Simplify 15y^-7/18y^-3 Assume y≠0
2 answers:
The first step for simplifying the above fraction is to divide the terms with the same base by subtracting their exponents.
Remember that when there is a "-" sign in front of the parenthesis,, we need to change the sign of each term in the parenthesis. This changes the fraction to the following:
Calculate the sum of the exponents.
Lastly,, reduce the fraction with 3 to find your final answer.
Let me know if you have any further questions.
:)
Remember that when there is a "-" sign in front of the parenthesis,, we need to change the sign of each term in the parenthesis. This changes the fraction to the following:
Calculate the sum of the exponents.
Lastly,, reduce the fraction with 3 to find your final answer.
Let me know if you have any further questions.
:)
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Answer:
a) A. The population must be normally distributed
b) P(X < 68.2) = 0.7967
c) P(X ≥ 65.6) = 0.3745
Step-by-step explanation:
a) The population is normally distributed having a mean () = 64 and a standard deviation (
) =
b) P(X < 68.2)
First me need to calculate the z score (z). This is given by the equation:
but μ=64 and σ=19 and n=14,
and
Therefore:
From z table, P(X < 68.2) = P(z < 0.83) = 0.7967
P(X < 68.2) = 0.7967
c) P(X ≥ 65.6)
First me need to calculate the z score (z). This is given by the equation:
Therefore:
From z table, P(X ≥ 65.6) = P(z ≥ 0.32) = 1 - P(z < 0.32) = 1 - 0.6255 = 0.3745
P(X ≥ 65.6) = 0.3745
P(X < 68.2) = 0.7967