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 more than 3 boys?
A. 0.3125
B. 0.5000
C. 0.9688
D. 0.8125
Answer: D
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Evaluate the line integral.
; C is the curve y = x3, 0 ? x ? 3
A. 9 B. 243 C. 27 D. 81
Translate to a system of three equations, then solve.A company sells nuts in bulk quantities. When bought in bulk, peanuts sell for $1.20 per pound, almonds for $2.65 per pound, and cashews for $3.50 per pound. Suppose a specialty shop wants a mixture of 400 pounds that will cost $2.93 per pound. Find the number of pounds of each type of nut if the sum of the number of pounds of almonds and cashews is four times the number of pounds of peanuts. Round your answers to the nearest pound.
A. Peanuts: 270 lb., almonds: 80 lb., cashews: 50 lb. B. Peanuts: 80 lb., almonds: 50 lb., cashews: 270 lb. C. Peanuts: 90 lb., almonds: 50 lb., cashews: 260 lb. D. Peanuts: 50 lb., almonds: 270 lb., cashews: 80 lb.
Simplify the expression. Write the result using positive exponents only.
A. 
B. 
C. 
D. 
Find the sum.
A. 30 B. 14 C. 32 D. 18