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olya-2409 [2.1K]
3 years ago
13

There are five different colored cards in a hat (red blue green yellow and black) a card is randomly drawn and replaced then a s

econd card is drawn what is the probability that the first card will be red and the second card will be blue
Mathematics
1 answer:
ser-zykov [4K]3 years ago
8 0

Answer:

\frac{1}{25}

Step-by-step explanation:

the probability that the first card will be red and the second card will be blue:

p(red then blue) = p(red) × p(blue)

                          =\frac{1}{5} *\frac{1}{5}

                          =\frac{1}{25}

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Read 2 more answers
Suzy is ten years older than Belly, and the next year she will be twice as old as Billy. How old are they now? Show solution.
Snezhnost [94]

Answer:

I understand there is a typo, so Belly and Billy are the same person. His age is represented as B, and Suzy's as S.

S = 19

B = 9

Step-by-step explanation:

Suzy is ten years older than Belly:

(1)  S = B + 10

the next year she will be twice as old as Billy

(2)  S + 1 = 2 (B + 1)

solving the system of equation (1) and (2):

Making (2) - (1):  

1 = 2 (B + 1) - B - 10 => 1 = 2 B + 2 - B - 10  => 1 = B - 8 => B = 9

replacing in (1) S = 19

5 0
2 years ago
Some liquid will be poured from a 16 ounce container until it is filled to the percent of the the larger container (87.5%).How m
4vir4ik [10]

Answer:

16 ounces

Step-by-step explanation:

First we are told that a container has a capacity of 16 ounces of liquid and therefore 16 ounces of liquid can fill that one container

The 16 ounces liquid from the 16 ounce container is fully emptied in a larger container and fills 87.5% of the larger container therefore the larger container is:

100/87.5×16 ounces= 18.285 ounces in liquid capacity

Therefore to fill the smaller 16 ounce container, the larger container would have to pour 16 ounces of liquid into the smaller container, and would would still have 18.285-16=2.285 ounces if it(the larger container) were filled to the brim(100%)

8 0
3 years ago
Mike is 5 more than twice Carl's age. Mike's age plus Carl's age is 41. How old is<br> Mike?
ohaa [14]
Mike is 29.

5+2x+x=41
5+3x=41
3x=36
x=12

5+2x=Mike’s Age
5+2(12)= Mike’s Age
29= Mike’s Age
3 0
2 years ago
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