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3 years ago

Line e passes through points (7, 8) and (4, 10) Line f is parallel to line e. What is the slope of line f?

Mathematics

1 answer:

Tatiana [17]3 years ago

8 0

<h3>Answer: -2/3</h3>

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Explanation:

Use the slope formula to find the slope of line E

m = (y2-y1)/(x2-x1)

m = (10-8)/(4-7)

m = 2/(-3)

m = -2/3

The slope of line E is -2/3

The slope of line F is also -2/3 since parallel lines have equal slopes but different y intercepts.

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The table below shows the number of cups of coffee people drink a day

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The mean of a distribution is the sum of the data elements divided by the count of the dataset.

<em>The mean of the distribution is 4</em>

The complete table is given as

$\left[\begin{array}{cc}People & Frequency &0 - 2 & 5 & 3 - 5 & 25 & 6 - 8 & 5\end{array}\right]$

The complete question requires that, we calculate the mean of the dataset

First, we calculate the class midpoint

This is the average of the class interval

<u />

<u>For interval 0 - 2, </u>

$x_1 = \frac{0 + 2}{2} = 1$

<u>For interval 3 - 5,</u>

$x_2 = \frac{3 + 5}{2} = 4$

<u>For interval 6 - 8</u>

$x_3 = \frac{6 + 8}{2} = 7$

So, the table becomes

$\left[\begin{array}{ccc}People & x & Frequency &0 - 2 &1 & 5 & 3 - 5 & 4& 25 & 6 - 8& 7 & 5\end{array}\right]$

The mean is then calculated as:

$\bar x = \frac{\sum fx}{\sum f }$

This gives

$\bar x = \frac{5 \times 1 + 25 \times 4 + 5 \times 7}{5 + 25 + 5}$

$\bar x = \frac{140}{35}$

$\bar x = 4$

Hence, the mean of the distribution is 4

Read more about mean at:

brainly.com/question/17060266

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2 years ago

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Answer: 1.5

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-13 divided by 2 is -6.5

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