(100 points & brainliest!)

Mathematics

1 answer:

Harrizon [31]3 years ago

5 0

Okay so this is a very hard conceptual question. We need to prove that (x, y) is the ordered pair when "f(x) = g(x)".

"f(x) = g(x)" represents the point where the lines share a point or basically the intersection point of the two functions.

To prove that the intersection point is (x, y) let's find the x and y values at the point of intersection.

f(x) ----> the x-value is x and the y-value is f(x)

g(x) -----> the x-value is x and the y-value is g(x)

We know that f(x) = g(x) so we know that the y values match too.

We can also substitute a variable y for f(x) or g(x) (It is simply the y-value when x is plugged in for x. I know it sounds a bit confusing.).

So the solution when f(x) = g(x) is (x, y)!!!

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Factor 15 + 50. 5(10 + 3) 5(3 + 10) 3(5 + 25) 10(5 + 5)

Agata [3.3K]

Answer:

Step-by-step explanation:

So we have the expression:

$15+50$

Since 5 goes into both 15 and 50, we can factor out a 5. First, rewrite the numbers as:

$5(3)+5(10)$

Factor out the 5:

$=5(3+10)$

So, our answer is B

And we're done!

8 0

3 years ago

The U.S. Bureau of Labor Statistics reports that of persons who usually work full-time, the average number of hours worked per w

alukav5142 [94]

Answer:

The standard deviation of number of hours worked per week for these workers is 3.91.

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. 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 average number of hours worked per week is 43.4, so $\mu = 43.4$ .

Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.

This means that the Z score of $X = 48$ has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use $Z = 1.175$ .