A pharmaceutical company collects data on the side effects participants report for a drug it is testing. The company finds that
2 answers:
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Answer:
The diagonals of the polygon ABCD bisect each other
Step-by-step explanation:
The given vertices of the polygon are;
A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1)
Given that the vertices of the polygon in clockwise order from the top left corner are ABCD, we have the diagonals as AC and DB
By the midpoint formula, we have;
Where;
= The midpoint coordinates
Therefore, the midpoint of diagonal AC =
The midpoint of diagonal DB =
Therefore, given that the coordinates of the location of the midpoint of the diagonals AC and DB is the same, the diagonals bisect each other
Each diagonal passes through the midpoint of the other diagonal.
Answer:
The minimum sample size that can be taken is of 14 dogs.
Step-by-step explanation:
The formula for calculating the minimum sample size to estimate a population mean is given by:
The <u>first step</u> is obtaining the values we're going to use to replace in the formula.
Since we want to be 95% confident, .
Therefore we look for the critical value .
Then we calculate the variance:
And we have that:
<u>Now</u> we replace in the formula with the values we've just obtained:
Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.