Lets say you have . To write it using a rational exponent, you would write .
17. Arc AB has a measure of 90 degrees. This means the angle subtending this arc (angle APB) is a right angle, and so triangle PAB is is a right triangle. The sides of the triangle AP and BP have length equal to the radius of the circle. By the Pythagorean theorem,
so the answer is A.
20. To find the measure of arc AUB, we need to find the measure of the central angle AQB. This angle is part of the quadrilateral AQBP, which is a kite because we're given that PQ and AB are perpendicular.
Arc AVB has measure 60 degrees, so the central angle subtending it (angle APB) also has measure 60 degrees. PQ bisects this angle, so angle APQ has measure 30 degrees.
QA is tangent to circle P, so angle PAQ is a right angle. The sum of the measuers of the interior angles of any triangle is 180 degrees, so
PQ also bisects the angle AQB, so that , and therefore the angle AQB has measure 120 degrees, which in turn is the measure of arc AUB.
Answer:
Based on the claim (the average loss is 20 pounds) the system of hypothesis for this case are:
Null hypothesis
Alternative hypothesis:
Step-by-step explanation:
For thi case we want to test if the "fat-burner" pill present and average loss of 20 pounds in the first month.
And in order to test this hypothesis they have the following sample data:
represent the sample size
the sample average fro the lost weight
Based on the claim (the average loss is 20 pounds) the system of hypothesis for this case are:
Null hypothesis
Alternative hypothesis:
And in order to test the hypothesis we can use the following statistic:
Answer:
3
Step-by-step explanation:
bc i know steps to long
Answer:
1
Step-by-step explanation:
If p = 1/3, you would square it (which is 1/9) then multiply that by 9 :)