2 years ago

The number e is an irrational number approximately equal to 2.718 between which pair of square roots does e fall

Mathematics

1 answer:

Shkiper50 [21]2 years ago

3 0

Answer:

It falls between √7 and √8

Step-by-step explanation:

Please kindly check the attached file for explanation.

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Step-by-step explanation:

The given parameters can be represented as:

$\begin{array}{ccccccc}x & {5} & {4} & {3} & {2} & {1}& {0} & P(x) & {25\%} & {30\%} & {20\%} & {15\%} & {5\%} & {5\%} \ \end{array}$

Solving (a): P(x < 3)

This is calculated as:

$P(x < 3) = P(x = 0) + P(x = 1) + P(x =2)$ ----- i.e. all probabilities less than 3

So, we have:

$P(x < 3) = 5\% + 5\% + 15\%$

$P(x < 3) = 25\%$

Solving (b): Expected number of events

This is calculated as:

$E(x) = \sum x * P(x)$

So, we have:

$E(x) = 5 * 25\% + 4 * 30\% + 3 * 20\% + 2 * 15\% + 1 * 5\% + 0 * 5\%$

$E(x) = 125\% + 120\% + 60\% + 30\% + 5\% + 0\%$

$E(x) = 340\%$

Express as decimal

$E(x) = 3.40$

Approximate to the nearest integer

$E(x) = 3$

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