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“A train of mass 120,000 kg is moving with velocity of 10m/s and is acted upon by a forward force of 7000 N due to engine and frictional force of 750 N. What will be the velocity of the train after 1,000 seconds?”
A spherical conductor of radius 8 cm has a uniform surface charge density of 0.1 nC/m^2. Determine the electric field: a) on the surface of the conductor; b) at a distance of 10 cm from the centre of the conductor.
A researcher is conducting a survey about the cellphones used by 50 employees. If � represents the number of users of Brand X, what are the possible values of �? (2 points
A jeepney can accommodate 16 passengers. If x denotes the number of male passengers
in the jeepney when it is full, what are the possible values of x?
Random Variables
Direction: Solve the problem below and complete the table.
Suppose three cellphones are tested at random. We want to find out the number of defective cellphones that occur. Thus, to each outcome in the sample space we shall assign a value.
Let D represent the defective cell phone and N represented the non-defective cell phone. If we let X be the random variable representing the number of defective cell phone, show the values of the random variable X? Complete the table below.
Possible Outcome Value of the Random Variable X
(Number of defective cell phone)
Identify if the given statement is a proposition or not.
There are no black flies in Maine.
Calculate the mean, variance, and standard deviation. Show your solution.
1. X P(X)
1 0.11
2 0.49
3 0.33
4 0.07
2. X P(X)
2 2/10
4 3/10
6 4/10
8 1/10
3. X P(X)
1 0.25
3 0.13
4 0.35
6 0.27
A hockey player makes a slap shot, exerting a
force of 37.2 N on the hockey puck for 0.147 s.
What impulse is given to the puck?
Answer in units of kgm/s.
A deck of 52 playing cards has 4 aces. The probability of getting one ace less than zero
Illustrate with 12 balanced chemical equations the reactions of water as described above. ( Chemical properties)
