Answer:
15
Step-by-step explanation:
{1,2,3}{1,2,3}?
Answer :C
Step-by-step explanation: For any given function, all first input values (x-values/coordinates) in the relation are considered as the domain values. While the output values (y-values/coordinates) make up the range of the given function.
The mapped relation that has a domain of {1,2,3}, is the mapped relation that has 1, 2, and 3 on the input side on our left.
Therefore, the mapped relation in option C is the answer.
Answer:
To find the coordinates of x, we can use the midpoint formula, which says that the midpoint of a line segment is the average of the x-coordinates and the y-coordinates of the endpoints12. That is:
m=(2x1+x2,2y1+y2)
In this case, we know that m is (−3,−1) and y is (−8,6). We can plug these values into the formula and solve for x:
(−3,−1)−3−6x−1−2−8=(2x+(−8),2−1+6)=2x−8=x−8=2=2−1+6=−1+6=6
Therefore, x is (2,−8). You can check your answer by plugging it back into the midpoint formula and see if you get m.
I hope this helps
Step-by-step explanation:
Answer: Probability that a student is absent given that today is Monday is 0.15.
Step-by-step explanation:
Since we have given that
Probability that it is Monday and that a student is absent P(M∩A) =
Number of school days in a week = 5
Probability that a randomly selected day of the school week is Monday = P(M)=
We need to find the probability that a student is absent given that today is Monday.
We will use "Conditional Probability":
Hence, Probability that a student is absent given that today is Monday is 0.15.
The probability that a student is absent given it's Monday is 0.15 or 15%.
From the problem, it's given that the joint probability of it being Monday and a student being absent is 3/100. The probability that a randomly selected day of the school week is Monday is 1/5, as there are 5 school days in a week (not 55 as stated in the question). Using these probabilities, we can find the conditional probability that a student is absent given that today is Monday, using Bayes' theorem.
To apply Bayes' theorem, we divide the joint probability by the probability of the given condition. This results in (3/100) / (1/5) = (3 / 100) * (5 / 1) = 15/100 = 0.15.
Therefore, the probability that a student is absent given that it's Monday is 0.15 or 15%.
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