A CI is desired for the true average stray-load loss μ (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with σ = 2.2. (Round your answers to two decimal places.)

(a) Compute a 95% CI for μ when n = 25 and x = 54.9

(         ,         )watts

(b) Compute a 95% CI for μ when n = 100 and x = 54.9.

(c) Compute a 99% CI for μ when n = 100 and x = 54.9.

(         ,       )watts

(d) Compute an 82% CI for μ when n = 100 and x = 54.9.

(     ,     )watts

(e) How large must n be if the width of the 99% interval for μ is to be 1.0? (Round your answer up to the nearest whole number.)
n =

How to make solutions

Choose the correct formula from above. Please show all the steps and be sure to clearly show what values are being using relating to the formula.

1. Calculate the amount of 0.01M KMnO₄ solution and the amount of dH₂O needed to make 10 ml each of the following solutions:

Parallel Dilution Technique

We’re going to titrate formic acid with the strong base, NaOH. There is initially 100. mL of 0.50 M formic acid and the concentration of NaOH is 1.0 M.

A. What is the initial pH of the formic acid solution?

B. What is the percent ionization under initial conditions?

C. After the addition of 10 mL of NaOH, what is the pH?

D. After the addition of 25 mL of NaOH, what is the pH? Think about where in the titration this brings you.

E. What volume of NaOH is required to reach the equivalence point?

F. What is the pH at the equivalence point?

G. What is the pOH at the equivalence point?

H. If, instead of NaOH being added, 0.05 moles of HCl is added by bubbling the gas through the solution. Assume that the volume has not changed. What is the percent dissociation of formic acid?

Sorry! i know its alot

1. Complete Table 1 by calculating the volume of 2.0 mg/mL myoglobin, 6.0 M GuHCl, and 0.5 M phosphate buffer needed to make the 15 solutions needed for the experiment.

A Portland Cement Concrete (rigid) pavement is to be designed using AASHTO empirical design method. The pavement should have an 8" granular sub-base having elastic modulus (E_sb) of 50x10³ psi. The resilient modulus of the subgrade is 5000 psi, and lying just 5 feet above rock strata (bed rock).

(a) Determine the design k value, assuming loss of support factor (LSF) of 2.

(b) Use the k value obtained from (a) to determine the thickness of the rigid pavement.  

Assume concrete elastic modulus (E_c) = 5 x 10⁶ psi , Modulus of rupture (Sc) = 650 psi, load transfer factor J = 3.2, drainage coefficient C_d = 1.0, present serviceability loss ∆PSI = 4.2 — 2.5 = 1.7, reliability R = 95%, standard deviation S_o = 0.29, and total ESAL W₁₈ = 5.1 x 10⁶.

Consider the following cash flows:

Year 0 1 2 3 4 5 6

Cash Flow -$10,000 $2,200 $3,300 $2,500 $2,500 $2,300 $2,100

A. Payback The company requires all projects to payback within 3 years. Calculate the payback period. Should it be accepted or rejected?

B. Discounted Payback Calculate the discounted payback using a discount rate of 10%. Should it be accepted or rejected?

C. IRR Calculate the IRR for this project. Should it be accepted or rejected?

D. NPV Calculate the NPV for this project at a rate of 10%. Should it be accepted or rejected?

E. PI Calculate the Profitability Index (PI) for this project. Should it be accepted or rejected?

There are two common formulas for the profitability Index:

PV of Future Cash Flows/Initial Cost, accept if PI > 1.0 or NPV/ Initial Cost, accept if PI > 0

2. A pump delivers 30o C water from a supply reservoir to an elevated storage tank at a discharge rate of 120 litres/sec. At this discharge the manufacturer’s data indicates the net positive suction head (NPSH) for the pump is 6.0 m. The water surface elevation difference between the reservoir and the tank is 45.0 m. The total length of pipe between the two is 150.0 m, 10.0 m of which is located on the suction side of the pump. Minor loss coefficients in the 10.0 m suction pipe total to 3.7. The pipe material is ductile iron and has an inside diameter of 35.0 cm. If the pump is located 1.0 m to 3.0 m above the water surface in the supply reservoir (the height of the pump above the water surface varies because the water surface in the reservoir can vary), will the pump be susceptible to cavitation?

Suppose that you are given the task of determining the SCN^- content of a blood sample by forming the Fe(SCN)²⁺ complex and measuring the absorbance. You begin by taking a 10.00-mL volume of the blood sample, centrifuging it, transferring 0.50 mL of the clear serum to a flask, and then adding 15.00 mL of 0.20M Fe³⁺. The %T of this solution, measured at 460 nm in a 1.0-cm diameter cuvet, is 75%. A calibration curve, prepared from Fe(SCN)²⁺ standards, indicates that the Fe(SCN)²⁺ concentration of the diluted sample solution is 0.033 mM. Calculate the SCN^- content (in mM) of the original blood sample.

(Atomic weight of Fe = 55.85 g/m; formula weight of SCN^- = 58.08 g/m)

A) 0.033 mM                                                                              

B) 0.33 mM                                             

C)0.40 mM

D) 0.82 mM         

E) 1.02 mM

Assume that security returns are generated by the single-index model,

R_i = α_i + β_iR_M + e_i

where R_i is the excess return for security i and R_M is the market’s excess return. The risk-free rate is 3%. Suppose also that there are three securities A, B, and C, characterized by the following data:

a. If σ_M = 20%, calculate the variance of returns of securities A, B, and C.

A:

B:

C:

b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)

Mean Variance

A:

B:

C: