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aleksandr82 [10.1K]
3 years ago
11

A box contains 5 plain pencils and 5 pens. A second box contains 3 color pencils and 5 crayon. One item from each box is chosen

at random. What is the probability that a pen from the fist box and a crayon from the second box are selected?
In simplest form?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
7 0

Hello! :)

What is the probability of choosing a pen from the first box? It is 5/10 = 1/2.

 

What is the probability of selecting a crayon from the second box? It is 5/8.

 

The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/2 = 5/16.

Hope this helped and I hope I answered in time!

Good luck!

~ Destiny ^_^

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Answer:

you should accept the $1,000 bill

Step-by-step explanation:

Given the information:

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P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3

P (rolling a 3) = 1/6

P (rolling 4 or 5 or 6) = 3/6 = 1/2

Hence, the expected value for 1 time is:

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E = $82

Expected value is linear so if you roll the die 10 times, expected value is: 10*82 = $820

The expected value is $82, meaning you should accept the $1,000 bill

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2 years ago
Roberto wants to display his 18 sports cards in an album . Some pages hold 2 cards and others hold 3 cards .
nexus9112 [7]

Answer:

Step-by-step explanation:

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2a + 3b =18

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a=9, b=0

We must add 2 3-card pages at a time,so that we have an even number for the 2-card pages:

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Add 2 to b once more:

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One more time:

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Thus, Ricardo can display his figures in the following page combinations:

a=9, b=0

a=6, b=2

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Remember that a= number of 2-card pages and b=number of 3-card pages

There are 4 different ways that Ricardo can arrange his figures in terms of what kind of pages he uses. 

3 0
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Answer:

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Step-by-step explanation:

Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).

To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.

Substituting 2 to the first expression gives:

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Substituting 2 to the second expression gives:

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Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.

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