I need help with number 13, 14, 15 and 16 please

Mathematics

1 answer:

katovenus [111]3 years ago

8 0

The picture is sideways can you flip it?

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the function y =³√-x – 3 is graphed only over the domain of {x | –8 < x < 8}. what is the range of the graph? a). {y | –5

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$y=\sqrt[3]{-x}-3\ and\ x\in(-8;\ 8)\\\\subtitute\ x=-8\ and\ x=8\ to\ the\ equation:\\\\y=\sqrt[3]{-(-8)}-3=\sqrt[3]8-3=2-3=-1\\\\y=\sqrt[3]{-8}-3=-2-3=-5\\\\Answer:\boxed{\{y|-5 \ \textless \ y \ \textless \ -1\}}\to\fbox{b.}$

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vampirchik [111]

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Step-by-step explanation:

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The average THC content of marijuana sold on the street is 10.5%. Suppose the THC content is normally distributed with standard

MA_775_DIABLO [31]

a. This information is given to you.

b. We want to find

$\mathrm{Pr}\{X > 8.9\}$

so we first transform $X$ to the standard normal random variable $Z$ with mean 0 and s.d. 1 using

$X = \mu + \sigma Z$

where $\mu,\sigma$ are the mean/s.d. of $X$ . Now,

$\mathrm{Pr}\left\{\dfrac{X - 10.5}2 > \dfrac{8.9 - 10.5}2\right\} = \mathrm{Pr}\{Z > -0.8\} \\\\~~~~~~~~= 1 - \mathrm{Pr}\{Z\le-0.8\} \\\\ ~~~~~~~~ = 1 - \Phi(-0.8) \approx \boxed{0.7881}$