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etuck16
13.08.2020 •
Mathematics
At an elite baseball camp, 60% of players can bat both right-handed and left-handed. If 25% of the players who bat left-handed do not bat right-handed, what is the probability that a player selected at random does not bat left-handed?
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Ответ:
The probability that a player selected at random does not bat left-handed is 20%.
Step-by-step explanation:
Assume that there are a total of 100 baseball players at an elite baseball camp.
The information provided is:
60% of players can bat both right-handed and left-handed. 25% of the players who bat left-handed do not bat right-handed.That is, the number of players can bat both right-handed and left-handed is,
n (L and R) = 60.
Now, if 25% of the players who bat left-handed do not bat right-handed, then 75% of all left-handed players can also bat right-handed.
⇒ n (L and R) = n (L) × 75%
60 = n (L) × 0.75
n (L) = 60/0.75
n (L) = 80
So there are 80 left handed batters.
Compute the number of only left handed batters as follows:
n (Only L) = n (L) × 25%
= 80 × 0.25
= 20
So there are 20 only left handed batters.
Compute the number of only right handed batters as follows:
Total = n (Only L) + n (Only R) + n (L and R)
100 = 20 + n (Only R) + 60
n (Only R) = 20
Thus, the probability that a player selected at random does not bat left-handed is 20%.
Ответ:
x = 5
z = 106
Step-by-step explanation:
a)
(10x + 24) + 106 = 180
10x + 130 = 180
10x = 50
x = 5
b) z = 106 (from the definition of vertical angles)