What is the approximate area of a regular heptagon with a side length of 4 inches and a distance from the center to a vertex of
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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
The percent error is 25 %
<em><u>Solution:</u></em>
Given that it is estimated that there are 50 students in the seventh grade class, but there are actually 40
<em><u>To find: percent error</u></em>
Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%
<em><u>The formula for percent error is given as:</u></em>
Here, exact value = 40 and approximate value or estimated value = 50
Substituting the values in above formula,
Thus the percent error is 25 %
The general vertex form equation of the parabola is
The Axis of Symmetry is given by
x=h
For the given equation the Equation of the Axis of symmetry for the parabola y=1/2(x-3)^2+5 as x=3.