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viva [34]
3 years ago
8

A. Use substitution and show work

Mathematics
1 answer:
Alja [10]3 years ago
6 0
A) 2x -3(3x -7) = 7 . . . . substitute for y
.. -7x = -14 . . . . . . . . . . . subtract 21
.. x = 2 . . . . . . . . . . . . . divide by -7
.. y = 3*2 -7 = -1 . . . . . . substitute for x
(x, y) = (2, -1)


B) 5(5x -2y) -2(3x -5y) = 5(8) -2(1) . . . . subtract 2 times 2nd equation from 5 times 1st
.. 19x = 38 . . . . simplify
.. x = 2 . . . . . . . divide by 19
.. y = (5x -8)/2 = 1 . . . . solve 1st equation for y, substitute x
(x, y) = (2, 1)


C) See the first graph.
(x, y) = (-4, 1)


D) See the second graph.
(x, y) = (3, 2)

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A regional planner employed by a public university is studying the demographics of nine counties in the eastern region of an Atl
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Answer:

Step-by-step explanation:

Hello!

Given the variables:

X₁: Median Age

X₂: Median Income

b) Considering it from a logical point of view, income changes with age, for example, the more experienced the worker is you would think he would get a better paying job than a younger worker who is just starting. Then the dependent variable will be the median income and the independent variable will be the median age.

a)  and c)

To see if there is a linear regression between the median income and median age you have to conduct a hypothesis test for the slope. If the slope is equal to zero, there is no linear regression between the two variables, if it is different to zero, there is a regression between the two of them:

H₀: β=0

H₁: β≠0

α: 0.05

t= \frac{b-\beta }{Sb} ~~t_{n-2}

The estimated regression equation for this regression ^Yi= 20.01 + 0.50X

The standard deviation for the slope is Sb= 0.11

t_{H_0}= \frac{0.50-0}{0.11} = 4.545

And the p-value for the test is 0.0022

The p-value is less than the level of significance I choose, so the decision is to reject the null hypothesis. You can conclude that there is a linear regression between these two variables.

The correlation coefficient between the median income and the median age is r= 0.87 ⇒ This means you could expect a positive and strong linear correlation between the two variables.

d)

The slope represents how much the variable Y is modified whenever the variable X increases one unit.

In this example: Is the modification of the population mean of the median income, when the median age increases one year.

5 0
3 years ago
A water tank is leaking such that for each of the next 5 hours, the amount of water in the tank will be 2 gallons less than at t
andre [41]

Answer:

C.  Linear decrease

Step-by-step explanation:

I can't really show a graph but I will try to explain

The water is leaking at a constant rate, meaning its not regaining it water (its only leaking). So if u were to graph this it would be a linear decrease

( That was a Terrible explanation but the answer is right lol)

7 0
3 years ago
In the following calculation, which part should be calculated first? 3 + (2 * 4) - 5 / 2
meriva

Always solve the parenthese first

8 0
3 years ago
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Katie memorized 40 multiplication facts last week. This week she memorized 56 multiplication facts. What is her percent of incre
Oksi-84 [34.3K]

Answer:

40%

Step-by-step explanation:

:)

4 0
2 years ago
Help please my moms going to kill me if I don’t get this right
iragen [17]

Answer:

x=-\frac{41}{6}

Step-by-step explanation:

Pay attention to the two tick marks. This indicates that those sides are congruent to each other and so will the angles on the bottom and top. Therefore, we can set up the equation 137+2(-3x+1)=180 and solve for x:

137+2(-3x+1)=180

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139-6x=180

-6x=41

x=-\frac{41}{6}

8 0
2 years ago
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