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swat32
2 years ago
12

Write the equation of the line that passes through the point (2,-9) and has a slope of -5.

Mathematics
1 answer:
balu736 [363]2 years ago
7 0

Step-by-step explanation:

Find equation

y - y1 = m(x - x1)

y + 9 = -5(x - 2)

y = -5x + 10 - 9

y = -5x + 1 → Equaton

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The table below shows the number of cups of coffee people drink a day
Effectus [21]

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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<span>f(g(x))= x and g(f(x))=x</span>
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54 is 90% of what number?
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Step-by-step explanation:

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