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3 years ago

How many ways can you distribute 4 different balls among 4 different boxes?

Mathematics

2 answers:

vampirchik [111]3 years ago

8 0

It can be 14 or it can be 256 (4 to the power of 4)

Sav [38]3 years ago

6 0

Answer:

16?? not sure.......

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A jar contains 100 ounces of lemonade. A spout at the bottom of the jar is opened and the lemonade pours out at a rate of 10 oun

emmasim [6.3K]

Answer:

100 ounces(hope it help)

Step-by-step explanation:

because there is only 100 ounces in the jar.

4 0

3 years ago

Instructions:Select the correct answer. What is the general form of the equation of the given circle with center A? x2 + y2 + 6x

forsale [732]

Its the third one hope this helps

8 0

3 years ago

Read 2 more answers

How many days are there in 4 years,that is,3 years and 1 leap year??

____ [38]

I think the answer is 1,096 days

6 0

3 years ago

The mean annual income for people in a certain city is 37 thousand dollars, with a standard deviation of 28 thousand dollars. A

Aloiza [94]

Answer:

$P( 31 < \bar X< 41)$

And we can ue the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using this formula we got for the limits:

$z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515$

$z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01$

So we want to find this probability:

$P(-1.515$

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 annual income of a population, and for this case we know the following info:

$\mu=37$ and $\sigma=28$ and we are omitting the zeros from the thousand to simplify calculations

We select a sample size of n=50>30.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we want to find this probability:

$P( 31 < \bar X< 41)$

And we can ue the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using this formula we got for the limits:

$z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515$

$z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01$

So we want to find this probability:

$P(-1.515$

4 0

3 years ago

Scientists have found that the life span of a mammal living in captivity is related to the mammals mass. The life span in years

Tatiana [17]

To know the life span of the wolf and the lion, we simply substitute their mass to the formula for L.

Mass of wolf:
$L=12 m^{ \frac{1}{5} }= 12 (32)^{ \frac{1}{5} }=24$

Mass of lion:
$L=12 m^{ \frac{1}{5} }= 12 (243)^{ \frac{1}{5} }=36$

Therefore, the wolf has a life span of 24 and the lion has a life span of 36. With this information, we can determine how much longer the life span of the lion is:
$36-24=12$

ANSWER: The life span of the lion is 12 longer than the life span of the wolf.

7 0

3 years ago