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4 years ago

Sam typed 570 words and 15 minutes if he continues to type at this rate how many words will he have typed in two hours

Mathematics

2 answers:

leonid [27]4 years ago

7 0

120 minutes in 2 hours
120/15=8
570*8=4560 words
Hope this helps!

Svetllana [295]4 years ago

7 0

So first, you will have to find out how many words he types in 1 minute, so you divide 570 by 15 and then you'll get 38, so Sam types 38 words per minute.
Then, we know that 2 hours is equal to 120 minutes. So you multiply 38 by 120 because you want to calculate how many words Sam types in 120 minutes.
So your answer should be 4,560 words in 2 hours.

I hope this helped (:

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$P(X = 1) = C_{6,1}.(0.1416)^{1}.(8584)^{5} = 0.3960$

$P(X = 2) = C_{6,2}.(0.1416)^{2}.(8584)^{4} = 0.1633$

$P(X = 3) = C_{6,3}.(0.1416)^{3}.(8584)^{3} = 0.0359$

$P(X = 4) = C_{6,4}.(0.1416)^{4}.(8584)^{2} = 0.0044$

$P(X = 5) = C_{6,5}.(0.1416)^{5}.(8584)^{1} = 0.0003$

$P(X = 6) = C_{6,6}.(0.1416)^{6}.(8584)^{0} = 0.00001$

b) 56.77% probability that an even number of eggs is broken.

Expectation: 0.8496

Variance: 0.7293

Step-by-step explanation:

For each egg, there are only two possible outcomes. Either it is broken, or it is not. The probability of an egg being broken is independent from other eggs. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$