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timama [110]
3 years ago
5

There are 5 red pens, 3 blue pens and 2 green pens in a box. Ziyad takes at random a pen from the box and gives the pen to his f

riend, Tamer. Ziyad then randomly takes another pen from the box. Work out the probability that both pens are the same color.
Mathematics
1 answer:
goldenfox [79]3 years ago
7 0

Answer: 14/45

Step-by-step explanation:

Assuming that there is no replacements:

The probability of both pens being red will be represented by P(r), and P(b) and P(g) will represents both being blue and green respectively

P(r) = 5/10 x 4/9 = 2/9

P(b) = 3/10 x 2/9 = 1/15

P(g) = 2/10 x 1/9 = 1/45

Now take all 3 probabilities and add them all together to find the probability that any 2 pen will be the same color

P = P(r) + P(b) + P(g)

P = 2/9 + 1/15 + 1/14

P = 14/45

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3 years ago
10y-50=<br> 10y−50=<br> \,\,-20<br> −20
densk [106]

Answer:

Therefore the value of 'y' is,

y=3

Step-by-step explanation:

Given:

10y-50=-20

To Find:

y= ?

Solution:

10y-50=-20    ........Given

Step 1. Adding 50 to both the side we get

10y-50+50=-20+50\\10y=30

Step 2. Dividing by 10 on both the side we get

\dfrac{10y}{10}=\dfrac{30}{10}\\\\y=3

Therefore the value of 'y' is,

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6 0
3 years ago
Milton makes trail mix for his hiking group he makes a 1 and 1/4 pound of peanuts 14 oz of raisins 12 oz of walnuts in 10 oz of
strojnjashka [21]

Answer:

Each hiker receives 7 ounces of trail mix

Step-by-step explanation:

Trail mix=quantity of peanuts+quantity of raisins+quantity of walnuts+quantity of chocolate chips

where;

Quantity of peanuts=1.25 pounds

Quantity of raisins=14 oz, since 1 pound=16 oz.

Quantity of raisins=(14/16)=0.875 pounds

Quantity of walnuts=12 oz=(12/16)=0.75 pounds

Quantity of chocolate chips=10 oz=(10/16)=0.625 pounds

Replacing;

Trail mix=(1.25+0.875+0.75+0.625)=3.5 pounds

Trail mix=Quantity per hiker×Number of hikers

where;

Trail mix=3.5 pounds

Quantity per hiker=q

Number of hikers=8

Replacing;

3.5=q×8

q=3.5/8=0.4375 pounds

I pound=16 ounces

q=0.4375×16=7 ounces

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8 0
2 years ago
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TiliK225 [7]

Answer:

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Step-by-step explanation:

To scale down a set of measurements, simply multiply the original measurement by the factors you're scaling it by. For example, take the first measurement of 5 1/2. To scale this down, I turned the value into an improper fraction (11/2) to make the multiplication process easier. Then, I multiplied 11/2 by the factor of 1/10.

After that, I got 11/20, which is the new first measurement.

7 0
3 years ago
Cheryl paid $37.20 for 12 gallons of ice cream for a school picnic. How much would 1 quart of ice cream cost?
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First, you need to get to one gallon, which is 37.20 divided by 12. (3.1)
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Hope that helped.
7 0
3 years ago
Read 2 more answers
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