Find the indicated probability. Leave your answer in fractional form unless otherwise indicated.If a balanced six-sided die is rolled 40 times and 2 comes up every time, what is the probability that 2 comes up on the next roll?

A. 1
B.
C.
D.


Answer: C

Mathematics

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Consider the differential equation. A detailed direction field is not needed. Find the solutions that are constant, for all  (the equilibrium solutions). In what regions are solutions increasing? Decreasing?y'(t) = (y - 3)(y + 9)

A. y = 3, y = -9; increasing for -9 < y < 3; decreasing for y < -9 or y > 3 B. y = -3, y = 9; increasing for -9 < y < 3; decreasing for y < -9 or y > 3 C. y = -3, y = 9; increasing for y < -9 or y > 3; decreasing for -9 < y < 3 D. y = 3, y = -9; increasing for y < -9 or y > 3; decreasing for -9 < y < 3

Mathematics

Solve the problem.Acme Industries pays at the time-and-a-half rate for all time worked over 8 hours in any one day no matter how many hours are worked in a week. Susan Jones, an employee of Acme Industries, makes $14.32 an hour as her regular rate of pay. Last week she worked 9 hours on Monday, 6.5 hours on Tuesday, 10.25 hours on Wednesday, 5 hours on Thursday, and 12 hours on Friday. What were her gross earnings for the week?

A. $664.09 B. $615.09 C. $632.09 D. $737.09

Mathematics

Estimate the sum or difference by rounding each number to the nearest thousand.977727097798

A. 27,600 B. 28,000 C. 27,500 D. 27,000

Mathematics

Multiply.2

A. 9x4 - 12x2y3 - 16y6 B. 9x4 + 16y6 C. 9x4 - 24x2y3 + 16y6 D. 9x4 - 24x2y3 + 16b2

Mathematics