The opposite of the fraction one third would be negative one third. To be opposite, they must have differing signs. One number should be positive and the other number should be negative. It is different from reciprocal. To be a reciprocal, <span>one number should be the flipped fraction, or upside down version, of the other number.</span>
Answer:

Step-by-step explanation:


Use <em>FOIL</em> method.


Answer:
The perimeter is 22.
Step-by-step explanation:
The perimeter formula (it sometimes varies) is 2(b+h)
b being base (in this example, 6)
h being height (in this example, 5)
So now, with substitution, we are left with:
2(6+5)
Which simplifies down to:
2(11)
22
Answer:
Step-by-step explanation:
1) Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
2) Solution to the problem
The probability in favor of the regulation based on the recent survey is:

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:
First, you must understand the question. what % of 60 is 15, so I would write an equation to express this.
15 = 60x
From there, solve for x, so Divide by 60 on each side. The answer is 1/4, or 25%