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The mean scores of a random sample of 17 students who took a special test is 83.5. If the standard deviation of the scores is 4.1, and the sample comes from an approximately normal population, find the point and the interval estimates of the population mean adopting a confidence level of 95%. With explanation


write a function with the name calculate_league_points then takes the number of wins, draws, and losses and calculates the number of points a football team has obtained so far - Each win is equal to 4 points - Each win is equal to 2 points - Each win is equal to -1 points


A narrow coil of 10 turns and area 4×10^-2m^2 is placed in a uniform magnetic field of flux density of 10^-2T so that the flux links the turns normally .calculate the accurate induced EMF in the coil if it is removed completely from the field in 0.55seconds


How many moles of carbon dioxide will be produced by the complete reaction of 2.0 mole of glucose (C6 H12 O6)

The potential difference between a certain thundercloud and the ground is 7MVolts. Find the energy dissipated when a charge of 50 Coul is transferred from the clouds to the ground in a lightning stroke



A 200 g whistle firecracker is set and fired horizontally in a straight line on top a smooth platform.

Its speed is 1.654 m/s in 0.35 seconds.

a) What is the momentum ?

b) The force in that time.


From 12 m/s to 54 km/hr , a 1500 kg jeepney accelerates that produce a force of 450 N. Find

a) the momentum of the jeepney.

b) the time to accelerate ?


Internal critical angle in core at core cladding interface of a step index fiber 78.6. The refractive index of cladding is 1.45 what is refractive index of core


. A poster must have 32 sq.in. of printed materials with margins of 4 inches each at the top and 2 inches at each side. Find the dimensions of the whole poster if its area is maximum.


let p(n) 1^3+2^3+....+n^3=(n(n+1)/2)2 for positive integer n


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