Which ordered pair is a solution to the system of equations x+y=12 and x-y=6

Mathematics

1 answer:

const2013 [10]3 years ago

8 0

Plug in the options for x and y
9+3=12, 9-3=6
(9,3)

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What percent of 60 is 27? <br><br>22 is 55% of what?

DerKrebs [107]

For this question, set up an equation. 60 times what decimal is 27?

60x=60

x=0.45

Convert this decimal to a percentage by multiplying it by 100:

45%

For this question, set up an equation. 55% (or 0.55) times what number equals 22?

0.55x=22

<em>*Divide both sides by 0.55*</em>

x=40

Hope this helps!!

4 0

4 years ago

A company has 125 personal computers. The probability that any one of them will require repair on a given day is 0.025. To find

Ostrovityanka [42]

Answer:

Binomial probability

$P(X = 20) = C_{125,20}.(0.025)^{20}.(0.975)^{95}$

Step-by-step explanation:

For each computer, there are only two possible outcomes. Either they fail, or they do not. The probability of a computer failing is independent from the probability of other computers failing. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

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

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