Two average height parents have several children, all about the same average height as their parents. Which set of parental genotypes could account for these data? (Mark all correct answers)

If height in plants was controlled by three additive genes, A, B, and C, a cross of an intermediate plant with a genotype of AaBbCc with an intermediate plant with a genotype of AaBbCc, would produce what ratios of heights in the offspring?

In wheat, seed color is a polygenic trait (additive model). If true- breeding red and white varieties are crossed, the F1 are intermediate in color. If the F1 are self-fertilized, about 1 in 256 have white seeds. How many genes control variation in color?

An inbred strain of plants has a mean height of 20 cm. A second inbred strain also has a height of 40 cm. Crossing the two strains produces an F ₁ that has a mean height of 30 cm. The F ₂ have a continuous range of heights was observed with most plants around 30 cm and 1 out of 1000 at 20-cm, and 1 out of 1000 at 40 cm. How much does each additive allele contribute to height?

Please answer all and explain.Thank you!

Use strong induction to show that every positive integer n can be written as a sum of distinct powers of two, that is, as a sum of a subset of the integers 2^0 =1, 2^1 = 2, 2^2 = 4, and so on. [Hint: For the inductive step, separately consider the case where k + 1 is even and where it is odd. When it is even, note that (k + 1)/2 is an integer.]

1. If the call premium is $4, the stock price is $34 and the strike price is $35 then the intrinsic value of the call option is:

2. If the put premium is $5, the stock price is $27 and the strike price is $30 then the time value of the put option is:

3. Which of the following are equivalent positions according to the put-call parity?

Short Put and Long stock = Long call and Long bond

Long Put and Long bond = Long stock and Long call

Long Put and Long call = Long stock and Long bond

Long Put and Long stock = Long call and Long bond

Long Put and Short call = Long stock and Long bond

4. The current stock price is $500 and the risk-free rate is 10%. A put that matures in 6 months with a strike price of 500 is trading for $62.00. If the put-call parity holds then what is the implied price of a call option with the same maturity and strike price as the put?

5. If the fair price of a call is $7.84 but due to a market inefficiency the call is trading for $10, which of the following positions will allow you to make arbitrage profits:

Short put, long call, long bond, short stock

Long put, long call, long bond, short stock

Long put, short call, short bond, long stock

Short put, long call, short bond, long stock

Long put, long call, short bond, short stock

1. A point charge of 4 µC is located at x = -3.0 cm, and a second point charge of -5 µC is located at x = +4.0 cm. Where should a third charge of +6.0 µC be placed so that the electric field at x = 0 is zero?

2. An electron is released from rest in a weak electric field given by -1.7 x 10^-10 N/C . After the electron has traveled a vertical distance of 1.3 µm, what is its speed? (Do not neglect the gravitational force on the electron.)

3. A point charge of -2 µC is located at the origin. A second point charge of 6 µC is at x = 1 m, y = 0.5 m. Find the x and y coordinates of the position at which an electron would be in equilibrium.

4.Three charges, each of magnitude 4 nC, are at separate corners of a square of edge length 1 cm. The two charges at opposite corners are positive, and the other charge is negative. Find the force exerted by these charges on a fourth charge q = +3 nC at the remaining (upper right) corner. (Assume the +x axis is directed to the right and the +y axis is directed upward.)

1. Suppose that the price of Oranges is $4. In addition, suppose that the firm's total costs are $32 and that the firm currently sells 110 Oranges.

Given this information, what is this firm's total revenue?

Use the following information to answer questions 2 through 5:

The table below shows data for the production of avocados for an individual firm operating in a perfectly competitive market.

2. Given this data, complete the table:

3. At what quantity does this firm maximize its profit?

NOTE: If there are two quantities with the same level of profits, pick the larger of the two quantities!

4. What is marginal revenue at the profit maximizing quantity?

NOTE: If there are two quantities with the same level of profits, pick the larger of the two quantities!

5. What is marginal cost at the profit maximizing quantity?

NOTE: If there are two quantities with the same level of profits, pick the larger of the two quantities!  

1. Describe the process of selecting a suitable recrystallization solvent. (4 pts)

Calculate the balance of the premium account at the end of Year 1 - Quarter 4 using the following information:

$80,000 four-year note with 12% interest. The market rate is 11%.  This note's payments are quarterly and interest also compounds quarterly.  

The average monthly return of a bond portfolio is 1% with a standard deviation of 4%. On the other hand the average monthly return of a stock portfolio is 2% with standard deviation of 6%. Each portfolio is measured on a period of 24 months. Test if the variance of the stock portfolio is higher at 5% significance level.

Question 1     

In a survey of the population of employed workers in the UK, respondents are asked how many hours they usually work per week in their main job. The average of the responses is 25 hours, with a standard deviation of 8 hours. Suppose that working hours in the population follow a normal distribution with these values of the mean and standard deviation.

1. What percentage of people in the population work between 22 and 35 hours per week?
2. The middle 70% of people in the population have weekly working hours between which two figures?
3. What is the number of hours such that only 22% of people work that long or longer per week?
4. What is the number of hours that only 35% of people work that or less per week?