MATHEMATICS MIDDLE SCHOOL

If you have a 1 in a thousand chance of winning $400, but 999 out of a thousand times you win nothing, what is your expected payoff

Answers

Answer 1

Answer:

Answer:$0.4

Step-by-step explanation:

Let $P_(w)$ be the probability of winning.

Let $P_(l)$ be the probability of loosing.

Given that we win once in thousand times.

So, $P_(w)=(1)/(1000)$

Since $P_(w)+P_(l)=1$

$P_(l)=1-P_(w)=1-(1)/(1000)=(999)/(1000)$

Since we win noting if we loose,

expected payoff is product of probability of winning and the prize.

Let $pr$ be the prize.

Given, $pr=400$

Expected payoff is $pr* P_(w)=400* (1)/(1000) =0.4$

So,$ $0.4$ is the expected payoff each time.

Answer 2

Answer:

$0.4

Step-by-step explanation:

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A store had a sale on art supplies. The pricep of each item was marked down 60%.
Which expression represents the new price?
A 0.4p C 1.4p
B 0.6p D 1.6p

Answers

The expression that marks the new price is choice A 0.4 p. Since we mark the prices down 60%, the customer will only be charged 40% of the p price which is 0.4 x p. Think of a candy bar that originally costs $1 and is marked down 60% by a discount sale. The new price is $0.40.

100%-60%=40%=0.4
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Marissa means 8 gallons of lemonade for every 60 guests that come to her party. If she's inviting 25 guests, how many gallons of lemonade does she need?

Answers

3 1/3. 60 divided by 25 is 2.4. 8 divided by 2.4 is 3.333333... 3.3333... is equal to 3 1/3. Hope this helps!!

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Q1.The cost of $16.50 for the music was reduction of 12% on the original cost.calculate the original cost of the music.

Answer: $.................

Q2.The download times for the music, films, and books are in the ratio
music : films : books = 2 : 9 : 1

The total download time is 3 hours and 33 minutes.

calculate the download time for the films.

Answer:.............hours.............minutes..............seconds

Answers

Q1) £16.50 x 1.12 = £18.48
Q2)

2+9+1= 12
3h 33m = 213m
213/12 = 17.75
2x17.75 = 35.5 (music)
9x17.75 = 159.75 (films)
1x17.75 = 17.75 (books)

So it’s 159.75 minutes for the films to download

A motorist is driving across the country at a steady speed at 54.5 miles per hour. In the 17th hour, the odometer on her car reads 62,416. What was the odometer reading when she first started her trip?