2. The following probability distribution of the monthly incomes (X in $1000) of
account executives has been estimated for a big accounting firm.
a. Find the expected value and the standard deviation of the monthly
incomes.
b. A random sample of 64 executives is taken. What is the probability
that the sample mean value exceeds $20,500?

X   12 14 20 22 30
P(X) 0.15 0.15 0.4 0.2 0.1

A horizontal wire has one end fastened to a wall while the other end is pulled with a force of 200 N. The wire has a length of 5 m, a volume mass density of 7,400 kg/m³ , and a resistivity of 6.9e-07 Ωm. A transverse pulse takes 0.2 s to travel the length of the wire. Calculate the electrical power dissipated by the wire while a current of 2 A is passing through the wire

with 2 blocks on an incline, what happens when
1) both A & B are stuck and when
2) B is stuck and A starts to slide?
Obviously, Static and Kinetic frictions will play accordingly and Tension in the string T = 0

A = 1 kg, B= 2 kg, Frictional coeff KA = 0.2, KB = 0.1, Theta = 20 degrees

This is a problem that exists on this site and a solution for when the blocks start moving

A conduit carrying water vapor has one inlet and two exits. At the inlet, the velocity 25 m/s, the pressure is 4 bar and the temperature is 350 Celsius. The area at the inlet is 0.2 m^2 . At both the exits, the temperature and pressure are 300 Celsius and 3 bar respectively. The volumetric flow rate is identical at the two exits. Assuming steady-state conditions, calculate the volumetric flow rate at the exits.

A gas obeys the following equation of state: P(v-b)=RT, where b is constant and has a value of 0.2 m³/Kmole. The heat capacity for the gas can be assumed constant at 40 Kj/Kmol oK.

(a)Calculate change in h and s for State 1(10 bar, 300 K) to State 2( 20 bar, 400 K).

(b) Show Cp is independent of pressure

A horizontal wire has one end fastened to a wall while the other end is pulled with a force of 200 N. The wire has a length of 5 m, a volume mass density of 7,000 kg/m³ , and a resistivity of 6.9e-07 Ωm. A transverse pulse takes 0.2 s to travel the length of the wire. Calculate the electrical power dissipated by the wire while a current of 2 A is passing through the wire.

(1 point) Rework problem 11 from section 3.4 of your text, involving the flipping of either a fair or weighted coin. Assume that the weighted coin yields a heads with probability 0.2. You select one of the two coins at random, and flip it 3 times, noting heads or tails with each flip.

What is the probability that the weighted coin was selected, given that all 3 flips turned up heads?

In your garden, you have a hose with a radius of 3 cm connected to a sprinkler with twelve openings, each of which has a radius of 0.2 cm. The sprinkler openings are aimed 25• above the horizon, and the water travels a distance of 4 m before hitting your flowers.

a) What is the exit velocity at the sprinkler openings?

b) What is the flow rate of the sprinkler?

c) What must the water pressure in the hose be?

In a titration of a 250mL solution of 0.05M ammonia (NH3) (Kb=1.8 * 10^-5) with a concentrated (0.2M) solution of HCL, calculate the following:

1. What is the initial pH before adding HCL?

2. What is the pH of the system after adding 20mL of the 0.2 M HCL?

3. What is the pH at equivalence?

*I have the answers, I really need to know how to do the work to get to the answers.*

Suppose that the annual demand will be 10000 units. The company operates 250 days/year, with two 8-hour shifts a day. Management believes that a capacity cushion of 15% is the best. Average lot site is 50 units and the standard processing time is 0.5 hours. Each lot requires 0.2 hours standard set up time. How many production line would be needed to compensate the demand?(15pts)