In 2017, the entire fleet of light‑duty vehicles sold in the United States by each manufacturer must emit an average of no more than 86 milligrams per mile (mg/mi) of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) over the useful life (150,000 miles of driving) of the vehicle. NOX + NMOG emissions over the useful life for one car model vary Normally with mean 82 mg/mi and standard deviation 5 mg/mi.

(a) What is the probability that a single car of this model emits more than 86 mg/mi of NOX + NMOG? (Enter your answer rounded to four decimal places.)

(b) A company has 25 cars of this model in its fleet. What is the probability that the average NOX + NMOG level x¯ of these cars is above 86 mg/mi? (Enter your answer rounded to four decimal places.

An independent mail delivery service wants to study factors that affect the daily gas usage of its delivery trucks. Using data collected from different trucks on various days, a company analyst uses a software to fit a regression model of the form =y+52.3+−8.9x14.1x2+5x30.09x4 , where =y volume of gasoline used (in gallons) =x1 weight of truck (in tons) =x2 tire pressure (in psi, pounds per square inch) =x3 weight of initial package load (in hundreds of pounds) =x4 total distance driven while delivering packages (in miles) Answer the following questions for the interpretation of the coefficient of x1 in this model. Holding the other variables fixed, what is the average change in daily fuel used for each additional ton that a truck weighs? gallon(s) Is this change an increase or a decrease? increase decrease

1) A utility airport is being planned to serve a small community. The visual runway is to be 3600 ft. long. Indicate whether or not the following objects will be considered obstructions to air navigation by the FAA. (HINT: 1 nautical mile = 6076 ft.)

a) A 220-ft radio tower that is not in the landing approach, located 3.1 miles from the airport reference point. The ground elevation at the tower is 25ft higher than the established airport elevation.

b) A planned 75-ft-high office building within the landing approach 1/2 mile from the end of the runway.

2) For the utility airport indicated above, what length of runway is required if the airport is located at 6000 ft above sea level and has a mean daily maximum temperature of 75°F? The effective gradient is 1.2 percent. The airport must accommodate small airplanes having more than 10 seats.

1. Wastewater of 30ft³/s with a biochemical oxygen demand (BOD) of 55mg/l, and dissolved oxygen (DO) of 3.3mg/l enters a river where the flow is 125ft³/s with an ultimate BOD of 7.0 mg/l, and DO of 6.8mg/l. The downstream has an average velocity of 0.8ft/s.

i           Calculate the minimum DO level and its distance in miles downstream using the oxygen sag equation. Assume k₁ = 0.046 per day and k₂ = 0.304 per day. The saturation DO = 8.5mg/l. (1 mile = 5280ft)

ii          At what distance downstream would the DO level of the river be equal to 6.10 mg/l?

iii      How much should the wastewater DO be increased to maintain a minimum DO of 4.8mg/l anywhere along the river. Assuming that the BOD of the wastewater and the river flow remains the same?

1. Based on the tables below, write SQL command to perform the following tasks for MySql:

1. Create SALESREP and CUSTOMER tables
2. Create primary and foreign keys as appropriate. The custNo should use a surrogate key as the primary key with auto-increment
3. increase the balance of the Gonzales account by $100 to a total of $450?
4. Find an average customer balance
5. Display the name of the sales representative and the name of the customer for each customer that has a balance greater than 400

SALESREP

CUSTOMER

Joe​ Henry's machine shop uses 2450 brackets during the course of a year. These brackets are purchased from a supplier 90 miles away. The following information is known about the​ brackets:

Annual demand 2,450

Holding cost per bracket per year $ 1.25

Order cost per order $ 18.25

Lead time 2 days

Working days per year 250

a.) Given the above information, what would be the economic order quantity (EOQ)?

b.) Given the EOQ, what would be the average inventory? What would be the annual inventory holding cost?

c.) Given the EOQ, how many orders would be made each year? What would be the annual order cost?

d.) Given the EOQ, what is the total annual cost of managing the inventory?

e.) What is the time between orders?

f.) What is the reorder point (ROP)

Question 1

We wish to see if, on average, traffic is moving at the posted speed limit of 65 miles per hour along a certain stretch of Interstate 70. On each of four randomly selected days, a randomly selected car is timed and the speed of the car is recorded. The observed times were:

70                    65                    70                    75

Assuming that speeds are normally distributed with mean m, is there evidence that the mean speed is not equal to the posted speed limit?

a. Check the needed conditions for both the test statistic and confidence interval. (Do not do a stemplot.)

b. State Ho and Ha.

c. Calculate the test statistic (if applicable – state the degrees of freedom)

d. Find the p-value.

e. What is the conclusion for this problem? Do you reject Ho?

f. Calculate the 95% confidence interval.

g. Interpret the confidence interval

1. A deficit in the overall balance of payments of a nation generally is an indication that:

a. the country’s monetary authority is selling foreign currency.

b. the country’s monetary authority is buying foreign currency.

c. the country’s monetary authority is buying domestic government bonds.

d. the country’s monetary authority is selling domestic currency.

