Answer:
Degree of freedom = 63
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 64
Sample mean = 1400
Sample standard deviation = 240
We need to make a 95% confidence interval.
We use the t-statistic for the same.
Degree of freedom:
- It is the maximum number of logically independent values that have the freedom to vary, in the data sample.
Degree of freedom for reading the critical values of t-statistic is
Thus, the degree of freedom is 63.
Answer:
80
Step-by-step explanation:
320/4=80
A function associates x and y values. The graph of the function is formed by all the points such that x and y are actually associated, i.e. y=f(x).
So, if you choose x=4, you can see that the correspondant point on the graph has a y coordinate that is somewhere between 3 and 4 - much closer to 4 actually.
So, an estimated value could be around 3.75
<span>65 = number of different arrangements of 2 and 3 card pages such that the total number of card slots equals 18.
416,154,290,872,320,000 = number of different ways of arranging 18 cards on the above 65 different arrangements of page sizes.
=====
This is a rather badly worded question in that some assumptions aren't mentioned. The assumptions being:
1. The card's are not interchangeable. So number of possible permutations of the 18 cards is 18!.
2. That all of the pages must be filled.
Since the least common multiple of 2 and 3 is 6, that means that 2 pages of 3 cards can only be interchanged with 3 pages of 2 cards. So with that said, we have the following configurations.
6x3 card pages. Only 1 possible configuration.
4x3 cards and 3x2 cards. These pages can be arranged in 7!/4!3! = 35 different ways.
2x3 cards and 6x2 cards. These pages can be arranged in 8!/2!6! = 28 ways
9x2 card pages. These can only be arranged in 1 way.
So the total number of possible pages and the orders in which that they can be arranged is 1+35+28+1 = 65 possible combinations.
Now for each of those 65 possible ways of placing 2 and 3 card pages such that the total number of card spaces is 18 has to be multiplied by the number of possible ways to arrange 18 cards which is 18! = 6402373705728000. So the total amount of arranging those cards is
6402373705728000 * 65 = 416,154,290,872,320,000</span>
Answer:
: Arrow hits the ground after 4 seconds.
Step-by-step explanation:
I assume you are going to ask when the arrow hits the ground, right? If so, follow these steps!
We can factor/distribute to solve this...
If this is true, then that means that...
So the solution would be
In this case, we want to use 4.