A boat leaves the harbor entrance and travels 27 miles in the direction ??? ° ?. The captain then travels for another 16 miles in the direction ??? ° ?, which is the boat’s final position. How far is the harbor entrance from the boat’s final position? What is the bearing of the boat from the harbor entrance? Round your answers to the nearest WHOLE numbers.

Two airplanes are flying in the air at the same height. Airplane A is flying east at 250 mph and airplane B is flying north at 400 mph. If they are both heading to the same airport, located 30 miles east of airplane A and 40 miles north of airplane B, at what rate (in mph) is the distance between the airplanes changing?

In a random sample of five people, the mean driving distance to work was 25.4 miles and the standard deviation was 5.2 miles. Assume the random variable is normally distributed and use a t-distribution to find the margin of error and construct confidence intervals for the population mean at the following confidence levels:

a. 85%

b. 90%

c. 99%

If you found an emaciated house cat in a park and decided to provide nutritional rehabilitation, what are 4 important principles that you would consider in deciding your course of action (list and explain)?

Please answer each question in 350-500 words.

Discuss how you and your work place(Delta hotel by Marriott) could create a better team-orientated work environment.

1. Compute a weighted moving average forecast for November. Use the following weights:
   0.5 for Oct., 0.3 for Sept., and 0.2 for August.
   1. 422.5
   2. 312.8
   3. 529.0
   4. 485.0
2. Compute an exponential smoothing forecast for November. Assume forecast for September is 425.5, and use a smoothing constant equal to 0.3.
   1. 485.0
   2. 379.5
   3. 433.4
   4. 459.6

Goal:
Make the highest volume VG/PG solution at 80%/20%, respectively, with a 0.3% nicotine level.

Ingredients:

750ml VG

250ml PG

125ml 75%/25% VG/PG solution at 2.4% nicotine level.

I need to know the formula for the highest volume of this solution I can make that ends with a 0.3% nicotine level at an 80%/20% VG/PG ratio, given the above listed ingredients.

Let X1, X2, ..., Xn be a random sample of size from a distribution with probability density function

f(x) = λxλ−1 , 0 < x < 1, λ > 0

a) Get the method of moments estimator of λ. Calculate the estimate when x1 = 0.1, x2 = 0.2, x3 = 0.3.

b) Get the maximum likelihood estimator of λ. Calculate the estimate when x1 = 0.1, x2 = 0.2, x3 = 0.3.

In a specific population of plants the occurrence of homozygous recessive (aa) individuals is determined to be 9%. Assume the population is in Hardy-Weinberg Equilibrium.

1. What is the frequency of the dominant (A) allele in the population?

1. 0.9
2. 0.7
3. 0.3
4. 0.09

2. What is the frequency of the recessive (a) allele in the population?

1. 0.9
2. 0.7
3. 0.3
4. 0.09

3. What is the frequency of the homozygous dominant individuals in the population?

1. 0.810
2. 0.490
3. 0.900
4. 0.081

4. What is the frequency of the heterozygotes in the population?

1. 0.49
2. 0.42
3. 0.38
4. 0.09