Determine whether any of the listed candidates has a majority.Four candidates running for congress receive votes as follows:Alberts: 50,787, Brown: 13,851, Cassimatis: 36,936, D'Amico: 32,319

A. No
B. Yes


Answer: A

Mathematics

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A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the given situation.Carter Motor Company claims that its new sedan, the Libra, will average better than 22 miles per gallon, which is the gas mileage of its competitor. The hypotheses are as follows:Null hypothesis: mean gas mileage = 23 mpg  Alternative hypothesis: mean gas mileage > 23 mpg

A. Rejecting the null hypothesis means there is evidence that the mean gas mileage is not equal to 23 mpg.  Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean gas mileage is greater than 23 mpg. B. Rejecting the null hypothesis means there is evidence that the mean gas mileage is greater than 23 mpg.  Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean gas mileage is greater than 23 mpg. C. Rejecting the null hypothesis means there is evidence that the mean gas mileage is greater than 23 mpg.  Accepting the null hypothesis means there is evidence to conclude that the mean gas mileage is equal to 23 mpg. D. Rejecting the null hypothesis means there is evidence that the mean gas mileage is greater than 23 mpg.  Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean gas mileage is equal to 23 mpg.

Mathematics

Perform the indicated operation and reduce to lowest terms.38 - 25

A. 11
B. 12
C. 12
D. 13

Mathematics

Find the measure of the dihedral angle indicated.The figure shown is a right prism whose bases are regular nonagons. Find the measure of the dihedral angle between adjacent lateral faces.

A. 40° B. 140° C. 144° D. 90°

Mathematics

Write equations of the horizontal and the vertical lines that pass through the given point.(-2, -4)

A. horizontal: y = -4x + 0;
vertical: x = -2y + 0
B. horizontal: y = - x + 0;
vertical: - y = x + 0
C. horizontal: x = -2;
vertical; y = -4
D. horizontal: y = -4;
vertical: x = -2

Mathematics