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3 years ago

An apartment complex has a total of 175 units. Of these, 154 units are occupied. What percent of the apartment are unoccupied?

Mathematics

1 answer:

katovenus [111]3 years ago

7 0

Answer:

12%

Step-by-step explanation:

There are a total of 175 units in an apartment complex.

Out of which, 154 units are occupied.

Now, we have to find the percentage of the apartment which are unoccupied.

So, the number of units that are not occupied is (175 - 154) = 21.

Hence, the percentage of the number of unoccupied units of the apartment complex will be $\frac{21}{175}\times 100 \% = 12 \%$ (Answer)

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5 3/12 - 1 4/9 what is the answer

Vlad1618 [11]

The answer is 3 29/36

5 3/12 = 5 9/36

1 4/9 = 1 16/36

So the answer equation is 5 9/36 - 1 16/36

down: 4 45/36 - 1 16/36 = 3 29/36

I HOPE THIS HELPS

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3 years ago

Find all solutions to 6x^4+13x^3–71x^2+67x=15

yarga [219]

Answer:

x = 1 or x = 3 / 2 or x = −5 or x = 1 / 3

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3 years ago

Solve 5-2x<7<br> x<-1<br> x>-1<br> x<-12<br> X>-12

Alex

$5-2x$

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2 years ago

A birthday celebration meal is $ 47.40 including tax, but not the tip. Find the total cost if a 15% tip is added to the cost of

Afina-wow [57]

Answer:

$54.51

Step-by-step explanation:

an easier way to do this is simply by multiplying 47.40x115%, which is 54.51.

another way to do this is by multiplying 47.40x15%, which is 7.11, then you'll have to added to 47.4, which gives you the same answer of 54.51

6 0

3 years ago

The Washington, DC, region has one of the fastest-growing foreclosure rates in the nation, as 15,613 homes went into foreclosure

Ilia_Sergeevich [38]

Answer:

a) 0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b) 0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c) The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

Step-by-step explanation:

For each home, there are only two possible outcomes. Either it goes into foreclosure, or it does not. The probability of a home going into foreclosure is independent of other homes. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?

The foreclosure rate is 1.31% for the Washington, DC area, which means that $p = 0.0131$

We wanto to find, with $n = 100$ :

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{100,0}.(0.0131)^{0}.(0.9869)^{100} = 0.2675$

$P(X = 1) = C_{100,1}.(0.0131)^{1}.(0.9869)^{99} = 0.3551$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.2675 + 0.3551 = 0.6226$

0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?

Foreclosure rate of 0.87% for the nation, which means that $p = 0.0087$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{100,0}.(0.0087)^{0}.(0.9913)^{100} = 0.4174$

$P(X = 1) = C_{100,1}.(0.0087)^{1}.(0.9913)^{99} = 0.3663$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.4174 + 0.3663 = 0.7837$

0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c. Comment on the above findings.

The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

7 0

3 years ago