Answer:
2 x 2 x 11
Step-by-step explanation:
Note that prime factors are numbers that cannot be reduced anymore, and, when multiplied together, would equal the original number.
44/2 = 22/2 = 11
2 x 2 x 11 = 44 ∴ 2 , 2, 11 are your answers.
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Given:
The graph of a function is given.
To find:
The range of the graph.
Solution:
We know that, the domain is the set of input values and range is the set of output values.
In a graph, domain is represented by the x-axis and range is represented by the y-axis.
From the given graph it is clear that there is an open circle at (-8,-8) and a closed circle at (3,4). It means the function is not defined at (-8,-8) but defined for (3,4).
The graph of the function is defined over the interval
. So, the domain is (-8,3].
The values of the function lie in the interval
. So, the range is (-8,4].
Therefore, the range of the function are all real values over the interval (-8,4].
Answer:
0.6 because its 58% chance which is 0.58 which rounds to 0.6
Step-by-step explanation:
Answer:
P(A∣D) = 0.667
Step-by-step explanation:
We are given;
P(A) = 3P(B)
P(D|A) = 0.03
P(D|B) = 0.045
Now, we want to find P(A∣D) which is the posterior probability that a computer comes from factory A when given that it is defective.
Using Bayes' Rule and Law of Total Probability, we will get;
P(A∣D) = [P(A) * P(D|A)]/[(P(A) * P(D|A)) + (P(B) * P(D|B))]
Plugging in the relevant values, we have;
P(A∣D) = [3P(B) * 0.03]/[(3P(B) * 0.03) + (P(B) * 0.045)]
P(A∣D) = [P(B)/P(B)] [0.09]/[0.09 + 0.045]
P(B) will cancel out to give;
P(A∣D) = 0.09/0.135
P(A∣D) = 0.667