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.

An engineer wants to determine how the weight of a​ gas-powered car,​ x, affects gas​ mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts​ (a) through​ (d) below.

Weight (pounds), x   Miles per Gallon, y
3736 17
3938 17
2746 24
3485 19
3250 22
3035 24
3826 16
2506 23
3387 18
3847 18
3251 17

​(a) Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.

y^= (BLANK, round to 5 decimal places as needed)x + (BLANK, round to two decimal places as needed)

​(b) Interpret the slope and​ y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice.(Use answer from part A to find this answer)

A. A weightless car will get (BLANK) miles per​ gallon, on average. It is not appropriate to interpret the slope.

B. For every pound added to the weight of the​ car, gas mileage in the city will decrease by (BLANK) ​mile(s) per​ gallon, on average. A weightless car will get (BLANK)

miles per​ gallon, on average.

C. For every pound added to the weight of the​ car, gas mileage in the city will decrease by (BLANK) ​mile(s) per​ gallon, on average. It is not appropriate to interpret the​ y-intercept.

D. It is not appropriate to interpret the slope or the​ y-intercept.

​(c) A certain​ gas-powered car weighs 3700 pounds and gets 20 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this​ weight?

A. Above

B. Below

​(d) Would it be reasonable to use the​ least-squares regression line to predict the miles per gallon of a hybrid gas and electric​ car? Why or why​ not?

A.​ No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n =11.

B.​Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n =11.

C. ​No, because the hybrid is a different type of car.

D. ​Yes, because the hybrid is partially powered by gas.

An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below.

Click here to view the weight and gas mileage data.

(a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.

^y=  __________x +____________(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as needed.)

(b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice.

(Use the answer from part a to find this answer.)

A. A weightless car will get __________ miles per gallon, on average. It is not appropriate to interpret the slope.

B. For every pound added to the weight of the car, gas mileage in the city will decrease by________mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept.

C. For every pound added to the weight of the car, gas mileage in the city will decrease by_________mile(s) per gallon, on average. A weightless car will get                                  

_____________ miles per gallon, on average.

D. It is not appropriate to interpret the slope or the y-intercept.

(c) A certain gas-powered car weighs 3700 pounds and gets 17 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight?

A.    Above

B.    Below

(d) Would it be reasonable to use the least-squares regression line to predict the miles per gallon of a hybrid gas and electric car? Why or why not?

A. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 11.

B. No, because the hybrid is a different type of car.

C. Yes, because the hybrid is partially powered by gas.

D. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 11.

An engineer wants to determine how the weight of a​ gas-powered car,​ x, affects gas​ mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts​ (a) through​ (d) below

​(a) Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.

​(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as​ needed.)

​(b) Interpret the slope and​ y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. ​(Use the answer from part a to find this​ answer.)

A. For every pound added to the weight of the​ car, gas mileage in the city will decrease by ___ ​mile(s) per​ gallon, on average. It is not appropriate to interpret the​ y-intercept.

B. For every pound added to the weight of the​ car, gas mileage in the city will decrease by ___ ​mile(s) per​ gallon, on average. A weightless car will get ___ miles per​ gallon, on average.

C. A weightless car will get ___ miles per​ gallon, on average. It is not appropriate to interpret the slope.

D. It is not appropriate to interpret the slope or the​ y-intercept.

​(c) A certain​ gas-powered car weighs 3700 pounds and gets 19 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this​ weight?

A. Below

B. Above

(d) Would it be reasonable to use the​ least-squares regression line to predict the miles per gallon of a hybrid gas and electric​ car? Why or why​ not?

A. ​No, because the hybrid is a different type of car.

B. Yes, because the hybrid is partially powered by gas.

C. ​No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 11.

D.​Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 11.

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.