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2 years ago

Circletown's limits form a perfectly circular shape. It has a population of

Mathematics

2 answers:

Iteru [2.4K]2 years ago

5 0

Answer:

3.64 Km.

Step-by-step explanation:

Given,

Total population = 20,000 people

Population density = 480 people per square kilometer

Area of the circle town

$A = \dfrac{20000}{480}$

$A = 41.667\ km^2$

Radius of the circle town

$\pi r^2 = 41.667$

$r = 3.64\ km$

Hence, the radius of circle town is equal to 3.64 Km.

alexgriva [62]2 years ago

4 0

Answer:

3.64

Step-by-step explanation:

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2 years ago

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"Which of the following are continuous functions? (Select all that apply.)

Natasha2012 [34]

Answer:

□ The temperature at a specific location as a function of time.

□ The temperature at a specific time as a function of the distance due west from New York City.

□ The altitude above sea level as a function of the distance due west from New York City.

Step-by-step explanation:

Temperature tends to vary continuously over distance and time.

Altitude rarely changes so abruptly we'd have to say it is a discontinuous function. Even a cliff has a (very high) defined slope.

Taxi charges tend to increment according to a rate schedule. That is, for each passing minute or fraction of a mile, the amount due jumps to a new value. We'd have to say those are discontinuous.

The nature of electrical circuits is such that current is never discontinuous. Even when the circuit is disconnected by a switch, the arcing at the switch contacts ensures the current is continuous as it rapidly goes to zero.

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2 years ago

Which statements describe an object in motion that has no external force acting on it? Check all that apply.

Step2247 [10]

Answer: it moves at a constant speed and stays in the same direction

Step-by-step explanation:

It does this because there is no friction or nothing pushing on it therefore there is nothing to slow it down or speed it up

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2 years ago

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The owners of Expo Company John Smith and Susan Jones invested $240,000 and $160,000 into the business respectively. What percen

Troyanec [42]

Answer:

40%.

Step-by-step explanation:

We have been given that the owners of Expo Company John Smith and Susan Jones invested $240,000 and $160,000 into the business respectively. We are asked to find the percentage of business owned by Susan.

Let us figure out total money invested in business by adding the money invested by John Smith and Susan Jones.

$\text{Total money invested in business}=\$240,000+\$160,000$

$\text{Total money invested in business}=\$400,000$

Now we will find $160,000 is what percent of $400,000.

$\text{Percentage of business Susan own}=\frac{160,000}{400,000}\times 100$

$\text{Percentage of business Susan own}=0.4\times 100$

$\text{Percentage of business Susan own}=40$

Therefore, Susan owns 40% of the business.

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2 years ago

A factory makes propeller drive shafts for ships. A quality assurance engineer at the factory needs to estimate the true mean le

borishaifa [10]

Answer:

$1000-1.96\frac{2}{\sqrt{4}}=998.04$

$1000+1.96\frac{2}{\sqrt{4}}=1001.96$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$1000-1.96\frac{2}{\sqrt{4}}=998.04$

$1000+1.96\frac{2}{\sqrt{4}}=1001.96$

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2 years ago