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Construct the sampling distribution of the sample mean for the population that consists of the scores 15, 18, 11, 14, 17, with a sample size of 3. Compute as well the mean of the sampling distribution using the expected value of the distribution and verify the result by computing for the population mean.


23.12 grams of glucose (C6H12O6) is dissolved in 1.00 kg of water. Calculate the molality

A source passing a stationary observer is emitting a frequency of 560 Hz. If the speed of sound is 345 m/s, what must the speed of the source be if the frequency of the source is 480 Hz? (Ans: 58 m/s)


You are moving in a car at 90 km/h and you see someone at the side of the highway. You can use your horn to warn the person. The frequency of the horn is 440 Hz. and the air temperature is 0°C. Calculate the frequency of the horn the person hears as you approach and pass. (Ans: Approaching: 480 Hz, Passing: 409 Hz)


A fire truck is emitting a 450 Hz signal passes by a stationary detector. The difference in frequency measured by the detector is 58 Hz. If the speed of sound is 345 m/s, how fast is the truck moving? (ans: 22m/s)


it is claimed that the average monthly income of chemical engineers last year was P27,900.00 A random sample of 36 chemical engineers is selected and it is found out that the average monthly salary is P28,000.00 Using a 0.05 level of significance can it be concluded that there is an increase in the average monthly income of chemical engineers? Assume that the population standard deviation is P250.50


If the distribution is not normally distributed and the sample size is small ,n=10, is the t-test still apropriate to use?explain your answer





Use Green’s Theorem to evaluate



∮C(x − 2y2) dx + (y4 + 2xy) dy where C consists of the line segment



from (0, 2) to (0, 4), followed by the curve with parametric equations x = 4 cos t, y = 4 sin t from (0, 4) to (−2, 2√3), then the line segment from (−2, 2√3) to (−1, √3), and finally the curve with parametric equations x = 2 sin t, y = 2 cos t from (−1, √3) to (0, 2).



A rocket is fired with an initial velocity of 100m/s at an angle of 55°above the horizontal it explode on the mountain side 12second after its fired what is the x&y coordinate of the rocket relative to its firing point?

A rocket is fired with an initial velocity of 100m/s at an angle of 55° above the horizontal it explode on the mountain side 12second after its fired what is the x&y coordinate of the rocket relative to its firing point

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