Answer:
(a) Is not possible
(b) It is possible
(c) It is possible
(d) Is NOT possible.
Step-by-step explanation:
(a)
Is not possible, notice that for any function
such that

you would have that

And for, lets say -3,3 you have that
therefore is not possible to find a function that is one to one.
(b)
It is possible. Take the following function
since
is periodic it will take positive and negative numbers and if you multiply by
each period will become bigger and bigger.
(c)
It is possible. Take the function
Then
and
is one to one.
(d)
It is NOT possible because
and that will always be positive.
<em>Use the Quadratic Formula </em>
x = -4 + 2 √11i/6, -4 - 2√11i/6
<em>Simplify solutions </em>
x = - 2 - √11i/3, - 2 + √11i/3
Answer:
Adults =58, Students=92
Step-by-step explanation:
For each of these problems, all you need to do is isolate the variable. I’ll do the first few to help you out :)
32) 7 = -12 + e
Add 12 to both sides to isolate e.
19 = e
35) (r + 4) + 2 = 1
Subtract 2 from both sides.
r + 4 = -1
Subtract 4 from both sides to isolate r.
r = -5
38) -2 + (1 + p) = 5
Add 2 to both sides.
1 + p = 7
Subtract 1 from both sides to isolate p.
p = 6.
So essentially, all you need to do is add and subtract from each side to isolate the variable given in each problem. :)
Extra tip: In order to get rid of a number on one side (to isolate a variable), you must perform the opposite operation. For example, -2 + x = 1. In order to isolate x, add 2 to the left side to get rid of it, as well as adding it onto the right side so that it is not erased completely to get x=3)
Answer:

And we can find the individual probability like this:

And replacing we got:

Step-by-step explanation:
Assuming the following question: With the salary cap in the NFL, it is said that on any given Sunday any team could beat any other team. If we assume every week of the 16 week season a team has a 50% chance of winning, what is the probability that a team will have at least 1 win?
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".
Solution to the problem
Let X the random variable of interest, 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 this probability:

And using the complement rule we got:

And we can find the individual probability like this:

And replacing we got:
