Use the graph of the quadratic function y =

What can you conclude about the population density from table provided

vaieri [72.5K]

The population density of an area is the number of people living in per unit area. The most populated region is Region A.

<h3>What is Population Density?</h3>

The population density of an area is the number of people living in per unit area. It is given by the formula,

$\text{Population Density}=\dfrac{\text{Population of the area}}{\text{Total area}}$

The population density of the different regions is as follows,

Region A = 20,178 person /521 km² = 38.729 person/km²

Region B = 1,200 person /451 km² = 2.66 person/km²

Region C = 13,475person /395 km² = 34.114 person/km²

Region D = 6,980 person /426 km² = 16.385 person/km²

Hence, The most populated region is Region A.

Learn more about Population Density:

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7 0

2 years ago

If cscØ=8/7, which equation represents cotØ?

Sergeeva-Olga [200]

Answer:

2nd one

Step-by-step explanation:

I believe it s number 2 the scevjj

3 0

3 years ago

A paper cup is dropped and its landing position is recorded. The cup can land on the side, on the open end, or on the closed end

Tanya [424]

prob( it lands on open end) = 8/20 = 2/5

prob ( lands on closed end) = 4/20 = 1/5

The second choice is correct.

8 0

4 years ago

Read 2 more answers

Factor completely 4h2 g. H(4h g) g(4h2) Prime gh(4h 1).

elena55 [62]

The expression can be divided by one and itself only. Then the expression is a prime expression. The correct option is C.

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is $\rm 4h^2 + g$

The expression can be written as

$\rm (2h)^2 + g$

The expression can not be the real factor.

Since the expression can be divided by one and itself only.

Then the expression is a prime expression.

Thus, the correct option is C.

More about the factorization link is given below.

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3 0

3 years ago

High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high

KengaRu [80]

Answer:

1. It is not appropriate to use the normal curve, since np = 7.4 < 10.

2. The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.

Step-by-step explanation:

Binomial approximation to the normal:

The binomial approximation to the normal can be used if:

np >= 10 and n(1-p) >= 10

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

The proportion of U.S. adults with high blood pressure is 0.2. A sample of 37 U.S. adults is chosen.

This means, respectively, that $p = 0.2, n = 37$

Is it appropriate to use the normal approximation to find the probability that more than 48% of the people in the sample have high blood pressure?

np = 37*0.2 = 7.4 < 10

So not appropriate.

It is not appropriate to use the normal curve, since np = 7.4 < 10.

Part 2:

Now n = 82, 82*0.2 = 16.4 > 10, so ok

Mean and standard deviation:

By the Central Limit Theorem,

Mean $\mu = p = 0.2$