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shutvik [7]
3 years ago
8

When looking at attendance data for 2014-2015 school year, a principal graphed number of tardies, x, a student had compared to t

heir grade point average (GPA), y. The principal found the correlation coefficient to be r = -0.94.
There is a ______________ relationship between the number of tardies and the GPA.Immersive Reader

(3 Points)
a.Linear
b.Exponential
c.Quadratic
Mathematics
1 answer:
svetlana [45]3 years ago
4 0

Answer:

a. Linear relationship.

Step-by-step explanation:

Negative correlation describes a relationship of two variables in which one variable increases while the other decreases. It shows the the level at which the variables moves in opposite directions to each other.

In the given example, the two variables are inversely proportional. On plotting the variables against each other, it would have a downward slope. The correlation coefficient, r = -0.94, shows that the number of tardies of a student, x, and grade point average (GPA), y, have a linear relationship. As correlation coefficient is a measure of linear relationship, which could be negative, zero, or positive.

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67. The line contains the point (4,0) and is parallel<br> to the line defined by 3x = 2y.
olganol [36]

Answer:

y=\frac{3}{2} x-6

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:
  • y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines will always have the same slope but different y-intercepts.

<u>1) Determine the slope of the parallel line</u>

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

3x = 2y

Switch the sides

2y=3x

Divide both sides by 2 to isolate y

\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x

Now that this equation is in slope-intercept form, we can easily identify that \frac{3}{2} is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope \frac{3}{2} . Plug this into y=mx+b:

y=\frac{3}{2} x+b

<u>2) Determine the y-intercept</u>

y=\frac{3}{2} x+b

Plug in the given point, (4,0)

0=\frac{3}{2} (4)+b\\0=6+b

Subtract both sides by 6

0-6=6+b-6\\-6=b

Therefore, -6 is the y-intercept of the line. Plug this into y=\frac{3}{2} x+b as b:

y=\frac{3}{2} x-6

I hope this helps!

7 0
3 years ago
What is the simplified form of <br><br> (X/3-y/4)/(x/4+y/3) ? (6 points)
Fofino [41]

Option 2: \frac{4x-3y}{3x+4y} is the right answer

Step-by-step explanation:

Given fraction is:

\frac{\frac{x}{3}-\frac{y}{4}}{\frac{x}{4}+\frac{y}{3}}

To solve the fraction, Taking LCM in denominator and numerator

=\frac{\frac{4x-3y}{12} }{\frac{3x+4y}{12}}

When the numerator and denominator both have fractions, the simplified form is obtained be multiplying the numerator with reciprocal of the denominator. So,

= \frac{4x-3y}{12} * \frac{12}{3x+4y}\\=\frac{4x-3y}{3x+4y}

Hence,

Option 2: \frac{4x-3y}{3x+4y} is the right answer

Keywords: fractions, simplification

Learn more about fractions at:

  • brainly.com/question/4401748
  • brainly.com/question/4459688

#LearnwithBrainly

4 0
3 years ago
I cant feel my hand helppppppp
suter [353]

Answer: Are you ok?

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the standard form when your ordered pairs are (4,5) and your slope is 5/4?
lara31 [8.8K]
The slope (m) and the ordered pairs are given.
In order to arrive at the standard form : AX + BY = C, we need to form the slope-intercept form first : y = mx + b

Substitute the values in order to get the intercept (b)
y = mx + b
5 = 5/4 * 4 + b
5 = 5 + b
b = 0

So given the m = 5/4, b = 0
y = mx + b
y = 5/4x+ 0

Converting it to Standard Form
y = 5/4x + 0
5/4x - y = 0 (multiply both sides by 4)
5x - 4y = 0

<span>So the Standard form is 5x - 4y = 0</span>
3 0
3 years ago
3 + 4 = ?<br> וא<br> 2/3+2/4
Elina [12.6K]

Answer:

1. 7

2. 17/12 can be a mixed number

8 0
3 years ago
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