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xenn [34]
3 years ago
15

Solve the following equation: 3x - 5 = 10 + 7x.

Mathematics
1 answer:
umka21 [38]3 years ago
6 0

When solving equations like these, our number one goal is to get x to be alone.

So given the equation lets go through it step by step.

3x - 5 = 10 + 7x  (first step is to add 5 to both sides)

    + 5 = + 5    ( Now lets see what we have now)

3x = 15 + 7x ( We need the x to be alone! So lets subtract -7x from both sides.)

-7x =       -7x   ( now what do we have?)

-4x = 15  (okay divide both sides by 4 to isolate the x)

÷4 = ÷4   (now the 4's on the left side cancel out, and we solve on the right side)

x = 3.75

That's your answer :) Good Luck!


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The mean of this  discrete random variable is 7.96

<em><u>Solution:</u></em>

Given that,

x         4       6          9         11        15

P(x)   0.20   0.34     0.15    0.22     0.09

<u><em>Mean is given as:</em></u>

\mu_{x}=\sum[x \times P(x)]

Therefore,

\mu_{x} = (4 \times 0.20) + (6 \times 0.34 ) + (9 \times 0.15 ) + (11 \times 0.22 ) + (15 \times 0.09)\\\\Simplify\\\\\mu_{x} = 0.8 + 2.04 + 1.35 + 2.42 + 1.35\\\\\mu_{x} = 7.96

Thus, mean of this  discrete random variable is 7.96

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Given data:

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