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givi [52]
3 years ago
13

A tennis player wins a match 55% of the time when she serves first and 47% of the time when her opponent serves first. The playe

r who serves first is determined by a coin toss before the match. What is the probability that the player wins a given match?
Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0

ok so she has a 50% chance of serving first so if she serves first she has a 55% percent chance of winning multiply .55 and .50 to get .275 now she also has a 50% chance of not serving first so multiply .47 and .50 to get .235 now that you have the two probabilities of her winning you add them together so .275+.235 = .51 so she has a <u>51%</u> chance of winning the game
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balu736 [363]

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Billy-Bob has a piggy-bank filled with nickels and quarters totaling $11.90.
Lunna [17]

Answer:

x = 33

y = 41

Step-by-step explanation:

GIven

x: number of nickels

y: number of quarters

A nickel = $0.05

A quarter = $0.25

then we have the system of equations

0.05*x + 0.25*y = 11.90

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4 0
3 years ago
In a certain month, Mason spent 1/6 of his salary in the first three days and $800 in the following ten days and after that he w
Nesterboy [21]
<h3>Answer:   $2400</h3>

========================================================

Explanation:

x = Mason's salary in dollars for that month

x/6 = one-sixth of his salary

x/6+800 = total amount spent (the x/6 dollars and $800 combined)

In total, he spent half his salary. This means he spent x/2 dollars for the month overall.

Set the two items equal to one another. Solve for x.

x/6 + 800 = x/2

6(x/6 + 800) = 6*(x/2) ... see note at the bottom of the page

x+4800 = 3x

4800 = 3x-x

4800 = 2x

2x = 4800

x = 4800/2

x = 2400

His monthly salary is $2400

1/6 of this is (1/6)*2400 = 2400/6 = 400 dollars. Add on the $800 he also spent to get a total of 400+800 = 1200 dollars spent, which is exactly one half of the $2400. The answer is confirmed.

-------

Note: I multiplied both sides by 6 to clear out the fractions. The value 6 is the LCD in this case.

7 0
3 years ago
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