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Suppose that is invested at an interest rate of per year, compounded continuously. After how many years will the initial investment be doubled? Round your answer to two decimal places.
If 5 J of work are needed to stretch a spring from 10 cm to 11 cm and 7 J are needed to stretch it from 11 cm to 12 cm, what is the natural length L of the spring?
Probability and Statistical Methods. A manufacturing intraocular lens is in a process of verifying a polishing machine. The polisher will be accepted only if the percentage of polished lenses containing surface defects does not exceed 1.5%
Find the point on the line y = 3x + 3 that is closest to the origin. (Give your answers correct to three decimal places.)
Prove that if P is any point in a regular tetrahedron of height h, then the sum of the perpendicular distances from p to the four faces of the tetrahedron is equal to h.
Give the critical region, test statistic value, & conclusion for the F test.
Tony rented a truck for one day. There was a base fee of $14.95 , and there was an additional charge of 99 cents for each mile driven. Tony had to pay $147.61 when he returned the truck. For how many miles did he drive the truck?
ith a square base of side z is four times higher than it is wide. Express the volume V of the box as a function of z.
John davis, a manager at a supermarket, wants to estimate the proportion of the customers that will be using food stamps at his store. How large a sample is requested to estimate the true proportion with 5% with 95% confidence level?
a month for its economy plan The equation c=20t + 30 describes the total cost c of operating a media services phone for t month
A binary message is sent over a noisy channel. The message is a sequence x1, x2, . . . , xn of n bits (xi 2 {0, 1}). Since the channel is noisy, there is a chance that any bit might be corrupted, resulting in an error (a 0 becomes a 1 or vice vers..
A random sample of size 25 is taken from a normal population having a mean of 80 and a standard deviation of 5. A second random sample of size 36 is taken from a different normal population having a mean of 75 and a standard deviation of 3.
What is the probability of getting an A on the paper? What is the probability of getting an A on the exam?
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