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3 years ago

8

Donnie draws four cards from a fair deck of 52. A fair deck of 52 has one King of Hearts. What is the approximate probability of

him drawing the King of Hearts?
(A) 1/52
(B) 1/13
(C) 13/1
(D) 52/1

1 answer:

My name is Ann [436]3 years ago

8 0

Answer:

B)

Step-by-step explanation:

Since Donnie drew four cards, his probibilty of drawing the one King Of Hearts

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Answer:

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Step-by-step explanation:

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3 years ago

Marco is 8 years younger than his brother Paolo. If their product of their ages is 105, how old is Marco? plz help

Nina [5.8K]

Answer:

Marco's age is 7 years old

Step-by-step explanation:

Let

x ----> Marco's age

y ----> Paolo's age

we know that

$x=y-8$ ----> $y=x+8$ ----> equation A

$xy=105$ ----> equation B

substitute equation A in equation B

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Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+8x-105=0$

so

$a=1\\b=8\\c=-105$

substitute in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(-105)}} {2(1)}$

$x=\frac{-8(+/-)\sqrt{484}} {2}$

$x=\frac{-8(+/-)22} {2}$

$x=\frac{-8(+)22} {2}=7$

$x=\frac{-8(-)22} {2}=-15$

Remember that the solution cannot be a negative number

so

The solution is x=7

therefore

Marco's age is 7 years old

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Step-by-step explanation:

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