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4 years ago

Pls help

Mathematics

2 answers:

boyakko [2]4 years ago

5 0

Answer:

4. C) $(3, -2)$

3. B) 9,6 = the number of points you would increase each hour of studying; 65,8 = your score if you studied 0 hours

2. B) The events have a strong positive linear correlation.

1. C) Find the slope using the slope formula:

$\frac{y_2 - y_1}{x_2 - x_1}$

Step-by-step explanation:

4. (−7, 10) → 10 = 7 + 3 ☑

(−1, 4) → 4 = 1 + 3 ☑

(0, 3) → 3 = 0 + 3 ☑

(3, −2) → −2 ≠ −3 + 3; 0 ☒

3. You obviously have to plug "0" in for x to get your initial value of 65,8, which represents the minimum value of points you would receive if you never were to study, and of course, the 9,6 is the average score increased for every hour studied.

2. The correlation coefficient is 0,02, which is positive, so this would be the obvious choice.

1. You CANNOT write a linear equation without FIRST finding the rate of change [slope]. You will ALWAYS need the rate of change in order to write any linear equation.

I am joyous to assist you anytime.

REY [17]4 years ago

4 0

Answer:

The first step to write an equation is slope-intercept form is to find the slope using the formula

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

Therefore, the answer to question 1 is C.

On the other hand, when a correlation coefficient is near to zero, that means there's no correlation between variables. So, in this case, we have a coefficient of r = 0.02, which is really close to zero.

Therefore, the answer to question 2 is D. There is little or no linear correlation.

The linear regression in question 3 is

$y=9.6x+65.8$

Where, $x$ represents hours and $y$ the score.

Now, according to this relation, the minimum score you can get is 65.8, that is, if you studied zero hours, you get 65.8. And 9.6 represents the increase in points per hour studied.

Therefore, the right answer for question 3 is B.

In question 4, the given expression is

$y=-x+3$

Now, to find the right answer, we need to test each point and see which one satisfy the equation

For (0,3)

$y=-x+3\\3=-0+3\\3=3$

This means choice A appears as a solution.

For (-1,4)

$y=-x+3\\4=-(-1)+3\\4=4$

Option B also appears as solution

For (3,-2)

$y=-x+3\\-2=-3+3\\-2=0$

Choice C doesn't appear as solution.

Therefore, the right answer is C.

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Answer:Then the system of inequalities that represents the graph is second option:

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Point-slope form:

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The area below the blue line is:

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2.) The red line goes through the points:

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P2=(-2,0)=(x2,y2)→x2=-2, y2=0

Slope: m=(y2-y1)/(x2-x1)

m=(0-2)/(-2-0)→m=(-2)/(-2)→m=1

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y-y1=m(x-x1)

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Then the system of inequalities that represents the graph is:

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Answer:

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Reduce the first fraction:

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