Solve the problem.Suppose that a continuous random variable has a joint probability density function given byf(x, y) = y2 - 2y + xy - x + , 1 ? x ? 5, 0 ? y ? 1 Find the probability that a point is in the region bounded by 2 ? x ? 5 and 0 ? y ? 1.

A.
B.
C.
D.


Answer: A

Mathematics

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Solve the problem.Newton's Law of Cooling states that if a body with temperature T1 is placed in surroundings with temperature T0 different from T1, then the body will either cool or warm to temperature T(t) after time t, in minutes, where A cup of coffee with temperature 103°F is placed in a freezer with temperature 0°F. After 5 minutes, the temperature of the coffee is 67.3°F. What will its temperature be 18 minutes after it is placed in the freezer? Round your answer to the nearest degree.

A. 22°F B. 21°F C. 17°F D. 19°F

Mathematics

Determine if the given value of the variable is a solution to the equation.x(2x + 7) = 60; 4

A. not a solution B. solution

Mathematics

Use the accompanying graph of a particle moving on a coordinate line with velocity v = f(t) in ft/sec at time t seconds. The axes are marked off at one-unit intervals. Use these terms to describe the motion state: moving forward/backward, increasing/decreasing speed, and resting. Recall that speed = Give the interval(s) when the particle is at rest.

A. (11, 19) B. (8, 21) C. The particle is never at rest. D. (8, 11), (19, 21), and (25, 26)

Mathematics

Solve the problem.The following graph shows the private, public and total national school enrollment for students for select years from 1980 through 2010.1980199020002010Yeari) How is the graph for total school enrollment, T, determined from the graph of the private enrollment, r, and the public enrollment, u?ii) During which 10-year period did the total number of students enrolled increase the least?iii) During which 10-year period did the total number of students enrolled increase the most?

A.

i)T is the sum of r and u.
ii) 2000-2010
iii) 1980-1990
B.
i)T is the difference of r and u.
ii) 1990 - 1990
iii) 2000-2010
C.
i)T is the sum of r and u.
ii) 1980 - 1990
iii) 2000-2010
D.
i)T is the sum of r and u.
ii) 1980 - 1990
iii) 1990-2000

Mathematics