2. Which of the following is an immediate effect of an increase in money supply by the European Central Bank by 10 percent?

a. There will be an inflow of foreign capital in the countries belonging to the European Union.

b. The expected exchange rate value of the foreign currencies vis-à-vis the Euro will increase.

c. The interest rate in the EU countries will increase.

d. The product prices in the EU countries will decline drastically.

3. If the marginal propensity to save is 0.3 and the marginal propensity to import is 0.2, then value of the simple spending multiplier is:

      a. 2.0.

      b. 0.5.

      c.1.5.

      d.0.1.

4. If the marginal propensity to save is 0.3 and the marginal propensity to import is 0.1, and the government increases expenditures by $10 billion, ignoring foreign-income repercussions, how much will GDP rise?

      a. $20 billion.

      b. $10 billion.

      c. $25 billion.

d. $15 billion.

5. Equilibrium GDP in the short-run is determined at the point where:

       a. gross domestic production equals aggregate demand.

       b.domestic production equals domestic consumption.

       c.imports equal exports.

       d. the rate of unemployment equals zero.

6. Real domestic investment spending is:

a. positively related to the marginal propensity to consume.

b. negatively related to the level of interest rates in the economy.

c. positively related to government spending.

d. negatively related to the exchange rate.

7. The greater the marginal propensity to import:

a. the smaller the spending multiplier.

b. the greater the level of investment.

c. the greater is the net export.

d. the smaller is the level of consumption.

8. Which of the following refers to foreign exchange?

a. The act of trading different nations’ moneys

b. The holdings of foreign assets

c. The act of exchanging goods and services internationally.

d. The adoption of foreign trade policies

9. An increase in the dollar per euro exchange rate will result in:

a. a decline in the quantity demanded for euro.

b. a decline in the quantity demanded for dollar.

c. an inward shift of the supply curve of euro.

d. an outward shift of the demand curve for dollar.

Please choose the correct answer for problem 1,2,3,4

1) A brick wall has a thickness of 0.3 m, an area of 30 m² , and a thermal conductivity of 0.7W/(m· ◦C). One side of the wall is at a temperature of 5◦C and the other side of the wall is at 25◦C. What is the energy/sec flowing through the wall due to conduction?

A. 1000 W   B. 1200 W   C. 1400 W   D. 1600 W

2) A brick wall has a thickness of 0.3 m, an area of 30 m² , and a thermal conductivity of 0.7W/(m· ◦C). One side of the wall is at a temperature of 5◦C and the other side of the wall is at 25◦C. Assuming the temperatures 5◦C and 25◦C remain constant, how many joules of energy will flow through the wall due to conduction, in 50 seconds?

A. 60000 J.   B. 70000 J    C. 80000 J.    D. 90000 J

3) A copper rod of length 18 cm = 0.18 m is joined to a steel rod of length 6 cm = 0.06 m. The copper rod and the steel rod have the same cross-sectional area 0.0004 m² . The temperature on the left end of the copper rod is 100◦C and the temperature at the right end of the steel rod is 0◦C. Copper has a thermal conductivity of 387W/(m · ◦ C) and Steel has a thermal conductivity of 43W/(m · ◦ C). The energy/sec flowing through the 2 rod system is in steady state, meaning the heat flow due to conduction is constant in the 2 rod system. What is the energy/sec flowing through the two rod system due to conduction?

A. 21.5 W    B. 41.5 W   C. 61.5 W   D. 81.5 W

4) A monatomic ideal gas (γ = 1.67 and ∆U = 3 2 nR∆T) has an initial pressure of 1.2×106 Pa, an initial volume of 4 × 10^-5 m³ , and an initial pressure of 600 K. The gas undergoes an adiabatic expansion to a final volume of 2.4 × 10^-4 m³ . What is the work done by the gas during the expansion?

A. 50.4 J  B. 100.4 J  C. 150.4 J  D. 200.4 J