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Ganezh [65]
3 years ago
10

HELP ME ASAP PLS

Mathematics
1 answer:
Katarina [22]3 years ago
6 0

Answer:

Tommy had 56 cents in start and Loren had 7 cents in start.

Step-by-step explanation:

Let,

x be the money Tommy have.

y be the money Loren have.

According to given statement;

Tommy had 8 times more money than Loren.

x = 8y     Eqn 1

Parents gave 35 cents to Loren and Tommy spent 14 cents, therefore

x-14=y+35    Eqn 2

Putting x=8y in Eqn 2

8y-14=y+35\\8y-y=35+14\\7y=49

Dividing both sides by 7

\frac{7y}{7}=\frac{49}{7}\\y=7

Putting y=7 in Eqn 1

x=8(7)\\x=56

Hence,

Tommy had 56 cents in start and Loren had 7 cents in start.

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The probability that Chloe acts hungry at 7pm given that she has already eaten dinner is 0.5. The probability that Chloe acts hu
kolezko [41]

Answer:

a) P(  Y^{C} | X ) = 0.180

b) P(Y | X^{C}  ) = 0.998

Step-by-step explanation:

Let

P(X) - Probability that he acts hungry

P(Y) - Probability that he had ate dinner,

Given,

P(X | Y) = 0.5

P(X | Y^{C}  ) = 0.99

P(Y) = 0.9

a.)

P(  Y^{C} | X ) =  \frac{P( X | Y^{C} ). P(Y^{C} )   }{P( X | Y^{C} ). P(Y^{C} ) + P( X | Y ) . P (Y) }

                  = \frac{(0.99)(0.1)}{(0.99)(0.1) + (0.5)(0.9)} = \frac{0.099}{0.549} = 0.180

⇒P(  Y^{C} | X ) = 0.180

b.)

P(Y | X^{C}  ) = \frac{(1 - P(X | Y ) ) . P(Y)}{P( X^{C} )  } =  \frac{(1 - P(X | Y ) ) . P(Y)}{ 1 - P( X )  }

                 = \frac{(1 - 0.5)(0.9)}{1 - [(0.99)(0.1) + (0.5)(0.9) ]} = \frac{(0.5)(0.9)}{1 - [(0.099) + (0.45) ]} = \frac{0.45}{1 - [0.540]} = \frac{0.45}{0.451} = 0.998

⇒P(Y | X^{C}  ) = 0.998

3 0
3 years ago
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