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4 years ago

Solve the system of linear equations below.

Mathematics

1 answer:

sergiy2304 [10]4 years ago

6 0

Answer:

Step-by-step explanation:

Let's use the addition/elimination method to solve this. If we multiply the first equation through by -1 we can eliminate the x terms. Doing that gives us:

-x + 3y = 3

x + 3y = 9

The x's subtract each other away leaving us with

6y = 12 so

y = 2.

Now we will plug in 2 for y in either of the original equations to solve for x:

x + 3(2) = 9 and

x + 6 = 9 so

x = 3

The coordinate for the solution is (3, 2) or x = 3, y = 2

The second choice down is the one you want.

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Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

The lifetime of a certain type of battery is normally distributed with mean value 11 hours and standard deviation 1 hour. This means that $\mu = 11, \sigma = 1$ .