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3 years ago

What is the circumference of a circle with area 49Pi? Round to the nearest tenth.

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

6 0

Answer:

15.6=C

Step-by-step explanation:

Area is equal to pi times radius squared. Circumference is equal to 2 times pi times radius. Divide area by pi and then take the square root of that number.

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Factor 2x2 + 6x – 108.

bekas [8.4K]

Answer:

option A is correct

hope it helps

4 0

3 years ago

Read 2 more answers

Determine if the conclusion follows logically from the premises. Is this a valid or invalid argument?

Oksi-84 [34.3K]

Answer:

Valid Argument

Step-by-step explanation:

An argument is valid if its conclusion follows with certainty from its premises.

Given:

Premise: If it has an engine, I can fix it.

Premise: Cars have engines.

Conclusion: I can fix cars.

The argument is valid since the conclusion follows with certainty from the given premises.

7 0

3 years ago

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

Given that f(x)=6x+2 and g(x)= 2x+4/5 solve for g(f(1))

kolbaska11 [484]

Note that f(1) = 6(1)+2 = 8. Next, evaluate g(x) at x=8: g(f(1)) = g(8) = 2(8) + 4/5, or 16 4/5.

3 0

3 years ago

The population of Hermitville increased from 142,340 to 186,480 in the last 5 years. During the same time period, Crabville incr

Musya8 [376]

The rate of increase of population of Hermitville is given by:
PR=(Present Population-Past Population)/(Past population)*100
PR=(186480-142340)/142340×100
PR=31.01%
The population increase in Hermitville is 31.01;
This implies that it's population growth is faster than that of Crabville by a factor of
31.01/26=1.19.
The answer is B

5 0

4 years ago

Read 2 more answers