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3 years ago

How do you simplify(n!)^2/(n+1)!(n-1)!

1 answer:

5 0

We haven n! = (n-1)! x n and (n+1)! = n! x (n + 1);
Then, (n!)^2 = n! x n! = n! x (n-1)! x n;
And (n+1)!(n-1)! = n! x (n + 1) x (n-1)!;
Finally, [n! x (n-1)! x n] / [n! x (n + 1) x (n-1)!] = (n+1)/n;

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4 years ago

All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is .75,

astra-53 [7]

Answer:

5% probability neither truck is available

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that the first truck is available.

B is the probability that the second truck is available.

We have that:

$A = a + (A \cap B)$

In which a is the probability that the first truck is available and the second one is not $A \cap B$ is the probability that both trucks are available.

By the same logic, we have that:

$B = b + (A \cap B)$

The probability that both trucks are available is .30.

This means that $A \cap B = 0.3$

The probability the second truck is available is .50

This means that $B = 0.5$ . So

$B = b + (A \cap B)$

$0.5 = b + 0.3$

$b = 0.2$

The probability the first truck is available is .75

This means that $A = 0.75$ . So

$A = a + (A \cap B)$

$0.75 = a + 0.3$

$a = 0.45$

The probability that at least one truck is available is:

$A \cup B = a + b + (A \cap B) = 0.45 + 0.2 + 0.3 = 0.95$

The probability that neither truck is available is:

$1 - (A \cup B) = 1 - 0.95 = 0.05$

5% probability neither truck is available

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3 years ago

What is the square root of 1,459,585 and show work

pav-90 [236]

Have fun with that. my brain hurts looking at that question

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Step-by-step explanation:

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3 years ago

Which equation best represents the data shown in the scatter plot below?

ELEN [110]

Answer:

Step-by-step explanation:

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3 years ago