Otto is told the average low temperature in January is 16.1∘C cooler than the average low temperature in November. What equation
1 answer:
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Complete question:
Calculate each probability given that P(A) = 0.2, P(B) = 0.8, and A & B are independent.
a) compute P(A and B)
b) If P(A|B) = 0.7, compute P(A and B).
Answer:
(a) P(A and B) = 0.16
(b) P(A and B) = 0.56
Step-by-step explanation:
Two events are independent if occurrence of one event does not affect possibility of occurrence of another.
(a) if A and B are independent, then P(A and B) = P(A) x P(B)
= 0.2 x 0.8
= 0.16
(b) If P(A|B) = 0.7, compute P(A and B)
Considering the notations of independent events,
= 0.7 x 0.8
= 0.56
The solutions to the system of equations is
Explanation:
Given the system of equations are and
We need to determine the solution to the system of equations.
Let us plot the equation in the graph.
When , we get,
When , we get,
Thus, the coordinates are (0,6) and (3,0)
Let us plot the equation in the graph.
When , we get,
When , we get,
Thus, the coordinates are (0,-7) and (5,0)
The solution to the system of equations is the point of intersection of the two lines.
Thus, the lines intersect at the point
The approximate values of the point is
Thus, the solution is
Answer:
= 4n + 11
Step-by-step explanation:
There is a common difference between consecutive terms, that is
19 - 15 = 23 - 19 = 4
This indicates the sequence is arithmetic with explicit rule
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 15 and d = 4 , then
= 15 + 4(n - 1) = 15 + 4n - 4 = 4n + 11