All categories

3 years ago

A sphere has a diameter of 24 units. What is its volume in cubic units?

1 answer:

34kurt3 years ago

8 0

V = (4/3)π.R³

Diameter - 24 units so Radius = 24/2 = 12 Inits

V= (4π/3).12³ =(4π/3). 1728
V=1728 x 4/3 x π = 2,304.π units³

You might be interested in

HHenry is going on a trip to Brazil. He is currently deciding which cities he will visit during his stay. The table below shows

Karo-lina-s [1.5K]

First, sum up the total expenses for the original plan

Duque de Caxias + Campinas + Rio de Janeiro + Guarulhos = 242+185+193+120 = R$740

It is clearly over the intended budget. The average cost per itinerary is around R$200 so we will consider making a swap on either Duque de Caxias and Rio de Janeiro. Possible answers are (b) or (c)

for (b) Replace Duque de Caxias with Fortaleza, we will have

Fortaleza + Campinas + Rio de Janeiro + Guarulhos =
⇒ 201+185+193+120 = R$699 ⇒ This is exactly the budget intended for the trip

for (C) Replace Rio de Janeiro with Porto Alegre
Duque de Caxias + Campinas + Porto Alegre + Guarulhos =
⇒ 242 + 185 + 153 +120 = R$ 700 ⇒ This is over R$1

The answer is (b)

5 0

3 years ago

Read 2 more answers

Five friends plan to split a restaurant bill evenly. The total cost of the meal is $89.75, and they want to leave a 20% tip. Wha

sladkih [1.3K]

The answer is 21.54

Hope this helped

8 0

3 years ago

Read 2 more answers

Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of

Olin [163]

Answer:

$P(16.5$

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

$P(-1.768< Z< 1.768) = P(Z$

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 avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

$X \sim N(17.5,4)$

Where $\mu=17.5$ and $\sigma=4$

Since the distribution for X is normal then, the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu= 17.5, \frac{\sigma}{\sqrt{n}}= \frac{4}{\sqrt{50}}=0.566)$

We select a sample of n =50 people. And we want to find the following probability

$P(16.5$

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

$P(-1.768< Z< 1.768) = P(Z$

4 0

3 years ago

How can the effect of an outlier be overcome in an experiment that examines a random sample of a population?

Step2247 [10]

To overcome and identify outliers, the data obtained can be arranged into from the highest to lowest and be oberved on which values have the highest or lowest value.

Thank you for your question. Please don't hesitate to ask in Brainly your queries.

3 0

3 years ago

Suppose 15% of $x$ equals 20% of $y$. What percentage of $x$ is $y$ ?

viktelen [127]

Answer:

Step-by-step explanation:

4 0

2 years ago