a circular footing 10m in diameter is proposed to carry a total load of 9000 KN. The footing is to be placed at a depth of 2m below ground surface. The soil is normally consolidated silty clay with a unit weight of 20KN/m^3 and undrained shear strength of 50 KPa.

1) determine the short-term factor of safety using the General bearing capacity equation.

2) Calculate the expected consolidation settlement of the footing if the compression index is 0.2 and the initial void ratio is 1.0.

3) if the calculated settlement is not acceptable, indicate the necessary steps to be taken before construction to reduce the consolidation settlement.

Recorded Temperatures in Fahrenheit and participation in inches at a place are as follows:

Temp: 86, 81,83,89,90,74,64

Percipitation: 3.4, 1.8, 3.5, 3.6, 3.7, 1.5, 0.2

A.) Find the sample correlation coefficient of, R

B.) What is the meaning of the value of r that you have calculated in PArt A?

C.) Test the significance of the population correlation coefficient, p at a=0.05

D.) find the value of the coefficient of variation, r^2

E.) What is the meaning of r^2 value you have caluclated in part d?

F.) Find y, when x=70

G.) find the standard error of the estimate

A 3-phase 60 HZ , 200km transmission line has a series impedance of z= 0.10 + j0.35 Ω/km and a capacitive reactance of 0.2 x 10 6 Ω-km. At the receiving end, the line delivers 250 MW @230/30θ kV and 0.95 lagging power factor.

Determine

a) The line impedance and shunt admittance

b) The A, B, C , D parameters

c) Sending end complex power and power factor

d) Is the PF is leading or lagging

e) Voltage regulation for the line

f) Line efficiency

g) Characteristic impedance of the line

Late at night, you are again greeted by the stranger in a dark silk cape. This time he has a coin with probability 0.2 of coming up heads. He suggests a game in which you flip the coin repeatedly, earning $1 for each heads and losing $1 for each tails. The game will continue until you go broke or have a fortune of $3.

a) If you begin the game with $2 in your pocket, what is the probability that after 2 flips, you will have $2?

b) If you begin the game with $1 in your pocket, what is the probability you will ever reach $3?

Un tanque inicialmente tiene 220 galones de agua limpia, pero una solución de sal de concentración desconocida se vierte a un ritmo de 6 galones por minuto. Si a la vez que se vierte se extrae solución a la misma velocidad y si al cabo de 40 minutos la concentración en el tanque fue de 0.2 libras de sal por galón, determine la concentración de la solución vertida (en libras por galón).

The following information is available for four securities:

Stock E(r) Std. Dev. p 1 p 2 p 3 p 4   

1 14% 30% 1.0 0.6 0.4 -0.2

2 10% 25% 1.0 .20 0.5

3 15% 34% 1 0.1

4 9% 22% 1

(a) [30 points] Calculate the expected returns and standard deviations of returns of the following two portfolios: P1 : {31%, 5%, 19%, 45%} P2 : {4%, 35%, 2%, 59%}

(b) [10 points] Which portfolio will be preferred by risk averse investors? Why?

A pipe is manufactured according to a process that produces 1 defective pipe per 5000 pipes produced. All pipes produced are subject to an x-ray inspection. 99.9% of all defective pipes fail the inspection (are correctly identified as defective). 0.2% of good pipes fail the inspection (are incorrectly identified as defective).

1)What is the probability that a randomly-selected pipe will fail the inspection? (E.g. enter 50% as 0.50.)

2) What is the probability that a pipe that passes the inspection is defective? (E.g. enter 50% as 0.50.)

3) What is the probability that a pipe that fails the inspection is good? (E.g. enter 50% as 0.50.)

Protein 1 and RNA A are mixed in equimolar ratios and observed in a spectrophotometer with a 1 cm path length. The absorbance reading at 260 nm (A260) is 1.23. What would you anticipate A280 being for this sample?

3 mL of Protein 1 and 0.2 mL of RNA A were mixed to obtain the reading in Part A. What were the starting concentrations of Protein 1 and RNA A (in μM).

Part 1. Single-tone Modulation a –Write the code for an m-file (script) to generate a single tone FM signal. The modulating (message) signal is a single tone signal with frequency 1kHz and the carrier frequency is 20kHz. Vary the modulation index as m=0.2; 0.5; 1; 5 and 10. Plot your original message signal and the modulated signal for each value of m. Discuss the results. Use cosine function to define the message signal.

b- Repeat the part above only that this time generate a single tone PM signal. Compare the plots in parts a and b.

We are studying the corrosion rate between a piece of copper and a piece of zinc by dipping them in water and using a DMM to measure the conductivity. In the first test electric potential was found, then the electrical current was found. My question is how to find corrosion rate? Given the equation Nzinc= I / 2(96485.33), I being the electrical current in amperes. I just want to know really if the information we obtained is enough, maybe could you work it out using theoretical value. potential= 1 volt and current= 0.2 amps?

Please show work,

Thanks