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iVinArrow [24]
1 year ago
13

State whether the following variables have a positive correlation, negative correlation, or no correlation.

Mathematics
1 answer:
muminat1 year ago
6 0

The types of correlation seen between positive correlation, negative correlation, or no correlation, in the variables is:

  • a. Height of a person and how often he or she attends religious services. - No correlation
  • (b.)Average property tax in a school district and salary of teachers - Positive correlation
  • (c.)Weight of a person and shoe size. - Positive correlation

<h3>What is the correlation between property taxes and teacher salaries?</h3>

One of the main sources of funding for school districts is the property tax charged. This means that increased property taxes will lead to more money being available for teacher salaries which might then increase. There is therefore a positive correlation between the two.

The same is true for the weight of a person and shoe size. This is because the heavier a person is, the larger their shoe size according to research.

There is however no correlation between the height of a person and their attendance of religious services.

Find out more on positive correlation at brainly.com/question/17180881

#SPJ1

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Need help to write equations for 5, 6 &amp; 7
Softa [21]
6)
A quadratic function has the form
y = ax^2 + bx + c

Use point (3, 5) in the equation above:

5 = a(3^2) + 3b + c
5 = 9a + 3b + c
9a + 3b + c = 5     Equation 1

Use point (4, 3) in the equation above:

3 = a(4^2) + 4b + c
16a + 4b + c = 3    Equation 2

Use point (5, 3) in the equation above.

5 = a(5^2) + 5b + c
25a + 5b + c = 5       Equation 3.

Now solve the system of equations of equations 1, 2, and 3 to find the coefficients, a, b, and c.

9a + 3b + c = 5
16a + 4b + c = 3
25a + 5b + c = 5

Subtract the first equation from the second equation.
Subtract the second equation from the third equation.
You get
7a + b = -2
9a + b = 2

Subtract the first equation above from the second equation to get.
2a = 4
a = 2

Substitute:
7a + b = -2
7(2) + b = -2
b = -16

9a + 3b + c = 5
9(2) + 3(-16) + c = 5
18 - 48 + c = 5
c - 30 = 5
c = 35

The equation in standard form is

y = 2x^2 - 16x + 35

We can find it in vertex form:

y = 2(x^2 - 8x) + 35

y = 2(x^2 - 8x + 16) + 35 - 32

y = 2(x - 4)^2 + 3
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What is perimeter of rectangle JKLM?
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Step-by-step explanation:

Find the length of each of the four sides and add them all together. The short sides each measure 3 units and the long sides each measure 5 units. 3+3+ 5+5 = 16

6 0
3 years ago
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Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his
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Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!

<u>Step-by-step explanation:</u>

Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his checking account of $180. Let's solve it step by step :

<u>Alex wrote checks on Tuesday for $30 and $40:</u>

Let's suppose Alex initially had x amount of money out of which $30 & $40 is deducted! so left amount of money is $(x-70) .

<u>He also made a deposit in his checking account of $180:</u>

Out of left money $(x-70) , Alex deposited $180 in account so new money = $(x-70) + $180 = $(x+110)

Therefore, Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!

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