Solve the math problem

Mathematics

1 answer:

VladimirAG [237]2 years ago

8 0

Answer:

Explanatory variable (independent variable)

The variable that affects the other variable.
Drawn along the horizontal axis.

Response variable (dependent variable)

The variable that is being affected.
Drawn up the vertical axis.

(a) As the class wondered if they could predict the father's height, when they know the son's height

Explanatory variable = son's height

Response variable = father's height

(even though this is contrary to real-life, where the father's height would be used to predict the son's height)

(b) **see first attachment**

(d) **see second attachment**

Outlier = Paul (64.5, 73)

This point is far away from the majority of points on the scatter plot.

If we add a regression line to the scatter plot, we can see that this data point is the farthest from the regression line.

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What numbers are always prime numbers?

VashaNatasha [74]

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3 years ago

My questions are in the picture please help

Marrrta [24]

21.

So to solve for the value of a variable in an equation, you would need to isolate x on one side. The first thing you have to do is multiply 2 and (x + 7) together, which can be rewritten as 2(x) + 2(7). After multiplying, your equation would be: $2x+14+3x=12$ , or A.

22.

So the rule with multiplying exponents with the same base is to add the exponents together, and the rule with dividing exponents with the same base is to subtract the exponents. Your equation will be simplified as such:

$4^{(3+4)-9}\\ 4^{7-9}\\ 4^{-2}$

Now the rule with converting negative exponents into fractions is $x^{-m}=\frac{1}{x^m}$ . In this case, 4^-2 would turn into $\frac{1}{4^2}$ , or C, which is your final answer.