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4 years ago

What is the domain of the function y=cube root of x

1 answer:

3 0

All real numbers. in interval notation, that's (−∞, ∞). there isn't a value you could insert for "x" that would give you an error.

You might be interested in

Find the area of a regular hexagon with apothem 2√3 mm. Round to the nearest whole number.

Varvara68 [4.7K]

Join the center of the hexagon with the 2 base angles.

An equilateral triangle, with side length x, is formed.

(remark: a regular hexagon is made up of 6 equilateral triangles with equal length)

The height $2 \sqrt{3}$ forms 2 congruent right triangles with :

hypotenuse= x, side_1=x/2, and side_2= $2 \sqrt{3}$ .

From the pythagorean theorem we have:

$x^{2} = ( \frac{x}{2} )^{2}+(2 \sqrt{3})^{2}$

$x^{2} = \frac{ x^{2} }{4} +12$

$\frac{3}{4} x^{2} =12$

$x^{2} = \frac{12*4}{3}=4*4$

thus, x=4.

The area of the triangle is 1/2 * 4 * $2 \sqrt{3}$ =6.93 (mm squared)

The area of the hexagon is 6* the area of the triangle = 42 (mm squared)

Answer: a. 42 (mm squared)

8 0

4 years ago

Plzz help meeee plzzzz help

ruslelena [56]

Answer: A. 20%

Step-by-step explanation:

First, to find the total number of teachers, we can add 25+32+18+5+20=100

Next, we divide the number of teachers in 2014 (20) by the total number of teachers (100) as follows:

20 ÷ 100 = 0.2

Finally, to make 0.2 a percentage, we can multiply 0.2 X 100 = 20

Therefore, the correct answer is A.

8 0

3 years ago

An artist is arranging tiles in rows to decorate a wall.Each new rows has 2 fewer tiles then the one below it.if the first row h

Helga [31]

There will be thirteen

4 0

3 years ago

Read 2 more answers

I=$70, P=$700, t=4 years

Marta_Voda [28]

Answer:

what is the question?

Step-by-step explanation:

8 0

3 years ago

Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a

shepuryov [24]

Answer:

a) $P(X$

And we can find this probability using the normal standard table or excel:

$P(z$

b) $P(X>77)=P(\frac{X-\mu}{\sigma}>\frac{77-\mu}{\sigma})=P(Z>\frac{77-75}{10})=P(z>0.2)$

And we can find this probability using the complement rule and the normal standard table or excel:

$P(z>0.2)=1-P(Z$

c) $z = \frac{70-75}{\frac{10}{\sqrt{16}}}= -2$

$z = \frac{80-75}{\frac{10}{\sqrt{16}}}= 2$

And we can find this probability with this difference:

$P(-2$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the life of a particular brand of a population, and for this case we know the distribution for X is given by:

$X \sim N(75,10)$