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SCORPION-xisa [38]
2 years ago
13

What is an equation of the line that passes through the point (2,−6) and is parallel to the line x−2y=8?

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
6 0

Answer:

y = x/2 - 7

Step-by-step explanation:

First, we need to find the slope of the given equation: x - 2y = 8

Subtract x from both sides

x - 2y = 8

- x        - x

-2y = 8 - x

Divide both sides by -2

-2y/-2 = (8 - x)/-2

y = -4 + x/2

The slope of this equation is 1/2

So the equation of our parallel equation is y = x/2 + b

We have to find b, so plug in the given coordinates

-6 = 2/2 + b

-6 = 1 + b

Subtract 1 from both sides

-6 = 1 + b

- 1    - 1

b = -7

Plug it back into the original equation

y = x/2 - 7

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You would like to build a relative frequency distribution for this data set to easily compare it to another class of students.
Dafna1 [17]

The relative frequency for the third class, 60 - 69 is equal to 12%.

<h3>What is a class width?</h3>

In a frequency distribution table, a class width can be defined as the difference between the upper (maximum) and lower (minimum) boundaries of any class in a data set. This ultimately implies that, all classes must all have the same width in a frequency distribution table.

<h3>What is a frequency table?</h3>

A frequency table can be used to graphically represent the frequencies or relative frequencies that are associated with a categorical variable.

<h3>How to calculate the relative frequency for the third class, 60 - 69?</h3>

First of all, we would determine the total number of frequency as follows:

Total frequency = 12 + 11 + 6 + 10 + 11

Total frequency = 50.

Mathematically, relative frequency can be calculated by using this formula:

Relative frequency = class frequency/total frequency × 100

Relative frequency = 6/50 × 100

Relative frequency = 0.12 × 100

Relative frequency = 12%.

Read more on frequency table here: brainly.com/question/20744563

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Complete Question:

You would like to build a relative frequency distribution for this data set to easily compare it to another class of students.

What is the relative frequency for the third class, 60 - 69?

8 0
1 year ago
28.9-32.5<br> i will be fine i just forget the steps
Mademuasel [1]

Answer:

-3.6

Step-by-step explanation:

Since 32.5 is greater than 28.9, you just subtract 32.5 from 28.9 then add an equal sign. 32.5-28.9=3.6. With the negative, it would be -3.6

3 0
3 years ago
Two angles of a quadrilateral measure 140° and 80°. The other two angles are in a
aliina [53]

Answer:

Step-by-step explanation :

Ratio = 3x : 4x

<h3>Sum of angle of a quadrilateral = 360</h3><h3>Therefore, 140+80+3x+4x = 360</h3><h3>220+7x = 360</h3><h3>7x = 360-220</h3><h3>x= 140/7</h3><h3>x=20</h3><h3>3x= 3×20=60</h3><h3>4x=4×20=80</h3>
7 0
3 years ago
Read 2 more answers
How do you get this answer ?
Leno4ka [110]
If you 
Let x to be the total number of pages in a book,

then 1/3x = 117

because 117 = 1/3 of a book
5 0
3 years ago
Help please this is due today
dangina [55]

The experimental probability that in a group of 4 students, at least one of them has brown eyes is 95%.

<h3>What is Experimental Probability?</h3>

Experimental probability is a probability that is determined on the basis of a series of experiments. A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial. The experiment is conducted to find the chance of an event to occur or not to occur.

Here , Favorable Outcome = 19

          Total outcomes = 20

Probability = Favorable Outcome/ Total Outcome

                   = 19 / 20

                   = 95%

Thus, the experimental probability that in a group of 4 students, at least one of them has brown eyes is 95%.

Learn more about Experimental Probability from:

brainly.com/question/15729871

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5 0
1 year ago
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