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3 years ago

A line passes throught the point (-4,7) and has a slope of 2/3. Write an equation in point slope form for this line.

1 answer:

8 0

Equation in point slope form of a line:
y-y₀=m(x-x₀)
m=slope

(x₀,y₀)=(-4,7)
m=2/3
y-7=(2/3)(x+4)

Answer: y-7=(2/3)(x+4)

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3 years ago

? X 1/4 = 1/3 <br><br> Need help please

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3 years ago

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

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1 year ago