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3 years ago

A copy machine can print 480 copies every 4 minutes how many copies can it print in 10 minutes

Mathematics

2 answers:

Troyanec [42]3 years ago

7 0

Answer:

It can print 1200 copies in 10 minutes.

Step-by-step explanation:

This problem can be solved using a proportion.

Let x be the number of copies that can be printed in 10 minutes.

480 copies = 4 minutes

x = 10 minutes

cross-multiply

4 × x = 480 × 10

4x = 4800

Divide both-side of the equation by 4

$\frac{4X}{4}$ = $\frac{4800}{4}$

(On the left-hand side of the equation, 4 at the numerator will cancel-out 4 at the denominator, leaving us with just x, while on the right-hand side of the equation 4800 will be divided by 4)

x = 1200 copies.

Therefore, It can print 1200 copies in 10 minutes.

Oxana [17]3 years ago

4 0

10·(480:4)=10·120=1200

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A.)

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B.)

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Step-by-step explanation:

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1 - p = 1 - 0.75 = 0.25

Proportion of computer programmers that are introverts, p = 0.55

1 - p = 1 - 0.55 = 0.45

According to binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - r)

A.) n = 15

Probability that 10 or more are extrovert

P(x ≥ 10) = p(x = 10) + p(x = 11) +... p(x = 15)

To save computation time, we can use a binomial probability calculator ;

P(x ≥ 10) = 0.8516 = 0.852

Probability that 5 or more are extrovert :

P(x ≥ 5) = p(x = 5) + p(x = 6) +... p(x = 15)

To save computation time, we can use a binomial probability calculator ;

P(x ≥ 5) = 0.9999 = 0.999

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P(x = 15) = 15C15 * 0.75^15 * 0.25^0

P(x = 15) = 1 * 0.75^15 * 0.25^0

P(x = 15) = 0.01336 = 0.013

What is the probability that all are introverts?

n = 5

None are introvert :

P(x = 0) = 5C0 * 0.55^0 * 0.45^5

P(x = 0) = 1 * 1 * 0.0184528125

P(x = 0) = 0.01845 = 0.018

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To save computation time, we can use a binomial probability calculator ;

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P(x = 5) = 1 * 0.55^5 * 0.45^0

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