Mathematics: What is this equation 9x+3(5+2x+8x)? use distributive property in this equation.

What is this equation 9x+3(5+2x+8x)? use distributive

Abrahamolve

27.05.2020

Use the distributive property:

9x+15+6x+24x

Then add like terms:

39x+15

This is its most simplified form.

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ktown9

23.02.2020

The width is $w = \$ 729.7$

Step-by-step explanation:

From the question we are told that

The population standard deviation is $\sigma = \% 1,000$

The sample size is n = 50

The sample mean is $\= x = \$ 15,000$

Given that the confidence level is 99% then the level of significance is mathematically represented as

$\alpha = 100 - 99$

=> $\alpha = 1\%$

=> $\alpha = 0.01$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } = 2.58$

Generally margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 2.58 * \frac{1000 }{\sqrt{50} }$

E = 364.9

The width of the 99% confidence interval is mathematically evaluated as

w = 2 * E

substituting values

w = 2 * 364.9

$w = \$ 729.7$

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