Answer:
Step-by-step explanation:
Note that the four input values, {3,4,6,11}, are all unique. Each has exactly one y value associated with it. This is an important criterion when we're deciding whether a relation is a function or not.
Suppose that we added one more input and its associated output:
{3,4,4,6,11}
If it happened that different values of y were associated with the two 4's, then we know immediatel that this relation is not a function.
Answer: x = -3, -1/3, 1/2, 3
Step-by-step explanation:
Answer:
- 1/243 ≈ 0.004 (which is a low probability)
Explanation:
The event landing on a three or four on a rolling is independent of the event of landing on a three or four on any other rolling.
Thus, for independent events you calculate the joint probability as the product of the probabilities of each event:
- P(A and B and C and D and E) = P(A) × P(B) × P(C) × P(D) × P(E)
Here, P(A) = P(B) = P(C) = P(D) = P(E) = probability of landing on a three or four.
Now to calculate the probability of landing on a three or four, you follow this reasoning:
- Positive outcomes = three or four
- Number of positive outcomes = 2
- Possible outcomes = one, two, three, four, five, or six
- Number of possible outcomes = 6
- Probability = numer of positive outcomes / numer of possible outcomes
Finally, probability of landing on a three or four on all five rolls: (1/3)⁵ = 1/243 ≈ 0.004 ← answer
Answer:
Step-by-step explanation:
We are given;
A geometric sequence;
-2,10,-50
Required to determine the nth term
The nth term in a geometric sequence is given by the formula;
where 
is the first term and r is the common ratio;
In this case;
r = 10 ÷ -2
= -5
Therefore;
To get the nth term in the given geometric sequence we use;
Thus, the nth term is
