Solve the problem.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 450 seconds and a standard deviation of 40 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 358 seconds.
A. 0.4893
B. 0.5107
C. 0.0107
D. 0.9893
Answer: C
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Estimate the slope of the curve at the indicated point.
A. 2
B. -
C.
D. -2
Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real numbers.-
A. y +
x +
B. y +
x -
C. y -
x -
D. y -
x +
Solve the problem. Round your answer, if appropriate.As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume that the current image is 8 cm × 5 cm. Find the rate at which the area of the image is changing (dA/df) if the length of the image is changing at 0.7 cm/s and the width of the image is changing at 0.3 cm/s.
A. 11.8 cm2/sec B. 5.9 cm2/sec C. 14.2 cm2/sec D. 7.1 cm2/sec
The average daily food consumption F of a herbivorous mammal with body weight x, where both F and x are measured in pounds, is given approximately by the equation F =. Find the weight x of an elephant that consumes 400 lb of food per day.
(a) 15,000 lb (b) 20,000 lb (c) 10,000 lb (d) 5,000 lb (e) none of these