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Svetradugi [14.3K]
4 years ago
6

Alaska has a very low population density. It only has 655,000 people in 570,374 square miles.Find the unit rate of density in te

rms of people per square mile
Mathematics
1 answer:
kaheart [24]4 years ago
6 0

Answer:

The population density of Alaska is 1.148 people per square mile.

Step-by-step explanation:

Given:

Number of people = 655000

Land area = 570374 square miles.

We need to find the population density per square miles.

Solution:

Now we know that;

to find population density, we have to divide the population by the size of the area.

framing in equation form we get;

population density = \frac{Population}{Land\ area} = \frac{655000}{570374} = 1.148 \ people/mile^2

Hence the population density of Alaska is 1.148 people per square mile.

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Arlecino [84]

Answer:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146

P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389

And replacing we got:

P(X \geq 2) = 1-P(X

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=30, p=0.05)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Solution to the problem

For this case we want this probability:

P(X \geq 2)

And we can use the complement rule and we got:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146

P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389

And replacing we got:

P(X \geq 2) = 1-P(X

3 0
3 years ago
SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
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Answer:

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Step-by-step explanation:

-1 times 10 = -10

-1f times 3f = -3f

Sorry if this isn't right.

4 0
3 years ago
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At the market, 7 apples cost $4.55. How much do 9 apples cost?
Dvinal [7]
7 apples = 4.55
To find the single cost of an apple, divide 4.55 by 7
4.55/7 = 0.65 per apple
Let's check to see if this is right.
0.65 x 7 = 4.55 = correct
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6 0
4 years ago
Read 2 more answers
70%of it is 14 min find the valy ofx
astra-53 [7]

<em>Note:</em>

<em>Your questions sound a little unclear.</em>

<em>But, I am assuming your questions as:</em>

<em>''70% of x is 14 min. Find the value of x''.</em>

<em>So, I will solve assuming this statement which anyways would clear your concept. </em>

Answer:

The value of x = 20.

Step-by-step explanation:

Given

<em>''70% of x is 14 min. Find the value of x''.</em>

Thus,

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divide both sides by 0.7

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Therefore, we conclude that the value of x = 20.

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just olya [345]
The answer would be B
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