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2 years ago

A normal distribution has a mean of 4 and a standard deviation of 1. What percent of values are from 4 to 7?

Mathematics

1 answer:

Igoryamba2 years ago

6 0

Answer:

49.865%

Step-by-step explanation:

Given that:

μ = 4 ; σ = 1

For x = 4

P(x < 4) :

Z score (x - μ) / σ

P(x < 7) - P(x < 4)

((7 - 4) / 1) - ((4 - 4) / 1)

P(Z < 3) - P(Z < 0)

Usibg the Z probability calculator :

0.99865 - 0.5

= 0.49865

= 0.49865 * 100

= 49.865%

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SVETLANKA909090 [29]

We have to identify the function which has the same set of potential rational roots as the function $g(x)= 3x^5-2x^4+9x^3-x^2+12$ .

Firstly, we will find the rational roots of the given function.

Let 'p' be the factors of 12

So, p= $\pm 1, \pm 2, \pm 3, \pm 4, \pm 6$

Let 'q' be the factors of 3

So, q= $\pm 1, \pm 3$

So, the rational roots are given by $\frac{p}{q}$ which are as:

$\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}$ .

Consider the first function given in part A.

f(x) = $3x^5-2x^4-9x^3+x^2-12$

Here also, Let 'p' be the factors of 12

So, p= $\pm 1, \pm 2, \pm 3, \pm 4, \pm 6$

Let 'q' be the factors of 3

So, q= $\pm 1, \pm 3$

So, the rational roots are given by $\frac{p}{q}$ which are as:

$\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}$ .

Therefore, this equation has same rational roots of the given function.

Option A is the correct answer.

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