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Juli2301 [7.4K]
3 years ago
13

The alphabet game costs $.25 to play. Before the game, 26 slips of paper with a different letter of the alphabet on it are put i

nto a bag. A player draws one slip from the bag. If the player draws a vowel (A, E, I, O, or U), he or she wins $1. If a player plays the alphabet game 2 times in a row, replacing the slip of paper after each turn, what is the probability that they win twice? Write as a fraction.
Mathematics
1 answer:
julsineya [31]3 years ago
8 0

Answer: 25/676

Step-by-step explanation:

Number of possible outcomes = 26

In other to win, one must draw must be either (A, E, I, O or U)

Therefore required drws to win = 5

First draw:

P(win) = Total required outcome / Total possible outcome

P(win) = 5/26

Second draw:

P(win) = Total required outcome / Total possible outcome

P(win) = 5/26

Therefore,

P(winning twice) = (5/26) × (5/26) = 25/676

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Christopher swam laps everyday in the town swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks.
Dahasolnce [82]
45(5)=225 than multiply that by 60 because remember he only swam 5 out of 7 days a week  (12x5=60)  therefore  225x60= 13,500 minutes to convert to hours divide by 60  which will be 225 hours
8 0
3 years ago
In 1928, when the high jump was first introduced as a women's sport at the Olympic Games, the winning jump for women was 70.0 in
sveta [45]

Answer: year 2194



Explanation:



1) Model the jump of the women:


i) initial jump = 70.0 in


ii) increase rate = 0.48% per year


iii) equation: h = 70.0(1 +0.0048)ⁿ


2) Model the jump of the men:


i) initial jump 86.5 inches.


ii) increase rate, 0.4%.


iii) equation: h = 86.5 (1 + 0.004)ⁿ


3) Equal the two equations (h = h) to find when the jumps will be equal:


i) 70.0(1 +0.0048)ⁿ = 86.5 (1 + 0.004)ⁿ


ii) 70.0(1.0048)ⁿ = 86.5 (1.004)ⁿ


ii) [1.0048ⁿ / 1.004ⁿ] = 86.5/70.0


iii) [1.0048/ 1.0040]ⁿ = 86.5/70.0


iv) n log (1.0048 / 1.0040) = log ( 86.5/70)


v) n = log (86.5/70) / log (1.0048/1.0040) ≈ 266


3) year = 1928 + 266 = 2194


That is in the year 2194

8 0
3 years ago
Read 2 more answers
If one letter is chosen at random from the word refuse what is the probability that the letter chosen will be an e
mrs_skeptik [129]

Answer: 1/3

Step-by-step explanation: The probability is given by the number of times the event could happen (in this case get an "e"), over the number of all the possibilities (in this case, the six letters of the word)

Therefore, probability \frac{letter_e}{all letter}=\frac{2}{6} =\frac{1}{3}

5 0
3 years ago
Which of the following would be the last step in evaluating the problem 7+5(6-2)%2
salantis [7]

Answer:

7+5(6-2)%2

7+20%2

7+40%

7.4

5 0
3 years ago
A plane at an altitude of 7000 ft is flying in the direction of an island . If an angle of depression is 21 ° from the plane to
Nonamiya [84]

The horizontal distance until the plan flies over the island is 2687.05 feet approximately.

<u>Solution:</u>

Given that, A plane at an altitude of 7000 ft is flying in the direction of an island

An angle of depression is 21 degree from the plane to the island

We have to find what is the horizontal distance until the plan flies over the island  

The diagram is attached below

Assume as shown in the diagram , now we can use the right angle triangle property

\tan (21)=\frac{\text {distance between plane and point above island}}{\text {height of plane}}

\tan (21)=\frac{\text {distance between plane and point above island}}{7000}

\text { Distance between plane and point above island }=7000 \times \tan (21)

=7000 \times 0.38386=2687.0482

Hence, the distance between plane and point above island is 2687.05 feet approximately.

3 0
3 years ago
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