Provide an appropriate response.A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 50 seconds. Find the probability that a randomly selected boy in secondary school will take longer than 345 seconds to run the mile.
A. 0.0107
B. 0.4893
C. 0.9893
D. 0.5107
Answer: C
Mathematics
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Multiply.(7a)(7a2)
A. 49a3 B. 7a + 7a2 C. 14a3 D. 49a2
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Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Foci at (-5, 0), (5, 0); asymptotes: y = x, y = -
x
A. -
= 1
B. -
= 1
C. -
= 1
D. -
= 1
Mathematics
Use the fundamental identities to simplify the expression.cos ? - cos ? sin2?
A. cos3? B. sin ? C. tan2? D. sec2?
Mathematics
Simplify. Write your answers in the form of a+bi, where a and b are real numbers.8i(5 - 5i)
A. 40i + 40i2 B. - 40i - 40i2 C. 40i - 40 D. 40 + 40i
Mathematics