Mathematics, 12.02.2021 14:10 Emmylu

10% A village has an area of 6 km’ and a population density of 600 people per km².
An estate situated next to the village has a population of 800 and a population
density of 400 people per km².
Work out the population density, in people per km², for the village alad
the estate together.
+
[2]

Answers: 2

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Answer from: ricosuave42pf0gdn

The population density for the village and the estate together is 112.5 people per square kilometer.

Step-by-step explanation:

The statement is incorrectly written. Correct form is described below:

A village has an area of 6 square kilometers and a population density of 600 people per square kilometer. An estate stituated next to the village has a population of 800 and a population density of 400 people per square kilometer. Work out the population density, in people per square kilometer, for the village and the state together.

Dimensionally speaking, the population density of the village and the estate together (), measured in people per square kilometer, is defined by this expression:

$r = \frac{n_{V}+n_{E}}{A_{V}+A_{E}}$ (1)

Where:

$n_{V}$ , $n_{E}$ - Population of the village and the estate, measured in people.

$A_{V}$ , $A_{E}$ - Area of the village and the estate, measured in square kilometers.

First, we find the population of the village:

$n_{V} = \frac{600\,\frac{p}{km^{2}} }{6\,km^{2}}$

$n_{V} = 100\,p$

Then, we determine the area of the estate:

$A_{E} = \frac{800\,p}{400\,\frac{p}{km^{2}} }$

$A_{E} = 2\,km^{2}$

If we know that $n_{V} = 100\,p$ , $n_{E} = 800\,p$ , $A_{V} = 6\,km^{2}$ and $A_{E} = 2\,km^{2}$ , then the population density of the village and the estate together is:

$r = \frac{100\,p+800\,p}{6\,km^{2}+2\,km^{2}}$

$r = 112.5\,\frac{p}{km^{2}}$

The population density for the village and the estate together is 112.5 people per square kilometer.

Answer from: Quest

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

Answer from: Quest

Any pictures or something i need more info

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10% A village has an area of 6 km’ and a population density of 600 people per km².
An estate...