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drek231 [11]
3 years ago
5

What is the greatest common factor of x4 and x3

Mathematics
1 answer:
Dvinal [7]3 years ago
5 0

Answer:

x3

Step-by-step explanation:

Considering x4 and x3 actually power terms.

I mean: x4 is x^{4} and x3 is x^{3}.

Let's decompose the first term: x^{4}=x^{3}.x

Now it is clear that the common factor is x^{3}.

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lawyer [7]

Answer:

BFC makes this angle add up to 90 degree at BFD

Therefore it becomes complementary to angle CFD

4 0
3 years ago
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United Flight 15 from New York's JFK airport to San Francisco uses a Boeing 757-200 with 182 seats. Because some people with res
Tcecarenko [31]

Answer:

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

Step-by-step explanation:

For each passenger, there are only two outcomes possible. Either they show up for the flight, or they do not show up. This means that we can solve this problem using binomial distribution probability concepts.

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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

A probability is said to be unusually low if it is lower than 5%.

For this problem, we have that:

There are 200 reservations, so n = 200.

A passenger consists in a passenger not showing up. There is a .0995 probability that a passenger with a reservation will not show up for the flight. So \pi = 0.0995.

Find the probability that when 200 reservations are accepted for United Flight 15, there are more passengers showing up than there are seats available.

X is the number of passengers that do not show up. It needs to be at least 18 for the flight not being overbooked. So we want to find P(X < 18), with \pi = 0.0995, n = 200. We can use a binomial probability calculator, and we find that:

P(X < 18) = 0.2927.

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

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3 years ago
Answer needed quick <br> is it <br> supplementary<br> vertical<br> complementary <br> adjacent
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Answer:

Vertical angles

Step-by-step explanation:

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Answer: 97.5m

Step-by-step explanation:

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Assuming thay line WXZ is straight, what are the measure and classification of angle YXZ?
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It’s b.
because it’s would be 180-45
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