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hammer [34]
3 years ago
6

A bag contains exactly three red marbles, five yellow marbles and two blue marbles. If three marbles are drawn from the bag with

out replacement, what is the probability that all three will be the same color? Express your answer as a common fraction
Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

  • 11/120

Step-by-step explanation:

  • Red = 3
  • Yellow = 5
  • Blue = 2

Possible options would be red or yellow as only two blue marbles.

<u>Probability of 3 red:</u>

  • 3/10*2/9*1/8 = 1/120

<u>Probability of 3 yellow:</u>

  • 5/10*4/9*3/8 = 1/12

<u>Probability of same three is:</u>

  • 1/120 + 1/12 = 11/120
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How many pairs of parallel sides does the trapezoid below have
Nonamiya [84]
It has 1 pair of parallel sides.
4 0
3 years ago
t is commonly assumed that babies are equally likely to come as either a boy or a girl. This is not true. Actually, about 51.3%
eduard

Answer:

The probability they have one boy and one girl = 0.50 = 50 %

Step-by-step explanation:

Here the family has two children, we need to find what is the probability they have one boy and one girl.

Probability for babies are boys = 51.3% = 0.513

Probability for babies are girls = 1 - 0.513 = 0.487

The probability they have one boy and one girl = 1 -  probability that they have two boys - probability that they have two girls

The probability they have one boy and one girl = 1 - 0.513² - 0.487² = 0.499 = 0.50

The probability they have one boy and one girl = 0.50 = 50%

7 0
3 years ago
On a given blueprint, 1 inch = 30 feet. If the dimensions of a meeting room on the blueprint are 1.5 inches x 1.25 inches, what
melamori03 [73]
Sounds simple to me but may be misleading, I can't see a trick.
I think all you do is multiply each by 30.

So answer is 45ft X 37.5ft

Hope it's correct. I'd appreciate if you could let me know. Thks..
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B19%7D%20%20%3D%206" id="TexFormula1" title=" \frac{x}{19} = 6" alt=" \fra
Alex17521 [72]

[ Answer ]

\boxed{X \ = \ 114}

[ Explanation ]

\frac{x}{19} = 6

Multiply Both Sides By 19

\frac{x}{19} = 6 · 19

Simplify:

X = 114

Check Your Work:

\frac{114}{19}

Simplify:

= 6

\boxed{[ \ Eclipsed \ ]}

5 0
3 years ago
Carlos has received a 9% salary increase. If he now earns $654 per week, what was his salary before the increase.?
babunello [35]
So let's say he was earring x before his raise. That means that:
x times 1.09 = 654 (1.09 represents 100% (this is the 1.0) of his original salary plus 9% (this is the .09) his raise.
So,
1.09x = 654; now divide both sides by 1.09 to isolate and solve for x, and you get x = $600.
6 0
3 years ago
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