Find the valué of (3x10^4)+(2x10^2)+(4x10)
2 answers:
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Answer:
The critical value for this hypothesis test is 6.571.
Step-by-step explanation:
In this case the professor wants to determine whether the average number of minutes that a student needs to complete a statistics exam has a standard deviation that is less than 5.0 minutes.
Then the variance will be,
The hypothesis to determine whether the population variance is less than 25.0 minutes or not, is:
<em>H</em>₀: The population variance is not less than 25.0 minutes, i.e. <em>σ²</em> = 25.
<em>Hₐ</em>: The population variance is less than 25.0 minutes, i.e. <em>σ²</em> < 25.
The test statistics is:
The decision rule is:
If the calculated value of the test statistic is less than the critical value, then the null hypothesis will be rejected.
Compute the critical value as follows:
*Use a chi-square table.
Thus, the critical value for this hypothesis test is 6.571.
Answer:
Part 1)
Part 2)
Part 3)
Step-by-step explanation:
Part 1) Find the measure of angle ECF
we know that
CF is tangent at point C
so
the radius EC is perpendicular to the tangent CF
therefore
Part 2) Find the measure of angle AKB
we know that
The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite
substitute the values
Part 3) Find the measure of angle ACF
we know that
The inscribed angle is half that of the arc it comprises
substitute the values