Find the requested probability.A family has five children. The probability of having a girl is 1/2. What is the probability of having no girls?

A. 0.3126
B. 0.1563
C. 0.0625
D. 0.0313


Answer: D

Mathematics

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Answer the question.If  is a convergent series of nonnegative terms, what can be said about ?

A. Always converges B. Always diverges C. May converge or diverge

Mathematics

Find all the roots of the function. Use preliminary analysis and graphing to determine good initial approximations. Round to six decimal places.f(x) = cos 2x -  + 3

A. x ? -4.190947, 1.190947 B. x ? -2.801947, 2.579947 C. x ? -2.690947, 2.690947 D. x ? -2.579947, 2.801947

Mathematics

Find the missing parts of the triangle. A = 23°a = 35 kmb = 54 kmIf necessary, round angles to the nearest whole number and side lengths to the nearest km.

A. no such triangle B. B1 = 120°, C1 = 37°, c1 = 78 km B2 = 14°, C2 = 143°, c2 = 22 km C. B = 37°, C = 120°, c = 78 km D. B1 = 37°, C1 = 120°, c1 = 78 km B2 = 143°, C2 = 14°, c2 = 22 km

Mathematics

The graph and equation of a polynomial f(x) are given. Determine the number of real zeros and the number of imaginary zeros.f(x) = x2 - 2x + 1

A. two real zeros; no imaginary zeros B. one real zero; one imaginary zero C. one real zero; no imaginary zeros D. no real zeros; two imaginary zeros

Mathematics