A charity is selling raffle tickets at $10 apiece. Ten third-place winners will be drawn, each winning $20. Five second-place winners will be drawn, each winning $50. Finally, one grand prize of $200 will be awarded. If 100 tickets are sold, what is the expected value of one ticket?

Answers

Answer 1
Answer: In order to find the expected value, we must calculate the average returns on each ticket. So After doing this, we can say that each ticket will cost $6.50. I hope this is what you were looking for 

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A and B share money in a ratio of 9:4. How much of the £39000 does B get?

Answers

so we have a total of 39000
and a total of 9+4 parts to split it in
so split 39000 into 13 parts
39000/13 = 3000
9:4
9(3000) : 4(3000)
27000:12000
I was going to answer your question but someone did it

What is the length of segment LP?

Answers

In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:

LO/LP = LM/LN

22 / x+12 = 30 / x+12 + 5
22 / x+12 = 30 / x+17

Cross-multiplying:
30x + 360 = 22x + 374

Isolating x to one side of the equation by subtracting 22x and 360 from both sides:

30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75

Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75

Therefore the value of LP is 13.75 in.

What is the simplest form of 9/24, 14/24, 10/15, 10/12,18/27 and 10/15?

Answers

S.F. of 9/24 = 3/8
S.F. of 14/24 = 7/12
S.F. of 10/15 = 2/3
S.F. of 10/12 = 5/6
S.F. of 18/27 = 2/3
S.F. of 10/15 = 2/3

Hope this helps!
1. 3/8
2. 7/12
3. 2/3
4. 5/6
5. 2/3
6. 2/3 

I guess the third and last one is repeated. But, I wrote the answer anyways.
Hope this helps! :)

5b less than or equal to -5please show your work so that I can understand. step by step thanks

Answers

Steps for 5b less than or equal to -5: 1. Divide by 5 on both sides 2. Your answer is b is less than or equal to -1 3. With inequalities you have to find a way to get b on one side and a number other. You still have to do the same thing on both sides though. So I divided by 5 on both sides to get my answer. Hope this helps you

The sum of two consecutive odd integers is equal to 43 more than 1/3 the larger number. Find both numbers. PLZ HELP

Answers

x and y

consecutive odd are 2 apart
x=2+y
x=larger number


sum is 43 more than 1/3 or larger
x+y=43+(x/3)
x=2+y
2+y+y=43+((2+y)/3)
2+2y=43+((2+y)/3)
minus 43 both sides
-41+2y=(2+y)/3
times 3 both sides
-123+6y=2+y
minus y both sides
-123+5y=2
add 123 both sides
5y=125
divide by 5
y=25

sub
x=2+y
x=2+25
x=27

the numbers are 25 ad 27

Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths. Base 3.5 feet, altitude 3/4 feet. 2 1/8 sq. Ft. 2 5/8 sq. Ft. 3 3/8 sq. Ft.

Answers

A = bh

A = (3.5)((0.75)

A = 2.625

A = 2_5/8 ft^2