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Tom [10]
3 years ago
15

Many baseball pitchers can throw 3 different types of pitches: fastball, curve, and change-up. When facing a batter with only on

e strike left, a
certain pitcher throws his fastball 45% of the time, curveball 35% of the time, and change up the remaining times. The pitcher gets the batter
out 75% of the time when he throws a fastball, 80% of the time when he throws a curveball, and 65% of the time when he throws a change-up.
Randomly select one batter during a game.
P(Fastball and out) = ?
Mathematics
1 answer:
OLEGan [10]3 years ago
5 0

Answer:

125

Step-by-step explanation:

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\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}

The value of x.

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\longrightarrow{\green{x\:=\: 25° }} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

We know that,

\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}

➪ 125° + x + 30° = 180°

➪ x + 155° = 180°

➪ x = 180° - 155°

➪ x = 25°

Therefore, the value of x is 25°.

Now, the three angles of the triangle are 125°, 25° and 30°.

\large\mathfrak{{\pmb{\underline{\pink{To\:verify}}{\pink{:}}}}}

✒ 125° + 25° + 30° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\boxed{Hence\:verified.}

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B

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Nadusha1986 [10]

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Step-by-step explanation:

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