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3 years ago

Can someone explain HOW to simplify this algebraic fraction, as in tell me why and what I need to do for each step : 1-n/n^2-1

1 answer:

8 0

- I’m assuming the expression implies the following:

(1-n)/(n^2 - 1)

The steps goes as follows:

= -(n-1)/(n^2-1) (factored a negative out)
= -(n-1)/[(n+1)(n-1)] (Factored denominator into a difference of squares, but don’t just blindly accept the fact, expand it and you should get the original denominator)

At this point, the (n-1) terms cancel, as you should know: a real number, besides 0, over itself is 1.

= -1/(n+1) , which is the answer

Note: You could also see it as 1/-(n+1) or 1/(-n-1)

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When the Bucks play Chiefs at football, the probability that the Chiefs, on present form, will win is 0.56. In a competition, th

Tom [10]

Answer:

The probability that Swallows will win the trophy is 0.8064

The probability that Rucks will win the trophy is 0.1936

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Swallows win, or they do not. The probability of them winning a game is independent of any other game, which means that the binomial probability distribution is used.

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.

Probability the Swallows wins is 0.56

This means that $p = 0.56$

2 games:

This means that $n = 2$

The probability that Swallows will win the trophy is

Probability they win at least one game, so:

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{2,0}.(0.56)^{0}.(0.44)^{2} = 0.1936$

Then

$P(X \geq 1) = 1 - 0.1936 = 0.8064$

0.8064 = 80.64% probability the Swallows win the trophy and 0.1936 probability that the Rucks win the trophy.

5 0

3 years ago

Factor by using the GCF.

Lady_Fox [76]

Both terms have a 2x^4 in common. When this GCF is factored out you get 2x^4(x^2 - 6).

Answer is C

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3 years ago

To which graph does the point (8, -2) belong?

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4 quadrant because on a graph a + and + are 1 then a - and a + are 2 then a - and a - are 3

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Pls explain how to do this

8090 [49]

Answer:

3 1/12 miles

Step-by-step explanation:

$6\frac{3}{4} -3\frac{2}{3} \\\\=\frac{27}{4} -\frac{11}{3}\\\\ =\frac{81}{12} -\frac{44}{12} \\\\=\frac{37}{12}\\\\=3\frac{1}{12}$

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