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Mathematics

1 answer:

nikitadnepr [17]3 years ago

5 0

The correct answer is A) y - 4 = -2/5(x + 1)

We know this because of the basic form of point slope form, which is shown below.

y - y1 = m(x - x1)

In which the point (x1, y1) is on the graph and m is the slope. When counting the slope, we can see that it is -2/5 based on the fact that for every two spaces the graph travels down, it moves to the right five. This eliminates options C and D and gives us this form to work with.

y - y1 = -2/5(x - x1)

Now we have the point (-1, 4), so we can plug this in to match it with a formula.

y - 4 = -2/5(x - -1)

y - 4 = -2/5(x + 1)

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Pachacha [2.7K]

Answer:

y= $\frac{3}{2}$ x -1

Step-by-step explanation:

To find slope I first found the two points on the graph which were (0, -1) and (2, 2). Then I used rise over run to find the slope the point went up 3 units and to the right two units.

then to find the y intercept I found a pint of the graph where the line had passed through the y-intercept line on the graph which just so happened to be -1.

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Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

6 0

2 years ago

Read 2 more answers

xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl

Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

$E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)$ $\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\ \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}$

Step 2:

Find the standard deviation.

$Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}$ $=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)$ $=4(0.25)+1(0.05)+0(0.15)+1(0.55)$ $=1+0.05+0+0.55=1.60$

Thus, the standard deviation is 1.60

Answer:

1.60