Answer: The probability that he pianist will be a boy and the alternate will be a girl is 30%.
Explanation:
Since we have given that
Number of boys are auditioning to play the piano for a school production = 2
Number of girls are auditioning to play the piano for a school production = 3
Total number of candidates is given by
Now,
Let Event A denotes pianist will be a boy.
Let Event B denotes alternate will be girl.
Since Event A and B are independent events so,
So,
Probability that the pianist will be a boy and the alternate will be a girl is given by
Now, we have to change it into percent ,
Hence ,the probability that he pianist will be a boy and the alternate will be a girl is 30%.
The probability helps us to know the chances of an event occurring. The probability that the pianist will be a boy and the alternate will be a girl is 0.3.
The probability helps us to know the chances of an event occurring.
As there are 2 boys and 3 girls. And out of this total of 5 people, we need to know the probability of a boy being selected first. Therefore, the probability can be written as,
Now since one boy is already selected the number of choices will reduce to 4, therefore, the probability of selecting a girl next can be written as,
Thus, the probability that the pianist will be a boy and the alternate will be a girl can be written as,
Hence, the probability that the pianist will be a boy and the alternate will be a girl is 0.3.
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b. False
Answer:
The Answer is False
Base = 12cm
The axiom applied in all the provided equations is the Commutative Property, which is a fundamental property of addition and multiplication in mathematics, stating that the order of operands can be changed without altering the outcome.
The axiom used in the provided equations is the Commutative Property of Addition and the Commutative Property of Multiplication.
a. The equation 3 + 5 = 5 + 3 represents the Commutative Property of Addition, which states that the order in which numbers are added does not affect the sum. In this case, it shows that changing the order of the addends does not change the result.
b. The equation 3x^2 + 5y^2 = 5y^2 + 3x^2 demonstrates the Commutative Property of Addition for algebraic terms. It shows that changing the order of the terms in an addition operation does not alter the result.
c. In the equation Zxy + 5 - 3cd = Zxy - 3cd + 5, the Commutative Property of Addition is evident, illustrating that the order of the terms in an addition operation can be rearranged without changing the result.
d. The equation (5c + 3x) + Zy = 5c(3x + Zy) demonstrates the Commutative Property of Multiplication. It shows that changing the order of factors in a multiplication operation does not affect the product.
Learn more about Commutative Property here:
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Answer:
−7i
Step-by-step explanation: