Mathematics: Solve this for x. i have had 3 tries and can’t get the right answer.

Solve this for x. i have had 3 tries and can’t get - id32345782, bigboyethanlanp2s9lm

Ответ:

audreymvarney

02.01.2022

$\bf \begin{cases}
4x-1\ \textless \ -13\\
3-2x\ \textless \ 7
\end{cases}\\\\
-------------------------------\\\\
4x-1\ \textless \ -13\implies 4x\ \textless \ -12\implies x\ \textless \ \cfrac{-12}{4}\implies \boxed{x\ \textless \ -3}\\\\
-------------------------------\\\\
3-2x\ \textless \ 7\implies 3\ \textless \ 7+2x\implies -4\ \textless \ 2x\implies \cfrac{-4}{2}\ \textless \ x
\\\\\\
\boxed{-2\ \textless \ x}\\\\
-------------------------------\\\\
~~~~~~~~~~~~~~ -2 \ \textless \ x \ \textless \ -3$

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Ответ:

HBBTRACO224

03.08.2022

Mathematics

20.33%

Step-by-step explanation:

We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12

They ask us for P (x <86)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (86 - 87.5) / (6.25 / (12 ^ 1/2))

z = -0.83

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <-0.83) = 0.2033

The probability is 20.33%

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Solve this for x. i have had 3 tries and can’t get the right answer.

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