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Westkost [7]
2 years ago
12

A bag contains 8 gray glass marbles, 2 gray metal marbles, 4 black glass marbles, and 6 black metal marbles. If one marble is dr

awn at random, what is the probability that it is glass, given that it is one of the black marbles?
A. 1/5
B. 1/3
C. 2/5
D. 1/2
Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
4 0

Answer:

1/5

Step-by-step explanation:

Total marbles = 20

Black marbles = 10

(10/20) x (4/10)

= (1/2) x (2/5)

= 2/10

= 1/5

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Which expression is equivalent to -2 (5x-.75)
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Answer:

-10x + 1.5

Step-by-step explanation:

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1 $40.00 shirt is on a 10% off sale rack, What is the final price of the shirt 8.25%
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Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day. At the same rates two Nissans, four Fords, and thr
Sindrei [870]

Answer:

The rental rate for the Fords is of $12 per day.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a Nissan.

y is the cost of a Ford.

z is the cost of a Chevrolet.

Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day.

This means that:

3x + 2y + 4z = 106

Two Nissans, four Fords, and three Chevrolets cost $107 per day

This means that:

2x + 4y + 3z = 107

Four Nissans, three Fords, and two Chevrolets cost $102 per day.

This means that:

4x + 3y + 2z = 102

From the first equation:

4z = 106 - 3x - 2y

2z = 53 - 1.5x - y

z = 26.5 - 0.75x - 0.5y

Replacing into the third equation:

4x + 3y + 53 - 1.5x - y = 102

2.5x + 2y = 49

From the second equation:

2x + 4y + 3z = 107

2x = 107 - 4y - 3z

x = 53.5 - 2y - 1.5z

x = 53.5 - 2y - 1.5(26.5 - 0.75x - 0.5y)

x - 1.125x = 53.5 - 2y - 39.75 + 0.75y

-0.125x = 13.75 - 1.25y

0.125x = 1.25y - 13.75

x = \frac{1.25y - 13.75}{0.125}

x = 10y - 110

Find the rental rate for the Fords.

We have to find y, so:

2.5x + 2y = 49

2.5(10y - 110) + 2y = 49

25y - 275 + 2y = 49

27y = 324

y = \frac{324}{27}

y = 12

The rental rate for the Fords is of $12 per day.

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Many poker games start with each player being dealt five cards, called the player's "hand". Remember, there are 52 cards in a st
jek_recluse [69]

Answer:

The number of different possible poker hands is found by counting the number of ways that 5 cards can be selected from 52 cards, where the order is not important. It is a combination, so we use c n r

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