(29 PTS) Explain how the Quotient of Powers Property was used to simplify this expression. 3^4/9 = 3^2
2 answers:
Answer:
B. By simplifying 9 to to make both powers base three and subtracting the exponents
Step-by-step explanation:
When you have a division the quotient of powers property states that the exponents should be substracted, and by simplifying 9 to you end up with an equation like this:
=
Then you just have to substract the exponent from the denominator from the numerator´s exponent, which would be:
4-2=2
and the resultant equation would be:
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Answer:
There is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men
Step-by-step explanation:
The population 10 year cumulative incidence of prostrate cancer among 70 year old men, p = 0.06
The number of 50 year old men in the sample, n = 260 men
The number of the sampled men that developed prostrate cancer = 13 men
The significance level, α = 0.05
Let the null hypothesis, H₀: = p
The alternative hypothesis, Hₐ: ≠ p
The standard score, = 1.96
The test statistic, 'z', is given as follows;
= 13/260 = 0.05
q = 1 - p = 1 - 0.06 = 0.94
From the z-table, we find the p-value as follows;
P(z ≈ -0.68) = 0.24825
Therefore, given that the p-value, 0.24825 is larger than the significance level, α/2 = 0.025, we fail to reject the null hypothesis, and therefore, there is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men