Prove the identity. = 

What will be an ideal response?


 =   =  = .

Mathematics

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Solve the problem.Suppose that a family has 5 children and that the probability of having a girl is . What is the probability of having exactly two girls and three boys?

A. 0.0312 B. 0.6252 C. 0.0625 D. 0.3125

Mathematics

Solve the equation by first multiplying both sides through by an appropriate power of 10 so that the equation contains integers only.1.2x - 3 - 0.7x = 13

A. 32 B. 3.2 C. 8.421 D. 26.6

Mathematics

Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.{5n - 3}

A. Arithmetic; d = -3 B. Arithmetic; d = 5 C. Geometric; r = 5 D. Neither

Mathematics

Estimate by rounding as directed.24 + 0.582 + 79.99; nearest one

A. 102 B. 103 C. 105 D. 106

Mathematics