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The average height of all entering freshmen students is 165 cm with the standard deviation


. To test the claim, a researcher selected a random sample of 50 freshmen of a certain


college. In this sample, and . Is the claim true?

Identify the surface of the ρ = sinΦsinθ by converting them into equations in the Cartesian form. Show the complete solutions.


Identify the surface of the z2 = 4 + 4r2 by converting them into equations in the Cartesian form. Show the complete solutions.


An accelerator at a Physics Laboratory can accelerate protons to a Kinetic energy of 10 ^ 12 * eV The rest mass of a proton is m * c ^ 2 = 9.38 * 10 ^ 6 * cV . What is the speed of that proton?


2. If a sample of helium gas has a volume of 120 mL and a pressure of 850 mm Hg, what is the new

volume if the pressure is changed to 425 mm Hg ?


Write a program to:

a)      Initialize an array of 8 entries for serial number.

b)     Set the value of 5th serial number to 89.

c)      Set the value of 3rd serial number to the addition of first two serial numbers.

d)     Display the serial number on 2nd index

e)     Print the whole array




What is the 5th percentile of a




t




-distribution whose sample size is 23?

A company produces mosquito repellants that have a period of effectiveness that is approximately normally distributed with a mean of 300 hours and a standard deviation of 30 hours. A sample of 40 repellants was taken and the average period of effectiveness is computed as 290 hours. Is this sufficient evidence to conclude that the company’s claim is true at α=0.01?

Using Snell’s law, determine the constant when the angle of incidence and the angle of refraction are:


a) 50˚ and 30˚


b) 30˚ and 18˚


c) 60˚ and 38˚

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