A baseball is thrown horizontally with an initial velocity of 20 m/s from
the height of 1.5 m. How long will it take to reach the ground? How far
will it go horizontally?
A basket contains 12 ripe and 7 unripe mangoes. If four mangoes are taken from the basket one after the other, how many samples space we have in this experiment?
A population consistent of value 3,5,7 and 9
1)List all the possible of size n=3 when drawing with replacement and compute the mean of each sample
2) construct a sampling distribution of the mean
3) compute for the mean and variance of the of the sample means
Using the Chain Rule, find the šš¦/šš„ and express the final answer in term of x.
š¦ = 2š¢/š¢Ā²ā1 , u=x²
The take-off velocity of a small jet plane on a straight runway is 55 ms. If the average acceleration of the plane during take-off is 2.2 ms^2, calculate the time the plane will take to reach its take-off velocity.
The volume, V cm3, of a metallic cube of side length x cm, is increasing at the constant rate of 0.216 cm3 sā 1 .
(a) Determine the rate at which the side of the cube is increasing when the side length reaches 6 cm.
(b) Find the rate at which the surface area of the cube, A cm2, is increasing when the side length reaches 6 cm.
Consider the function, f x( ) = 2x3 ā24x2 ā7. Find the intervals of x where f(x) is increasing or decreasing.
Find the coordinates of the points on the curve š¦ = 3š„3 ā 2š„2 ā 12š„ + 2 where the normal is parallel to the line š¦ = āš„ + 1.
A sample of 0.846 mol Ne gas at 18°C has a volume of 18.5 L under a pressure of 1.09 atm. The gas is then compressed to 10.5 L at 18°C. Calculate the final pressure.
Explain two important processes depending on osmosis in the body