A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100 hours, and distribution approximated by a normal curve. Find the percentage of bulbs that can be expected to last the period of time. Round to the nearest hundredth, if necessary.Greater than 500 hours
A. 50%
B. 52%
C. 80%
D. 40%
Answer: A
Mathematics
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Use De Moivre's theorem to simplify the expression. Write the answer in a + bi form.(-5 + 5i
)3
A. 5 + 5i
B. 500 + 500i
C. 50 + 50i
D. 15 + 15i
Mathematics
Solve the problem.An architect needs to design a rectangular room with an area of . What dimensions should he use in order to minimize the perimeter?
A. 19.4 ft x 97 ft B. 9.85 ft x 24.25 ft C. 24.25 ft x 24.25 ft D. 9.85 ft x 9.85 ft
Mathematics
If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.8x2y2 + 10xy2 - 25y2
A. (4x + 5y)(2x - 5y) B. y2(2x + 5)(4x - 5) C. y2(x + 5)(8x - 5) D. (2x + 5y)(4x - 5y)
Mathematics
Multiply.-10x3(-9x + 8)
A. 90x4 - 80x3 B. 90x4 + 8 C. 10x3 D. 90x - 80
Mathematics