For the next three questions, go back to the original consumption function (C = 100 + 0.2(Y-T)),
and suppose instead that there is a decrease in tax (assume no change in government spending now).
What will the effect be on consumption. (You can answer this based on your intuitive
understanding of the model, or you can answer it by plugging numbers of your choosing into the
model to compute an answer mathematically.)

If you wish to estimate the proportion of engineers who have studied probability theory and you
wish your estimation to be correct within 2% with probability 95% or more, how large the sample
you would take
(a) if you have no idea what the true proportion is, [Ans: 12500]
(b) if you are confident that the true proportion is less than 0.2. [Ans: 8000]

Use Bisection method to determine the drage coefficient needed so that an 80-kg bungee jumper has a velocity of 36 m/s after 4 s of free fall. Note: The acceleration of gravity is 9.81 m/s^2. Start with initial guesses of xl = 0.1 and xu = 0.2 and iterate until the approximate relative error falls below 2%.

8) A step in ecological succession is called a(n)______

28) DNA fingerprinting utilizes _________

29) Bacteria perform a form of cell division called __________

30)Which level of protein structure involves the coiling of the polypeptide into an alpha helix?

35) If the frequency of 2 alleles in a population is p = 08 and q = 0.2, and the population is in Hardy-Weinberg equilibrium, then the frequency of homozygote recessive genotype is ____________

1. The weights of items produced by a company are normally distributed with a mean of 5 ounces and a standard deviation of 0.2 ounces. What is the proportion of items that weigh more than 4.6 ounces?

2. What is the minimum weight of the heaviest 30.85% of all items produced?

3. Determine specifications (in ounces) that are symmetric about the mean that includes 90% of the weight of all items produced.

Mark all pairs of H₀/H₁ below as valid (V) or invalid (I):

1. H₀: p = 0.4 vs.   H₁: p > 0.4
2. H₀: p ≠ 0.53 vs.   H₁: p = 0.53
3. H₀: σ² = 15 vs.   H₁: σ² ≠ 15
4. H₀: µ = 3   vs.   H₁: σ² ≠ 9
5. H₀: µ = 4   vs.   H₁: µ ≠ 0.2

A centrifugal pump delivers water at rate of 0.22 m³/s from a reservoir at a ground level to another reservoir to height 'h' through a vertical pipe of 0.2 m diameter. Both are open to atmosphere. Power input to pump is 90 kW and it operates with 75% efficiency . f=0.004 use g=9.8 m/s² density=1000kg/m³. Find 'h'.

You are working for the CFO of a small manufacturing company and are thinking about investing in new equipment. The cost of the project is 9,500 today and it pays of 15,000 in ten years. Your beta is 0.2 and the market risk premium is 5%.

1. What is the NPV of the project if the 10-year Treasury (risk-free) rate is 2.6%?

2. What is the NPV if the 10-year Treasury rate is 3.1%?

A person is pulling on a block with a force of 100N at an angle of 30 degrees with the horizontal (+x direction). If the mass of the block is 10kg and the coefficient of friction is uk=0.2, and the block undergoes a displacement of 15 m in the +x direction, what is the net work done on the block?

a.) -294 J

b.) 294 J

c.)1005 J

d.)1299 J

e.)1593 J

13. a) Explain the working of a pneumatic P+I controller. b) A PI controller is reverse acting with PB = 20% and repeats per minute = 12 and derivative time 0.2 minutes. Determine the time at which the controller output reaches zero percent if the input error ep to the controller varies ep = 0.9t%, t ≥ 0 the controller output at t = 0 was72%.