3 years ago

Quadrilateral ABCD with A(-3,0) B(1,2) C(2,0) D(-2,-2)

Mathematics

1 answer:

Ugo [173]3 years ago

5 0

The graph would not make a parallelogram.

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mariarad [96]

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3 years ago

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The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, t

Marat540 [252]

$\mathbb P(X>250)=\mathbb P\left(\dfrac{X-190}{30}>\dfrac{250-190}{30}\right)=\mathbb P(Z>2)\approx0.0228$

Or, if you're familiar with the empirical rule and the basic properties of the normal distribution, you can use the fact that approximately $95/%$ of the distribution lies within two standard deviations of the mean, or

$\mathbb P(|Z|$

which means about $5\%$ of the distribution lies outside this interval, or

$\mathbb P((-22))\approx0.05$

Because the distribution is symmetric, you have

$\mathbb P(-22)$
$\implies \mathbb P((-22))=\mathbb P(-22)=2\mathbb P(Z>2)\approx0.05$
$\implies \mathbb P(Z>2)\approx 0.025$