Consider the sample space of 36 equally likely outcomes to the experiment in which a pair of dice is rolled. Determine whether the events A and B are mutually exclusive.A: One of the numbers is one.B: The sum is greater than 7.

A. No
B. Yes


Answer: B

Mathematics

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To construct a 30°–60° right triangle given the length of the hypotenuse, it is necessary to construct

(a) a perpendicular to a point on a line. (b) a perpendicular to a line from a point not on the line. (c) an angle bisector. (d) a copy of an angle (e) None of these constructions is required.

Mathematics

The concentration (in milligrams/cubic centimeter) of a certain drug in a patient's body t hr after injection is given by  

?
    interval where  is decreasing.
?
When is the concentration of the drug increasing and when is it decreasing?
?

A. Increasing on 
B. Increasing on  and decreasing on 
C. Decreasing on 
D. The concentration of the drug is constant.

Mathematics

Solve the problem.Economists use what is called a Leffer curve to predict the government revenue for tax rates from 0% to 100%. Economists agree that the end points of the curve generate 0 revenue, but disagree on the tax rate that produces the maximum revenue. Suppose an economist produces this rational function, where R is revenue in millions at a tax rate of x percent. Use a graphing calculator to graph the function. What tax rate produces the maximum revenue? What is the maximum revenue?

A. 28.1%; $470 million B. 31.4%; $464 million C. 26.5%; $469 million D. 29.7%; $467 million

Mathematics

Divide.-40 ÷ (0.08)

A. -50 B. -500 C. -5000 D. -50,000

Mathematics