Ask question

Ask question

All categories

2 years ago

15

Write an equation describing the relationship of the given variables. y varies inversely as the cube root of x and when x=125, y

=8.

1 answer:

notka56 [123]2 years ago

4 0

Answer:

y = 40 / x^1/3

Step-by-step explanation:

Given that :

y α x^1/3

y = k * 1 / x^1/3

y = k / x^1/3

When x = 125 ; y = 8

8 = k / 125^1/3

Cube root of 125 = 5

8 = k / 5

8 * 5 = k ; k = 40

Hence, expression becomes :

y = 40 / x^1/3

You might be interested in

In the given figure, AE/IBC, square ABCD and triangle EBC are standing a

prisoha [69]

Answer:

The area of AEBC is 36 cm²

hope it is helpful to you

3 0

2 years ago

Read 2 more answers

If a piece of wood with a length of five feet is cut into six equal pieces, what is the length of each piece?

GenaCL600 [577]

Answer:

The length is 0.83

Step-by-step explanation:

6 0

2 years ago

The weight of a product is normally distributed with a mean of four ounces and a variance of .25 squared ounces. What is the pro

ololo11 [35]

Answer:

$P(X>3.75)=P(\frac{X-\mu}{\sigma}>\frac{3.75-\mu}{\sigma})=P(Z>\frac{3.75-4}{0.5})=P(z>-0.5)$

And we can find this probability using the complement rule and we got:

$P(z>-0.5)=1-P(z$

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 weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(4,\sqrt{0.25}=0.5)$

Where $\mu=4$ and $\sigma=0.5$

We are interested on this probability

$P(X>3.75)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>3.75)=P(\frac{X-\mu}{\sigma}>\frac{3.75-\mu}{\sigma})=P(Z>\frac{3.75-4}{0.5})=P(z>-0.5)$

And we can find this probability using the complement rule and we got:

$P(z>-0.5)=1-P(z$

5 0

3 years ago

Calculate the volume of the figure.

dimaraw [331]

Answer: The volume is 33 cubic centimeters.

Step-by-step explanation:

First find the volume of the square pyramid on top of the cube. To find the volume of the square pyramid you use the volume a^2*h/3 a is the side length of the base of the square pyramid and h is the height all divide by 3.

So we can say that the side length of the base of the square pyramid is 3 because it has the same side length base as the cube.

V= 3^2 * 2 /3

V= 9 * 2 /3

V= 18/3

v= 6

So the volume of the square pyramid is 6 so now we need to find the volume of the cube and add them together.

Volume of the a cube uses the formula s^3 where s is the side length.

V= 3^3

v= 3*3*3

v= 27

The volume of the cube is 27.

Add 6 and 27 to find the total volume.

6 +27 = 33

8 0

3 years ago

What is the expanded form of this number?<br><br> 509.307

ioda

92828383939.949494949

8 0

3 years ago