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Amanda [17]
2 years ago
15

A photocopier can print 12 copies in 18 seconds. At this rate, how many copies can it print in 42 seconds?​

Mathematics
2 answers:
nata0808 [166]2 years ago
8 0
28 copies !!!!!!! In 42 second
Dovator [93]2 years ago
8 0

Answer:

It should be 28 copies

Step-by-step explanation:

If you divide 42 by 18 it gives you 2.33333333

If you multiply 12 by 2.33333333 it gives you 28

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A= 153.86

A=49\pi

Step-by-step explanation:

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Which of the following is not an equivalent expression to -12 - 7x?
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-7x + 12 is not an equiv. expression because one of the - signs in the original expression has been changed to +.

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Can someone help me please?
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n 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to comp
Zarrin [17]

Answer:

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

Step-by-step explanation:

For each runner, there are only two possible outcomes. Either they finished the marathon, or they did not. The probability of a runner completing the marathon is independent of any other runner. This means that the binomial probability distribution is used 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}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

97.4% finished:

This means that 100 - 97.4 = 2.6% = 0.026 did not finish, which means that p = 0.026

100 runners are chosen at random

This means that n = 100

Find the probability that at least 5 of them did not finish the marathon

This is:

P(X \geq 5) = 1 - P(X < 5)

In which

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

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

P(X = 0) = C_{100,0}.(0.026)^{0}.(0.974)^{100} = 0.0718

P(X = 1) = C_{100,1}.(0.026)^{1}.(0.974)^{99} = 0.1916

P(X = 2) = C_{100,2}.(0.026)^{2}.(0.974)^{98} = 0.2531

P(X = 3) = C_{100,3}.(0.026)^{3}.(0.974)^{97} = 0.2207

P(X = 4) = C_{100,4}.(0.026)^{4}.(0.974)^{96} = 0.1429

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0718 + 0.1916 + 0.2531 + 0.2207 + 0.1429 = 0.8801

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.8801 = 0.1199

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

4 0
3 years ago
The sum of two numbers is 56. the first number is 2/5 of the second number. Let x represent the first number and y represent the
SpyIntel [72]
Hello, 

x= first number
y= second number

their sum is 56, so:
x+y=56

The first number is 2/5 of the second number, so:
x= \frac{2}{5}y

Those are the two equations.
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