Complete the identity.sin (? - ?) = ?

A. sin ?
B. -sin ?
C. -cos ?
D. cos ?


Answer: A

Mathematics

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Solve the problem.A country is made up of four regions A, B, C, and D. The population of each region, in thousands, is given in the following table.According to the country's constitution, the congress will have 20 seats, divided among the four regions according to their respective populations.(a) Find the standard divisor , in thousands.(b) How many people are there for each seat in the congress?

A. 57; 57,000 B. 20; 20,000 C. 60; 60,000 D. 58; 58,000

Mathematics

Solve the problem.The fluctuation in power (in W) in a microlamp was measured five times, and the measured values were 60.10, 59.93, 60.16, 60.03, and 59.82. Find the standard deviation and variance for the data. Round the results to the nearest thousandth.

A. s = 0.271, v = 0.073 B. s = 0.121, v = 0.015 C. s = 0.015, v = 0.001 D. s = 0.224, v = 0.050

Mathematics

Solve.A bag contains 8 red marbles, 4 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue when one marble is drawn from the bag?

A.  
B.  
C. 9
D.  

Mathematics

Solve the problem.You have $50,000 and wish to invest part at 10% and the rest at 6%. How much should be invested at each rate to produce the same return as if it all had been invested at 9%?

A. $37,500 at 6%, $12,500 at 10% B. $37,000 at 10%, $13,000 at 6% C. $37,000 at 6%, $13,000 at 10% D. $37,500 at 10%, $12,500 at 6%

Mathematics