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Natali5045456 [20]
3 years ago
11

1. Explain why n root a^n= |a| when n is even, but not when n is odd.

Mathematics
1 answer:
kogti [31]3 years ago
8 0

Step-by-step explanation:

In the expression a^n, for integer values of n greater than 1, there are n factors. For example, a^2 = a * 2 (2 factors), a^3 = a * a * a (3 factors), etc.

For a non-negative value of a, a^n is non-negative for all values of n.

If a is negative, and n is even, then a^n is non-negative.

If a is negative, and n is odd, then a^n is negative.

|a| is non-negative for all values of a.

sqrt_n(a^n) is negative for negative a and odd n, but |a| is always non-negative, so sqrtn(a^n) cannot equal |a| for odd n.

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Answer:

Pr = 0.059049

Step-by-step explanation:

Given

p = 0.9 --- probability of scoring

Required

Probability that his first miss is his 6th shot

Let q represent the event that he did not score.

Using complement rule:

q = 1 - p = 1 - 0.9 = 0.1

The event that his first miss is his 6th is represented as:

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So, the probability is:

Pr = p^5 * q

Pr = 0.9^5 * 0.1

Pr = 0.059049

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3 years ago
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Answer:

<$100 / greater than $100

Step-by-step explanation:

30,000/300=100

If you spent $100 per spin and won 1 out of 300 games, there would be no net gain.

If you spent anything more than $100, then you would lose more money than you gained if you won 1 out of 300 games.

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3 years ago
Solve for 19= -3a -5
Vesnalui [34]

Answer:

a = -8

Step-by-step explanation:

19 = -3a - 5

Add 5 to both sides.

24 = -3a

Divide both sides by -3.

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Step-by-step explanation:

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Denzel has a new puppy that weighs 12 pounds. The vet says that the puppy is now at about 20% of its adult weight. What will be
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Answer:

60 pounds

Step-by-step explanation:

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