x is increased by 50% and decreased by 30% . What is the result?

Answers

Answer:

x+4/5x

Step-by-step explanation:

x is increased by 80% 0f it self

80%of x= 4/5x

... x+4/5x


Create a rectangle around the parallelogram. The dimensions of this rectangle are .

Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is square units.

Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is square units.

Answers

Answer:

First drop down: 11 by 20

Second drop down: 110

Third drop down: 110

The new coordinates of the rectangle will be A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) .

What is a parallelogram?

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

Given, a parallelogram with the dimension of A(-3, -1), B(7, 9), C(8, -1), and D(-2, -11)

The rectangle around the parallelogram will cover the parallelogram with horizontal and vertical lines,

Thus the new coordinates of the rectangle will be:

A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) as shown in the figure,

Learn more about parallelograms here:

https://brainly.com/question/29147156

#SPJ3

Complete question:

What is the order of this from least to greatest. 4.37, 5.844, 5 21/25,117/20

Answers

21/25, 4.37, 5, 5.844, 117/20
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