Question 10. One kind of plant has only blue flowers and white flowers. According to a genetic model, the offsprings of a certain cross have a 75% chance to be blue-flowering, and a 25% chance to be white-flowering, independently of one another. Two hundred seeds of such a cross are raised, and 142 turn out to be blue-flowering. Are the data consistent with the 10. One kind of plant has only blue flowers and white flowers. According to a genetic model, the offsprings of a certain cross have a 75% chance to be blue-flowering, and a 25% chance to be white-flowering, independently of one another. Two hundred seeds of such a cross are raised, and 142 turn out to be blue-flowering. Are the data consistent with the model? Answer yes or no, and explain briefly.

Subject: Probability Analysis of Civil Engineering   Problem 2. A shallow foundation may fail due to earthquakes. Suppose that the probability that an earthquake will occur in one year is 0.01. If the earthquake occurs, the factor of safety of the foundation is normally distributed with a mean of 1.2 and a standard deviation of 0.15. Suppose the foundation will fail if its factor of safety is less than 1.0. What is the annual failure probability of the foundation?

Funding your retirement You plan to retire in exactly 20 years. Your goal is to create a fund that will allow you to receive \( \$ 20,000 \) at the end of each year for the 30 years between retirement and death (a psychic told you that you would die exactly 30 years after you retire). You know that you will be able to earn \( 11 \% \) per year during the 30 -year retirement period. a. How large a fund will you need when you retire in 20 years to provide the 30 -year, \$20,000 retirement annuity? b. How much will you need today as a single amount to provide the fund calculated in part a if you earn only \( 9 \% \) per year during the 20 years preceding retirement? c. What effect would an increase in the rate you can earn both during and prior to retirement have on the values found in parts \( \mathbf{a} \) and \( \mathbf{b} \) ? Explain. d. Now assume that you will earn \( 10 \% \) from now through the end of your retirement. You want to make 20 end-of-year deposits into your retirement account that will fund the 30 -year stream of \( \$ 20,000 \) annual annuity payments. How large do your annual deposits have to be?

Questions; please explain the folllowing questions. Describe the five most effective ways to create value proposition by analyzing customer segment. Explain the “Get, Keep, Grow” customer relationships models with examples and discuss their interrelationships.

Explain the “Get, Keep, Grow” customer relationships models with examples and discuss their interrelationships

Part A - Ideal op amp circuits with a voltage source: part 1 For the circuit shown, determine V. iz. and i, when V= 2 V R = 4 kN Rg = 4 k22 and R3 = 25 kN2 Assume that the op amp is in its linear region of operation Express your answer to two significant figures using appropriate units. View Available Hints) R3 = 25 kg w 1 ix = VCC mA R = 42 w V = 2 v -V R2 = 42 Vo = V 10 = IMA Part B - Ideal op amp circuits with a voltage source: part 2 For the circuit shown (Figure 1), determine the range (ie, maximum and minimum values) of V, so that the op amp operates in the linear region. Assume that R1 = 8 kN. R2 = 8 kN. R3 = 15 k2 and Va = 10 V Express your answer in volts to two significant figures separated by a comma. View Available Hint(s) V Η ΑΣΦ UT vec ? minimum V.. maximum V. = V Submit Part C - Ideal op amp circuits with voltage and current sources Determine V. when V =3V.I, = 1.6 mA R1 = 2 ks2. R2 = 20 kN2, and R3 = 10 k12. Assume that the op amp is in its linear region of operation. (Figure 2) Express your answer to two significant figures and include the appropriate units. | View Available Hint(s) μΑ ? V. = Value Units Submit

P2 Consider the linear system of two ODES dy = Ay, dt where A= : [ -1 -2 2 -1 a Find the eigenvalues of the matrix A. [1 mark] b Calculate the bound h for the stepsize h such that h <h characterizes asymptotic stability of the zero solution when Euler's method is applied to this system. [3 marks]