A Liquid mixture of mixture of 2‐propanol (P) and methane (M) is in equilibrium with its vapor at 65ºC. Use excel to calculate and present the system pressure and the liquid composition for vapor compositions of ym=0, 0.1, 0.15, 0.2, … 0.95,1.0.

Assume Raoult’s Law and Use the following information to answer the question.
p*(kPa) and T (ºC)

Ln(p*P)=16.6796‐3640.2/(T+219.61)
Ln(p*m)=16.5785‐3638.27/(T+239.5)

let the random variable x follow a normal distribution with μ = 50 and σ2 = 64.

a. find the probability that x is greater than 60.

b. find the probability that x is greater than 35 and less than 62

. c. find the probability that x is less than 55.

d. the probability is 0.2 that x is greater than what number?

e. the probability is 0.05 that x is in the symmetric interval about the mean between which two numbers?

1. The following data pertain to April operations for Schnitzels Company:

         Unit sold                                                90.000

         Unit produced                                        100.000

         Sales price per unit                                $ 12

                                   Fixed                            Variable

Materials                     -                               $2    per unit produced

Direct Labor                -                                 1.5 per unit produced

Factory Overhead $200.000                      $0.5 per unit produced

Marketing and Administrative       0.2 per unit sold

$140.000

       Required:

       Prepare an operating income statement for 20A using direct costing    

et the random variable x follow a normal distribution with μ = 50 and σ² = 64.

a. find the probability that x is greater than 60.

b. find the probability that x is greater than 35 and less than 62 .

c. find the probability that x is less than 55.

d. the probability is 0.2 that x is greater than what number?

e. the probability is 0.05 that x is in the symmetric interval about the mean between which two numbers?

how do I figure this? please give examples with explanation. I am at a loss

Danny hired Suzy as a consultant. she reports the following:

should price increase, decrease or stay the samem

Product: chili, price elasticity-5.
product: soft drink, price elasticity 1
product: beef stew, price elasticity -0.25
product: salad, price elasticity -.036
product: brownie, price elasticity-5.1
product: fried chicken, -0.2

•The rotor impedance at standstill of a three-phase, Y-connected, 208-V, 60Hz, 8-pole, wound-rotor induction motor is 0.1 + j0.5 Ω/phase. •Determine the breakdown slip, (0.2) the breakdown (maximum) torque, (458.37 Nm) and the power developed by the motor at maximum torque (34.6kW). •What is the starting torque of this motor? (176.3 Nm) •Determine the resistance that must be inserted in series with the rotor circuit so that the starting torque is 50% of the maximum torque. (0.034Ω)

When an airbag explodes, there are 3 different types of reactions that occur. Sodium azide produces nitrogen gas but there is a bi-product of Na. Na is very reactive and must be neutralized. For this, potassium nitrate is used. This creates two further compounds, sodium oxide and potassium oxide, which must be neutralized by silicon dioxide.

Chemical reactions:

1. Sodium Azide is ignited. Nitrogen gas fills nylon bag at 150-250 miles/hr

NaN₃ ? N₂ + Na

2. Reaction with potassium nitrate (1st stage to eliminating dangerous by-products)

Na + KNO₃ ? N₂ + Na₂O + K₂O

3. Reaction with sodium and potassium oxide to form silicate glass (2nd stage to eliminating dangerous by-products)

K₂O + SiO₂ ? K₄SiO₄ Na₂O + SiO₂ ? Na₄SiO₄

A typical 60L airbag requires 5.82 moles of nitrogen gas to fill it up. A manufacturer puts 65.0 g of SiO₂ in an airbag. Using stoichiometry, we are going to find out how many grams of SiO₂ is required to completely neutralize the dangerous by-products of the airbag reaction & conclude whether 65.0 g is enough.

PART A:

1. Use stoichiometry to calculate the number of moles of sodium produced by the first reaction if 378.3g of NaN₃ is used. SHOW ALL YOUR WORK & BE NEAT!! Use significant figures where appropriate.

NaN₃? N₂+Na

PART B:

2. Sodium is very reactive and must be neutralized. Using the number of moles of Na produced from the first reaction, calculate using stoichiometry. SHOW ALL YOUR WORK & BE NEAT!! Use significant figures where appropriate.

Na + KNO3 ? N2 + Na2O + K2O

2a) how many moles of Na2O are created?

2b) how many moles of K2O are created?

PART 3 ; SHOW ALL YOUR WORK AND BE NEAT.

The products Na₂O + K₂O are also dangerous, and must further be neutralized by SiO₂ to produce K₄SiO₄ and Na₄SiO₄

3a) What mass of SiO₂ would be required in order to fully react with all of the of K₂O from question (2)?

