The tables represent the functions f(x) and g(x).
1 answer:
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a) Probability of both being males is 27%
b) Probability of both being females is 23%
c) Probability of having exactly one male and one female is 50%
Step-by-step explanation:
a)
The probability that the birth is a male can be written as
(which corresponds to 52%)
While the probability that the birth is a female can be written as
(which corresponds to 48%)
Here we want to calculate the probability that over 2 births, both are male. Since the two births are two independent events (the probability of the 2nd to be a male does not depend on the fact that the 1st one is a male), then the probability of both being males is given by the product of the individual probabilities:
And substituting, we find
So, 27%.
b)
In this case, we want to find the probability that both children are female, so the probability
As in the previous case, the probability of the 2nd child to be a female is independent from whether the 1st one is a male or a female: therefore, we can apply the rule for independent events, and this means that the probability that both children are females is the product of the individual probability of a child being a female:
And substituting
We find:
Which means 23%.
c)
In this case, we want to find the probability they have exactly one male and exactly one female child. This is given by the sum of two probabilities:
- The probability that 1st child is a male and 2nd child is a female, namely
- The probability that 1st child is a female and 2nd child is a male, namely
So, this probability is
We have:
Therefore, this probability is
So, 50%.
Learn more about probabilities:
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Answer:
The correct option is the second option;
a. Division property of equality
b. Symmetric property of congruency
c. Multiplication property of equality
Step-by-step explanation:
a. For the equation in part a., we have;
6·a = 30
Therefore;
6·a/6 = 30/6
a = 5
Which is of the form, if a = b then a ÷ c = b ÷ c, which is the division property of equality
b. For the relationship in part b., we have;
∠ABC ≅ ∠LMN
∠LMN ≅ ∠ABC
The above relationship is of the form, if a ≅ b then b ≅ a, which is the symmetric property of congruency
c. For the equation in part c., we have;
Multiply both sides by 3, to get;
Cancel like terms on the left hand side of the equation, to get;
2·(x - 6) = 24
Which is of the form, if a = c, then a × c = b × c which is the multiplication property of equality
Answer:
(A)
Step-by-step explanation:
Given a set with "n" number of elements, the collection of all subsets of the set is referred to as the Power set of the given set.
To find the number of possible subsets of any set, we use the formula:
Take for example the set: A={2,3,4)
A has 3 elements, therefore n=3
The number of possible subsets of A is: