Find the indicated probability. Round your answer to 6 decimal places when necessary.In January in a certain city the unconditional probability of rain on any given day of the month is 0.400. But the probability of rain on a day that follows a rainy day is 0.600 and the probability of rain on a day following a nonrainy day is 0.250. Find the probability that January 1st and January 2nd are rainy and that January 3rd and 4th are not rainy given that December 31st was clear all day.

A. 0.072
B. 0.024
C. 0.045
D. 0.038


Answer: C

Mathematics

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Use a spherical coordinate integral to find the volume of the given solid.the solid between the spheres  and 

A. ?
B. ?
C. ?
D. ?

Mathematics

Write the prime factorization for the number 24.

What will be an ideal response?

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Solve the problem.Raya has $230 in her checking account. She writes a check for $43, makes a deposit for $90, and then writes another check for $122. Find the amount left in her account.

A. -25 dollars B. 155 dollars C. 25 dollars D. -155 dollars

Mathematics

Solve the absolute value inequality. Other than ?, use interval notation to express the solution set and graph the solution set on a number line. < 10

A. (-?, -6) ? (0, ?)

B. (-6, 0)

C. (-?, -6) ? (6, ?)

D. (-6, 6)

Mathematics