2 years ago

-3x=24 A.)x=-8 b.)x=8 c.)x=27 d.)x=21

1 answer:

soldier1979 [14.2K]2 years ago

3 0

The answer is a, -8. first you have to set up the equation -3x=24 split it down the middle, then you have to get rid of the x on one side, so you have to do the opposite, right now it’s saying -3*x, opposite of multiplication is division. so you take -3/-3 and you’re left with x, then you have to do the same to the other side, 24/-3 and you get -8. so x=-8

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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