Distribute the 3 to the parentheses. Q=3r+3/r
Next multiply both sides by r to get rid of the division sign.
Qr=3r+3
Subtract 3r on both sides and you get Qr-3r=3
Since both numbers have an r in it, we can factor out the r
r(Q-3)=3
Then we divide Q-3 on both sides
r=3 / (Q-3)
This is a fairly easy question. So I'll break it down and give you a description of the terms.
A repeating decimal (like 1/3, 3.333etc is often written as 3.3 with a dot above the second 3 or a ... or an etc) can be anything you chose, 0.7222etc...., 0.3555etc.... Any number which goes on forever. Your choice! A terminating decimal does not go on forever, like 0.25 or 0.43353. It can be as long as you like but it has to end at some point.
Inequalities are just a question, which value is bigger? You use a < or > to show the relationship, x<y means x is smaller than y. Same for y>x.
So just choose two numbers, 0.333... and... let's say, 0.72. 0.72 is larger so we write 0.333...<0.72
Done!
We need to define our outcomes and events.
Finding the probability<span> of each event occurring
separately, and then multiplying the probabilities is the step to <span>finding
the probability</span> of two
independent events that occur in
sequence.
</span>
<span>
To solve this problem, we take note of this:</span>
The roll of the two dice are denoted by the pair
(I, j) ∈ S={ (1, 1),(1, 2),..., (6,6) }
Each pair is an outcome. There are 36 pairs and each has
probability 1/36. The event “doubles” is { (1, 1),(2, 2)(6, 6) } has
probability p= 6/36 = 1/6. If we define ”doubles” as a successful roll, the
number of rolls N until we observe doubles is a geometric (p) random variable
and has expected value E[N] = 1/p = 6.
Answer:
5
Step-by-step explanation:
cubes means 3. You do 5 to the 3rd power and you get 125