Answer:
65
Step-by-step explanation:
A. The relation is a function if one x-value goes out to one <em />y-value. We can check the graph for that. Does any x-value come out to more than one y-value? No, so, therefore, yes, the relation is a function.
B. The domain is all the x-values shown in the relation. Therefore, it is Domain:{-4, -3, -2, 0, 2, 3}
C. Like the domain question, it is the y-values shown. Therefore, the range is Range: {2, 0, -1, 2, -3, 3}
D. The value of y is at x=2 is the y-value of the point that it shows in the relation when x = 2. We find the point where x=2 (the fifth one from the left), and the y-value there is -3
Step-by-step explanation:
The above sequence is a geometric sequence
For an nth term in a geometric sequence
where
n is the number of terms
a is the first term
r is the common ratio
From the question
a = 5
r = 10/5 = 2
Therefore the explicit formula for this sequence is
Hope this helps you
Answer:
Probability that they are the youngest is 0.000549
Step-by-step explanation:
Given
Number of students = 16
Selected students = 4
Let n = number of students
n = 16
Let r = selections
r = 4
We're interested in selecting 4 students out of 16; the keyword, selection means we're dealing with combination because order is not important.
So,
Solving for nCr
nCr = n!/((n-r)!r!)
16C4 = 16!/((16-4)!4!)
16C4 = 16!/(12!4!)
16C4 = 16 * 15 * 14 * 13 * 12!/(12!4!)
16C4 = 16 * 15 * 14 * 13 / 4 * 3 * 2 * 1
16C4 = 1820 ways
There are 1820 ways of selecting 4 students from a total of 1820.
Only one of these ways can the four of them be the youngest.
So, probability = 1/1820
Probability = 0.0005494506
Probability that they are the youngest is 0.000549 (approximately)
