Answer:
27720
Step-by-step explanation:
Denote by
the binomial coefficient "n choose k". Given k<n,
is the number of ways of choosing k elements from a set of n elements (the order in which we choose the elements doesn't matter).
First, we can form the group of 3 students. This is done by choosing 3 students from the class of 12 students, so it can be done in
ways. We can't repeat students, then we must form the other groups from the remaining 9 students. If we next form the group of 4 students, there are
ways of choosing it. Now, there remain 5 students without a group, so they have to conform the group of 5 and this can only be done in 1 way. By the multiplication principle, the number of ways of forming the groups is
Answer: Aaron gets paid $19.10 per hour.
When you divide 152.80 by 8, you get 19.1 simplified. But in this case, it is in money so you need to put a 0 at the end.
25 student 100%
12 dunking booth X%
X=12•100/25
X=48%
1000 students 100%
X students 48%
X=48•1000/100
X=480 students would say that the dunking booth was their favorite activity
Answer:
Step-by-step explanation:
If two line 'm' and 'n' are parallel and a transversal line 't' i intersecting these lines at two distinct points,
Sum of interior consecutive angles should be 180°.
(Property of the angles formed between parallel lines and a transversal line)
Therefore, 114° + 64° = 180°
178° = 180°
Which is not true.
Therefore, lines 'm' and 'n' are not the parallel lines.
Answer:
18
Step-by-step explanation:
In the linear regression equation y=a+bx, slope coefficient b represents average unit increases in y variable due to unit increase in x variable.
In the given equation ŷ = 84 + 18x, b=18 represents average unit increases in gas used due to unit increase in degree day.
Hence,on average, gas used increase by 18 for each additional degree-day.