K₂O + SiO2 ? K₄SiO₄

3b) What mass of SiO₂ would be required in order to fully react with all of the of Na₂O from question (2)

Na2O + SiO2 ? Na₄SiO₄

4. How much SiO₂ is needed in total? Was 65 g of SiO₂ enough?

Ramp metering is a traffic engineering idea that requires cars entering a freeway to stop for a certain period of time before joining the traffic flow. The theory is that ramp metering controls the number of cars on the freeway and the number of cars accessing the freeway, resulting in a freer flow of cars, which ultimately results in faster travel times. To test whether ramp metering is effective in reducing travel times, engineers conducted an experiment in which a section of freeway had ramp meters installed on the on-ramps. The response variable for the study was speed of the vehicles. A random sample of 15 cars on the highway for a Monday at 6 p.m. with the ramp meters on and a second random sample of 15 cars on a different Monday at 6 p.m. with the meters off resulted in the following speeds (in miles per hour).

Does there appear to be a difference in the speeds?

A.Yes, the Meters Off data appear to have higher speeds.

B.Yes, the Meters On data appear to have higher speeds.

C.No, the box plots do not show any difference in speeds.

Are there any outliers?

A.Yes, there appears to be a high outlier in the Meters On data.

B.No, there does not appear to be any outliers.

C.Yes, there appears to be a low outlier in the Meters On data.

D.Yes, there appears to be a high outlier in the Meters Off data.

Are the ramp meters effective in maintaining a higher speed on the freeway? Use the alphaαequals=0.01 0.01 level of significance. State the null and alternative hypotheses. Choose the correct answer below.

Determine the P-value for this test.

Choose the correct conclusion

A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms.

State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.

Determine the P-value for this hypothesis test.(round to 3 decimals)

State the appropriate conclusion. Choose the correct answer below.

The data is

Carpeted: 15.3,12.9,10.2,6.9,15.6,12.7,10.6,14.6

Uncarpeted;8.7,10,11.2,10.7,14,6.9,6.4,11.1

Ramp metering is a traffic engineering idea that requires cars entering a freeway to stop for a certain period of time before joining the traffic flow. The theory is that ramp metering controls the number of cars on the freeway and the number of cars accessing the freeway, resulting in a freer flow of cars, which ultimately results in faster travel times. To test whether ramp metering is effective in reducing travel times, engineers conducted an experiment in which a section of freeway had ramp meters installed on the on-ramps. The response variable for the study was speed of the vehicles. A random sample of 15 cars on the highway for a Monday at 6 p.m. with the ramp meters on and a second random sample of 15 cars on a different Monday at 6 p.m. with the meters off resulted in the following speeds (in miles per hour).

Does there appear to be a difference in the speeds?

A.Yes, the Meters Off data appear to have higher speeds.

B.Yes, the Meters On data appear to have higher speeds.

C.No, the box plots do not show any difference in speeds.

Are there any outliers?

A.Yes, there appears to be a high outlier in the Meters On data.

B.No, there does not appear to be any outliers.

C.Yes, there appears to be a low outlier in the Meters On data.

D.Yes, there appears to be a high outlier in the Meters Off data.

Are the ramp meters effective in maintaining a higher speed on the freeway? Use the alphaαequals=0.01 0.01 level of significance. State the null and alternative hypotheses. Choose the correct answer below.

Determine the P-value for this test.

Choose the correct conclusion

A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms.

State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.

Determine the P-value for this hypothesis test.(round to 3 decimals)

State the appropriate conclusion. Choose the correct answer below.

The data is

Carpeted: 15.3,12.9,10.2,6.9,15.6,12.7,10.6,14.6

Uncarpeted;8.7,10,11.2,10.7,14,6.9,6.4,11.1

Do a two-sample test for equality of means assuming unequal variances. Calculate the p-value using Excel.

(a-1) Comparison of GPA for randomly chosen college juniors and seniors:

x¯1x¯1 = 4.75, s₁ = .20, n₁ = 15, x¯2x¯2 = 5.18, s₂ = .30, n₂ = 15, α = .025, left-tailed test.
(Negative values should be indicated by a minus sign. Round down your d.f. answer to the nearest whole number and other answers to 4 decimal places. Do not use "quick" rules for degrees of freedom.)

(a-2) Based on the above data choose the correct decision.

• Do not reject the null hypothesis

• Reject the null hypothesis

(b-1) Comparison of average commute miles for randomly chosen students at two community colleges:

x¯1x¯1 = 25, s₁ = 5, n₁ = 22, x¯2x¯2 = 33, s₂ = 7, n₂ = 19, α = .05, two-tailed test.
(Negative values should be indicated by a minus sign. Round down your d.f. answer to the nearest whole number and other answers to 4 decimal places. Do not use "quick" rules for degrees of freedom.)
  

(b-2) Based on the above data choose the correct decision.

• Reject the null hypothesis

• Do not reject the null hypothesis

(c-1) Comparison of credits at time of graduation for randomly chosen accounting and economics students:

x¯1x¯1 = 150, s₁ = 2.8, n₁ = 12, x¯2x¯2 = 143, s₂ = 2.7, n₂ = 17, α = .05, right-tailed test.
(Negative values should be indicated by a minus sign. Round down your d.f. answer to the nearest whole number and other answers to 4 decimal places. Do not use "quick" rules for degrees of freedom.)

(c-2) Based on the above data choose the correct decision.

• Reject the null hypothesis

• Do not reject the null hypothesis