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Consider all samples of size 4 from this population: 3, 6, 10, 13, 15, 20
a. Make a sampling distribution of the sample means
b. Compute the mean of the sample means
c. Compute the variance and standard deviation of the sample means
Let f:[ 0,π/2] → [-1,1] be a function defined by f(x)= cos 2x . Verify that f satisfies the condition of the inverse function theorem. Hence, what can you conclude about the continuity of f^-1?
Prove that the sequence (fn(x)), where fn(x)= nx/(1+ nx^2) is not uniformly convergent in [-2,2]
A bucket mass of 1 kg is whirled in a vertical circle of radius 1 m. How fast must the bucket move at the top of the circle so that the rope doesn't slack?
In the electron positron pair production, the speed of electron is:
A)zero
B)less than the speed of positron
C)equals to speed of positron
D)greater than speed of positron
if the source of light is moving towards the observer, then the speed of light received by the observer will be:
A)decreased
B)increased
C)remain same
D)maximum
The isotope strontium-90 is produced during the testing of nuclear weapons. If 100.0mg of strontium-90 was released in the atmosphere in 1960, how much of the radioisotope remains 85 years later? The half-life of strontium-90 is 29 years. Show all your work.
1.Calculate the freezing point of solution containing 0.600 kg of CHCl3 and 42.0 g of Eucalyptol (C10H18O) , a fragrant substance found in the leaves of eucalyptus tree. Kf for CHCl3 is 4.68°C/molal and normal freezing point is -63.5°C.
1.Calculate the freezing point of solution containing 0.600 kg of CHCl3 and 42.0 g of Eucalyptol (C10H18O) , a fragrant substance found in the leaves of eucalyptus tree. Kf for CHCl3 is 4.68°C/molal and normal freezing point is -63.5°C.
2.List the following aqueous solutions in order of their expected freezing points ( from lowest to highest) : 0.50 m CaCl2 ; 0.15 m NaCl ; 0.10 m HCl ; 0.050 m HC2H3O2 ; 0.10 m C12H22O11. Then explain the reason why you arrange it that way.
You are working as a Junior Engineer for a small motor racing team. You have been given a proposed mathematical model to calculate the velocity of a car accelerating from rest in a straight line. The equation is: 𝑣(𝑡) = 𝐴 (1 − 𝑒 − 𝑡 𝑡𝑚𝑎𝑥𝑠𝑝𝑒𝑒𝑑)
Ascari A10 5.0 V8 - [2006] t=2.8 tm(400)= 10.36 tmaxspeed= 7.8
derive an equation a(t) for the instantaneous position of the car as a function of time? Identify the acceleration of the car at t = 0s and asymptote of this function as t → ∞?
#339914 on Dec 2023