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wariber [46]
3 years ago
7

If f(x)=x-6 and g(x)=x^1/2(x+3) what is f(x) times g(x

Mathematics
2 answers:
Keith_Richards [23]3 years ago
8 0
\bf \begin{cases}
f(x)=x-6\\
g(x)=x^{\frac{1}{2}}(x+3)
\end{cases}
\\\\\\
f(x)\cdot g(x)\implies (x-6)\cdot \left[ x^{\frac{1}{2}}(x+3) \right]\implies (x-6)\cdot \left[ \stackrel{distributing}{x^{\frac{3}{2}}+3x^{\frac{1}{2}}} \right]

\bf x\left( x^{\frac{3}{2}}+3x^{\frac{1}{2}} \right)-6\left( x^{\frac{3}{2}}+3x^{\frac{1}{2}} \right)
\\\\\\
x^{\frac{5}{2}}+3x^{\frac{3}{2}}~~-~~6x^{\frac{3}{2}}-18x^{\frac{1}{2}}\implies \stackrel{\textit{adding like-terms}}{x^{\frac{5}{2}}-3x^{\frac{3}{2}}-18x^{\frac{1}{2}}}
\\\\\\
\stackrel{\textit{common factoring}}{x^{\frac{1}{2}}\left( x^{\frac{4}{2}}-3x^{\frac{2}{2}}-18 \right)}\implies x^{\frac{1}{2}}(x^2-3x-18)\implies x^{\frac{1}{2}}(x-6)(x+3)
dimaraw [331]3 years ago
7 0
This  is (x - 6)*x^1/2(x + 3)

= x^1/2 (x^2 - 3x - 18)

= x^(5/2) - 3x^(3/2) - 18x^(1/2)
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As described in z-distribution the answers are given below:

a) The 95% confidence interval estimate for the population mean spending by a customer on visiting salon per month is given as follows: (747, 853).

b) The sampling error at 95% confidence level is of: $35.78.

What is a z-distribution ?

The normal distribution with a mean of 0 and a standard deviation of 1 is referred to as the standard normal distribution (also known as the Z distribution) (the green curves in the plots to the right). It is frequently referred to as the bell curve since the probability density graph resembles a bell.

solution:

The bounds of the confidence interval are given as follows:

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is the sample mean.

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The upper bound of the interval is of:

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