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galina1969 [7]
3 years ago
9

Why is the product of negative reciprocals always -1?

Mathematics
1 answer:
erik [133]3 years ago
3 0

Answer:

please check the explanation.

Step-by-step explanation:

Let suppose we have a number = n  

  • n≠0    

The negative reciprocal of 'n' = -1/n

Taking the product of 'n' and its negative reciprocal '-1/n':

n\left(-\frac{1}{n}\right)

remove parentheses: (-a) = -a

=-n\frac{1}{n}

\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}

=-\frac{1\times \:n}{n}

\mathrm{Cancel\:the\:common\:factor:}\:n

=-1

Canceling the common factor (the number itself) will bring -1.

It proves that the multiplication of any number and its negative reciprocal will always yield -1.

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Exactly 32% of the students in a school play a sport. Fifty students are randomly selected to determine the probability that, at
faltersainse [42]

A binomial probability density function should be used to represent the probability

<h3>How to determine the type of probability density?</h3>

The given parameters are:

  • Proportion that plays sport, p = 32%
  • Number of students selected, p = 50
  • The probability, P = (x ≤ 15)

The proportion that plays sport indicates that

68% of the students do not play sport

So, we have two events, which are

  • Play sport
  • Do not play sport

When there are two possible events, then the binomial probability density function should be used

Read more about binomial probability density at:

brainly.com/question/15246027

#SPJ1

8 0
2 years ago
Using the two-way table, what percentage of the students that do not like camping like traveling out of state? Round to the
Afina-wow [57]

Answer:

In Grade 8, 17% of students like running.

Step-by-step explanation:

Let's do process of elimination.

For the first choice, we have that In Grade 8, 14 students liked swimming. This is wrong because based on the two-way frequency table, we are dealing with decimals, which can written as percentages. Also, you can't have 0.14 of a person.

Therefore, the first choice is incorrect.

Now for the third choice. The statement is that in Grade 9, 31 percent of students liked volleyball. Okay, so we have a percentage this time. That is a good thing, but we have to know what this percentage means. This answer is incorrect because 31 percent goes with the column of running, not volleyball. It would also be a marginal frequency as well. The 31 percent actually means that 31 percent of all students in both grades liked running. In other words, a total of 31 percent of students in both 8th and 9th grade liked running.

Therefore, the third choice is incorrect.

For the last choice. The statement is 22 students like volleyball. Just like the first choice, we are dealing with percentages, not people.

Therefore, the last choice is incorrect.

Now for the second choice. We are given that in Grade 8, 17 percent of students liked running. We have a percentage, so that is good. This choice is correct because if you were to go to Grade 8 and running. Draw some lines down. You do get to 17 percent. This 17 percent means that 17 percent of students did actually like running. It also means that out of all 8th graders, 17 percent enjoyed running.

Therefore, the second choice is correct.

Hope this helps! I hope you enjoy the rest of your day.

6 0
3 years ago
3 quarters, 3 dimes, five nickels, and one penny as a decimal number
zlopas [31]
The answer is 1.26
3 0
2 years ago
Given f(x) = 3x^2 - 6x + 2 find f(3)<br><br> HELP PLEASE ‼️‼️‼️
SSSSS [86.1K]

Answer: 47

Step-by-step explanation:

You simplify it giving you 47

8 0
2 years ago
Read 2 more answers
GEOMETRY! Please help!
tatiyna

Answer: perimeter = 62

Step-by-step explanation:

To determine the length of the unknown sides of the triangle, we would apply the sine rule which is expressed as

a/SinA = b/SinB = c/SinC

Therefore

AB/Sin 40 = 19.5/Sin 49

ABSin49 = 19.5Sin40 = 19.5 × 0.64

0.755AB = 12.48

AB = 12.48/0.755

AB = 16.5

The sum of the angles in a triangle is 180°. Therefore,

A = 180 - (40 + 49) = 91°

BC/Sin 91 = 19.5/Sin 49

BCSin49 = 19.5Sin91 = 19.5 × 0.9998

0.755BC = 19.5

BC = 19.5/0.755

BC = 25.8

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = a + b + c

Where

a, b and c represents the length of each side of the triangle.

Perimeter of triangle = 25.8 + 16.5 + 19.5 = 62

6 0
3 years ago
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