Answer:
2 c (c^4 + 22 c^3 + 121)
Step-by-step explanation:
Factor the following:
2 c^5 + 44 c^4 + 242 c
Factor 2 c out of 2 c^5 + 44 c^4 + 242 c:
Answer: 2 c (c^4 + 22 c^3 + 121)
Answer:
0.173 probability that she gets exactly three questions correct.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
Seven questions:
This means that 
Each question has four choices.
Abby guesses, which means that 
Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.
This is P(X = 3).


There are many ways to answer this. Here is one answer shown below
AB/WX = BC/XY
On the left side is the ratio of AB over WX. These two sides are the bottom horizontal portions of the triangles. This is a visual indication that they correspond to one another. More concrete proof of this is that AB and WX are the first two letters of the sequences ABC and WXY respectively. The order is very important to help establish pairs like this.
On the right side of that equation above, we have BC and XY as the diagonal sides on the right part of each triangle. They are the last two letters of ABC and WXY respectively, which is a non-visual way to prove these two sides correspond.
It might help to line up ABC over top WXY so you can pick out the corresponding sides. I show this in the attached image below.
Answer: B.) Quantitative data
Step-by-step explanation:
- Quantitative data is basically defined as a data with numbers that measure quantities.
- Category data have different categories or groups in it.
In the given statement, we do not have categories but the count of dogs as "four" in a group.
Hence, the given statement represents "Quantitative data" .
So, the correct option is B) .
The advantage is that you can visibly see the difference in the data. Disadvantage of line plots would be that not as appealing.