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3 years ago

14

Which of the following correlation coefficients represents the strongest linear correlation?

1 answer:

Oduvanchick [21]3 years ago

4 0

Answer:

-0.94

Step-by-step explanation:

i've done it before.

You might be interested in

The graph of the quadratic function y = ax^2 + bx + c is given.<br> Find a + b + c.

andrey2020 [161]

Answer:

$\frac{145}{24}\approx 6$ ***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

$(0,3)$

$(2,8)$

$(6,5)$

Step-by-step explanation:

I see that the graph crosses at $(0,3)$ , $(2,8)$ , and $(6,5)$ .

The equation $y=ax^2+bx+c$ tells us the $y$ -intercept is $c$ since when $x=0$ we have $y=a(0)^2+b(0)+c=0+0+c=c$ .

The $y$ -intercept for our graph is $3$ . Therefore, $c=3$ .

So far we have the equation:

$y=ax^2+bx+3$ .

Let's enter the other points creating a system of linear equations to solve:

$8=a(2)^2+b(2)+3$

$5=a(6)^2+b(6)+3$

Let's simplify:

$8=4a+2b+3$

$5=36a+6b+3$

Let's subtract 3 on both sides:

$5=4a+2b$

$2=36a+6b$

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

$-15=-12a-6b$

$2=36a+6b$

Now adding the equations results in:

$-13=24a$

Divide both sides by 24:

$\frac{-13}{24}=a$

Now using one of the equations we can find $b$ :

$5=4a+2b$ with $a=\frac{-13}{24}$

$5=4\frac{-13}{24}+2b$

$5=\frac{-13}{6}+2b$

Add 13/6 on both sides:

$5+\frac{13}{6}=2b$

$\frac{30+13}{6}=2b$

$\frac{43}{6}=2b$

Divide both sides by 2:

$\frac{43}{2(6)}=b$

$\frac{43}{12}=b$

So we have the equation:

$y=\frac{-13}{24}x^2+\frac{43}{12}+3$

Let's evaluate $a+b+c$ now:

$\frac{-13}{24}+\frac{43}{12}+3$

$\frac{-13+86+72}{24}$

$\frac{73+72}{24}$

$\frac{145}{24}$

4 0

3 years ago

Topic: Solving exponential equations. Solve for the value of x. 1. 5^x+1= 5^2x-3

liraira [26]

X= 0.2034394 or 14.50799581 . I hope this helps

8 0

3 years ago

A local store is offering 20% off regular priceiPods. The original price is $200, how much willthe iPod cost during the sale?

Tju [1.3M]

This is the answer :
100%-20%=80%
$\frac{80}{100} = \frac{x}{200} \\ x = \frac{200 \times 80}{100} = \frac{16000}{100} = 160$
the answer $160

8 0

3 years ago

(4x10^2) - (2x10^-1)

balandron [24]

Answer:

Step-by-step explanation:

The LCD here is 10.

Multiplying numerator and denominator of (4*10^2) by 10 results in:

40*10^3

-------------

10

and rewriting (2x10^-1) with positive exponent in the denominator results in:

2

---------

10

So, before simplification, this difference comes out to be:

40000 - 2 39998 19999

----------------- = ---------------- or ------------

10 10 5

7 0

3 years ago

Harrizon [31]

Your answer is going to be Letter B

8 0

3 years ago