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3 years ago

5

2/3(x-9)= -11 What is the answer for X

2 answers:

Yanka [14]3 years ago

8 0

Answer:

X= -7.5

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolate the variable.

The first step would be to distribute the 2/3 to the x and -9 and you get 2/3 x -6 = -11. Then you add 6 to both sides, equaling to 2/3x = -5. The second to last step would be multiplying both sides by 3 canceling out the fraction on the left ; the equation would be 2x = -15. The final step is to divide both sides by the variable (2x) and therefore x equals -15/2 or -7.5 .

jonny [76]3 years ago

6 0

Answer:

x = - $\frac{15}{2}$

Step-by-step explanation:

Given

$\frac{2}{3}$ (x - 9) = - 11

Multiply both sides by 3 to clear the fraction

2(x - 9) = - 33 ← distribute left side

2x - 18 = - 33 ( add 18 to both sides )

2x = - 15 ( divide both sides by 2 )

x = - $\frac{15}{2}$

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Read 2 more answers

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lbvjy [14]

Answer:

<em></em> $\sigma = 1.8$ <em></em>

<em></em>

Step-by-step explanation:

Given

$\begin{array}{ccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} \ \\ P(x) & {0.2} & {0.1} & {0.1} & {0.2} & {0.2}& {0.2} \ \end{array}$

Required

The standard deviation

First, calculate the expected value E(x)

$E(x) = \sum x * P(x)$

So, we have:

$E(x) = 0 * 0.2 + 1 * 0.1 + 2 * 0.1 + 3 * 0.2 + 4 * 0.2 + 5 * 0.2$

$E(x) = 2.7$

Next, calculate E(x^2)

$E(x^2) = \sum x^2 * P(x)$

So, we have:

$E(x^2) = 0^2 * 0.2 + 1^2 * 0.1 + 2^2 * 0.1 + 3^2 * 0.2 + 4^2 * 0.2 + 5^2 * 0.2$

$E(x^2) = 10.5$

The standard deviation is:

$\sigma = \sqrt{E(x^2) - (E(x))^2}$

$\sigma = \sqrt{10.5 - 2.7^2}$

$\sigma = \sqrt{10.5 - 7.29}$

$\sigma = \sqrt{3.21}$

<em></em> $\sigma = 1.8$ <em> --- approximated</em>

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