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4 years ago

In a standard normal distribution 95% of the data is within +/- _____ standard deviations of the mean.

Mathematics

1 answer:

SCORPION-xisa [38]4 years ago

7 0

Approximately 95% of a normal distributions falls within 2 standard deviations of the mean.

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9x square 5x + square 5x

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3 years ago

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3 years ago

The concentration, in parts per million, of a type of antibiotic in a human's bloodstream after h hours can be modeled by the po

saveliy_v [14]

Answer:

$C(3)=17.69\ ppm$

Step-by-step explanation:

Given:

Given polynomial function is.

$C(h)=-0.09h^{2} +3.5h+8$

Hours $h=3$

We need to find the concentration of the antibiotic after 3 hours.

Solution:

Rewrite the given polynomial function as.

$C(h)=-0.09h^{2} +3.5h+8$

Substitute $h=3$ in given polynomial function.

$C(3)=-0.09(3)^{2} +3.5\times 3+8$

$C(3)=-0.09\times 9+10.5+8$

$C(3)=-0.81+10.5+8$

$C(3)=-0.81+18.5$

$C(3)=17.69\ ppm$

Therefore, the concentration of the antibiotic after 3 hours $C(3)=17.69\ ppm$ .

8 0

4 years ago

If f(2) = 13 and f '(x) ≥ 2 for 2 ≤ x ≤ 7, how small can f(7) possibly be?

timofeeve [1]

Answer:

Step-by-step explanation:

We are given that

f(2)=13

$f'(x)\geq 2$

$2\leq x\leq 7$

We have to find the possible small value of f(7).

We know that

$f'(x)=\frac{f(b)-f(a)}{b-a}$

Using the formula

$f'(x)=\frac{f(7)-f(2)}{7-2}$

$f'(x)=\frac{f(7)-13}{5}$

We have

$f'(x)\geq 2$

$\frac{f(7)-13}{5}\geq 2$

$f(7)-13\geq 2\times 5$

$f(7)-13\geq 10$

$f(7)\geq 10+13$

$f(7)\geq 23$

The small value of f(7) can be 23.

3 0

3 years ago

How do you get an out put from (x-7)/3

denis-greek [22]

Answer:

Substitute a value you want for x, for example:

if x = 1 then:

(1-7)/3 = -6/3 = -2

So,-2 would be the output for the imput x = 1

3 0

3 years ago