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2 years ago

The average of m, n, and -1 is 0. What is the value of m+n?

Mathematics

1 answer:

Oxana [17]2 years ago

5 0

Answer: 1

==========================

Explanation:

To average a bunch of numbers, we add them up and divide by how many numbers there are. In this case, we'll divide by 3 since there are 3 numbers.

Add up the values: m+n+(-1) = m+n-1

Divide by 3: (m+n-1)/3

Set this equal to 0 since we're told the average is 0: (m+n-1)/3 = 0

Now let's isolate m+n. It might help to replace "m+n" with another variable, say P to get (P-1)/3 = 0.

Solve for P

(P-1)/3 = 0

P-1 = 3*0 .... multiply both sides by 3

P-1 = 0

P = 1 ... add 1 to both sides

m+n = 1 .... replace P with m+n

So that's why the answer is 1

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2 years ago

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3 years ago

Given that a randomly chosen quadrilateral has four right angles, what is the probability that the quadrilateral also has four e

Alexxx [7]

Answer:

0.25

Step-by-step explanation:

This is the question on conditional probability

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3 years ago

Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.

Ne4ueva [31]

The given geometric series as shown in the question is seen to; Be converging with its' sum as 81

<h3>How to identify a converging or diverging series?</h3>

We are given the geometric series;

27 + 18 + 12 + 8 + ...

Now, we see that;

First term; a₀ = 27

Second Term; a₁ = 2(27/3)

Third term; a₂ = 2²(27/3²)

Fourth term; a₃ = 2³(27/3³)

Thus, the formula is;

2ⁿ(27/3ⁿ)

Applying limits at infinity gives;

2^(∞) * (27/3^(∞)) = 0

Since the terms of the series tend to zero, we can affirm that the series converges.

The sum of an infinite converging series is:

S_n = a/(1 - r)

S_n = 27/(1 - (2/3)

S_n = 81

Read more about converging or diverging series at; brainly.com/question/15415793

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1 year ago

20 This spinner will be spun twice. What is the probability of

natali 33 [55]

Answer: the probability is 0.25

Step-by-step explanation:

We have 10 numbers:

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1, 3, 5, 7, 9

So we have 5 odd numbers.

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3 years ago