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olya-2409 [2.1K]
3 years ago
14

There are 3 red balls, 5 green balls, and 1 yellow ball in a hat. If you draw the yellow ball, you gain $10. If you draw any of

the red balls, you gain $4. If you draw a green ball, you lose $3. If you were to play this game 25 times, replacing the drawn ball each time, how much money can you expect to gain or lose?
Mathematics
1 answer:
shepuryov [24]3 years ago
6 0

Answer:

19.44

Step-by-step explanation:

We have the following information:

3 red balls, 5 green balls, and 1 yellow ball

In total there are 3 + 5 + 1 = 9 balls.

We calculate the probability of each:

Network: 3/9

Green: 5/9

Yellow: 1/9

Each one corresponds a price in profit or losses:

Network: 4

Green: -3

Yellow: 10

So in total it would be the sum of the multiplication of the probability and the price and then multiply everything by 25:

(4 * 3/9 + -3 * 5/9 + 10 * 1/9) * 25 = (0.777) * 25

= 19.44

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Mia and Elizabeth share a reward of $140 in a ratio of 2:5. what fraction of the total reward does mia have?
lapo4ka [179]
2 + 5 = 7

Mia has 2 out of 7, so her percentage is

2/7 * 100 = 28.6%
8 0
3 years ago
There are 26 prize tickets in a bowl, labeled A to Z. What is the probability that a prize ticket with a vowel will be chosen, n
AfilCa [17]

The probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen is 0.031 or 3.1%. The events are dependent events.

Given that there are five vowels, which come from the letters A, E, I, O, and U, the likelihood of drawing a vowel is:

5/26

since there are a total of 26 alternatives available. After choosing that, we are left with 25 alternatives, 4 of which are vowels, thus the probability is:

4/25

The final likelihood is thus:

5/26 * (4/25) = 0.031

In other words, the likelihood is 3.1% when choosing a vowel and then another (without replacement).

The first event has an impact on the second event since there are fewer vowels and overall possibilities, hence the events are dependent.

Learn more about probability here :

brainly.com/question/16812448

#SPJ1

7 0
2 years ago
20 POINTS
Mashutka [201]

To find x:

ON is parallel to LM

8x - 8 = 7x + 4

-7x        -7x

1x - 8 = 4

     +8   +8

1x = 12

---    ---

1        1

x = 12

8(12) - 8 = 7(12) + 4

96 - 8 = 84 + 4

88 = 88

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

To find y:

NM is parallel to OL

x - 5 = 3y - 6

12 - 5 = 3y - 6

7 = 3y - 6

+6      +6

13 = 3y

---    ---

3      3

13/3 = y

Check:

12 - 5 = 3(13/3) - 6

7 = 13 - 6

7 = 7



6 0
4 years ago
Homework - Pure Year 1 - Chapter 11B
ycow [4]

Answer:

|F net| = 20.22 N

θ ≈ 19.8°

Step-by-step explanation:

F net = 15N i + 8cos(60°)N i + 8sin(60°)N j

= 15N i + 8×½N i + 8×√3/2N j

= 15N i + 4N i + 4√3N j

= 19N i + 4√3N j

|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N

tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°

5 0
2 years ago
How do you find the angle for n? If you can, please show work on how to get to the answer. Thank you!
PtichkaEL [24]
A triangle needs to add up to 180 degrees so 44 plus 37 is 81 so that last angle is 99 degrees then you do 180 minus that angle because those 2 angles need to equal up so not equals 81
5 0
3 years ago
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