A charge of -1.0 µC is located at the origin, a second charge of 1 µC is located at x = 0, y = 0.1 m, and a third charge of 11 µC is located at x = 0.2 m, y = 0. Find the forces that act on each of the three charges.

(values for q=-1 is correct but all other values are wrong please show all work)

A metal bar of length 30 cm, is initially at 25 ^oC. Then through an electrical wire heat is generated at a rate of 0.5 cal/cm³s. The left end (x = 0 cm ) is contacted with a medium at 10 ^oC. At the right end there is a heat loss due to the air convection at a flux of 0.6 cal/cm²s. The physical properties are, k = 2 cal/cm ^oC s, r = 8 g/cm³, Cp = 0.2 cal/g ^oC.

Use M = 0.25, Dx = 5 cm. Solve the model numerically to find the temperature at the length of 22.5 cm after 10 seconds.

Determine the area of a flat piece of metal according to the data in the table below. The answer will need to be correctly stated as: (mean value ± σ_m) units. For example: Area = (3.2 ± 0.2 cm²).

(a)

Determine the mean, standard deviation, and the standard deviation of the mean for the measurements. (Hint: Use Logger Pro to help you make the calculations. Enter your mean values to at least four decimal places, and enter your standard deviations to at least five decimal places.)

Q#1

The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.10 years and a standard deviation of 2.00 years. Random samples of size 12 are drawn from the population and the mean of each sample is determined. Round the answers to the nearest hundredth.

Q#2

A coffee machine dispenses normally distributed amounts of coffee with a mean of 12 ounces and a standard deviation of 0.2 ounce. If a sample of 9 cups is selected, find the probability that the mean of the sample will be less than 12.1 ounces. Find the probability if the sample is just 1 cup.

An individual has three umbrellas, some at his office, and some at home. If he is leaving home in the morning (or leaving work at night) and it is raining, he will take an umbrella, if there is one there. Otherwise, he gets wet. Assume that, independent of the past, it rains on each trip with probability 0.2. To formulate a Markov chain, let Xn be the number of umbrellas at his current location “before” he starts his n-th trip. Note that “current location” can either be home or office, depending on whether the trip is from home to office or vice versa. Find the transition probabilities of this Markov chain

Consider the following.

a. What is the duration of a two-year bond that pays an annual coupon of 9 percent and whose current yield to maturity is 14 percent? Use $1,000 as the face value. (Do not round intermediate calculations. Round your answer to 3 decimal places. (e.g., 32.161))
b. What is the expected change in the price of the bond if interest rates are expected to decrease by 0.2 percent? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16))

a. duration of bond

b. expected change in the price

A study of depression and exercise was conducted. A total of 5 groups were used: each group differs by the extent to which group members exercise. A depression rating (scale: 1-100, a continuous variable) was given to all 1410 participants in the sample. An incompleted ANOVA table is provided below. What is the obtained F (i.e., value in Cell [8])?

You plan to invest in the Kish Hedge Fund, which has total capital of $500 million invested in five stocks:

Kish's beta coefficient can be found as a weighted average of its stocks' betas. The risk-free rate is 3%, and you believe the following probability distribution for future market returns is realistic:

1. What is the equation for the Security Market Line (SML)? (Hint: First determine the expected market return.)
   
   1. r_i = 3.0% + (10.0%)b_i
   2. r_i = 1.7% + (10.7%)b_i
   3. r_i = 3.0% + (10.9%)b_i
   4. r_i = 5.8% + (10.0%)b_i
   5. r_i = 5.8% + (10.9%)b_i
   
   -Select-IIIIIIIVVItem 1
   
2. Calculate Kish's required rate of return. Do not round intermediate calculations. Round your answer to two decimal places.
     %
   
3. Suppose Rick Kish, the president, receives a proposal from a company seeking new capital. The amount needed to take a position in the stock is $50 million, it has an expected return of 14%, and its estimated beta is 1.5. Should Kish invest in the new company?
   The new stock -Select-should notshouldItem 3 be purchased.
   
   At what expected rate of return should Kish be indifferent to purchasing the stock? Round your answer to two decimal places.
     %

You plan to invest in the Kish Hedge Fund, which has total capital of $500 million invested in five stocks:

Kish's beta coefficient can be found as a weighted average of its stocks' betas. The risk-free rate is 4%, and you believe the following probability distribution for future market returns is realistic:

1. What is the equation for the Security Market Line (SML)? (Hint: First determine the expected market return.)
   1. r_i = 2.3% + (9.2%)b_i
   2. r_i = 2.3% + (11.1%)b_i
   3. r_i = 4.0% + (9.2%)b_i
   4. r_i = 5.3% + (8.6%)b_i
   5. r_i = 4.0% + (11.1%)b_i

   -Select-IIIIIIIVVItem 1

2. Calculate Kish's required rate of return. Do not round intermediate calculations. Round your answer to two decimal places.

     %

3. Suppose Rick Kish, the president, receives a proposal from a company seeking new capital. The amount needed to take a position in the stock is $50 million, it has an expected return of 16%, and its estimated beta is 1.4. Should Kish invest in the new company?

   The new stock should or should not be purchased.?

   At what expected rate of return should Kish be indifferent to purchasing the stock? Round your answer to two decimal places.

     %