Solve the problem.The "normal curve" plays a central role in statistics. The curve is given by where ? and ? are constants. Find a Taylor polynomial of degree 2 that approximates the normal curve for x-values near zero.

A.
B.  + x2
C.  - x2
D.


Answer: D

Mathematics

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Evaluate the expression. Write your answer without negative exponents.5-3

A. 125
B.
C.
D. -125

Mathematics

Solve the problem.The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If V = 442.0 in.3 when  and P = 10 lb/in.2, what is the volume when  and P = 10 lb/in.2?

A. 364.0 in.3 B. 334.0 in.3 C. 354.0 in.3 D. 384.0 in.3

Mathematics

The percent p of high school seniors who smoke cigarettes can be described by , where t is the number of years past 1975. Choose the sentence that correctly interprets the meaning of the slope as a rate of change. ?

A. The slope represents the annual 33.58% increase of high school seniors who smoke. B. The slope represents the annual 6% decrease of high school seniors who smoke. C. The slope represents the annual 0.06% decrease of high school seniors who smoke. D. The slope represents the annual 0.06% increase of high school seniors who smoke. E. The slope represents the annual 33.58% decrease of high school seniors who smoke.

Mathematics

A single card is drawn from an ordinary 52-card deck. Find the probability of getting a black king.

A) 1/26 B) 1/52 C) 1/13 D) 1/4

Mathematics