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 = 2.9. (Round your answers to two decimal places.)

(a) Compute a 95% CI for μ when n = 25 and x = 52.6.

  ,

watts

(b) Compute a 95% CI for μ when n = 100 and x = 52.6.

  ,

watts

(c) Compute a 99% CI for μ when n = 100 and x = 52.6.

  ,

watts

(d) Compute an 82% CI for μ when n = 100 and x = 52.6.

  ,

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 =

--Suppose a ray of light travels from air into water.  

a. If the air has an index of refraction of n = 1.0, and the light enters the water with an angle of 55 degrees to the normal, and the refracted angle is 38 degrees from the normal, what is the index of refraction of the water?

b. Can total internal reflection occur when the light ray passes from the air to the water? Why or why not?

--Which of the following statements are correct?

a.For both concave and convex mirrors the virtual image is always behind the mirror.

b.The virtual image formed by a concave mirror is erect, reduced.

c.The virtual image formed by a convex mirror is inverted, enlarge.

d.For both converging and diverging lenses the virtual image is always on the same side of the object.

e. The virtual image formed by a converging lens is erect, reduced.

f.The virtual image formed by a diverging lens is inverted, enlarged.

1. The experimental results in the table below represent real values from an experiment on the cat soleus muscle. For our purposes we will assume the muscle weighs 4 grams and is shaped like a cylinder that is 1 cm² in cross-sectional area.

2. a Draw and label the force-velocity curve for this muscle in the graph on the right. Make sure you label and scale all axes.

2b. Draw a second line that is the power-velocity curve. (Hint: watch your units here!!)

Please answer and draw both curves and give explanation. Will give great review.

An aluminium oxalate complex was prepared by dissolving aluminium metal in potassium hydroxide, followed by reaction with oxalic acid. The resulting complex was analysed for oxalate content by titration against potassium permanganate:

A 0.1105 g sample of the aluminium oxalate complex was dissolved in deionized water (30 cm³) and bench dilute (2 M) sulphuric acid (10 cm³) added. The resulting solution was heated to about 60 ºC and titrated against standardized potassium manganate (VII) solution. 14.35 cm³ of a 0.02 mol dm^-3 KMn0₄ solution was required.

                        (i)        Write out a balanced equation for the overall redox process.

                        (ii)       Use the analytical data to deduce if the prepared complex was K₃Al(C₂O₄)₃.3H₂O or KAl(C₂O₄)₂(H₂O)₂.2H₂O

                        Molar masses /g mol^-1

                        K, 39.00; Al, 26.98; C, 12.01; O, 16.00; H, 1.0

1. A 15.00 gram sample of ammonium chloride was dissolved in 100.00 grams of water. How much heat is produced by the dissolution (absorbed from the solution) if the solution temperature goes from 22.0 *C to 1.0 *C. The specific heat of the solution is 4.18 J/g*C

2. 300.0 mL of a 2.500 M Solution X was mixed with 300.0 mL of a 2.500 M Solution Y in a calorimeter. Both of the solutions were at the same temperature initially. Determine the heat of neutralization (kj/mole) if the temperature goes from 12.0 *C to 29.0 *C. Assume a molar ratio of 1:1. The specific heat of the solution is 4.281 J/ g*C. The density of the mixture is 1.050 g/mL.

3. Sketch a crude time-temperature graph for an endothermic reaction

4. Why, on an exothermic time-temperature graph, does the temperature eventually fall?

The mass of Uranus is 8.68 x 10²⁵ kg. That’s 14.536 times more than the mass of Earth.

What is the difference between the forces due to Uranus on a 1.0 kg mass located at the near side of Titania and at the far side of Titania? Titania has a mean radius of 789 km and a mean orbital radius about Uranus of 436,300 km. (Enter the magnitude in newtons.)

Compare this difference to the difference for Earth due to the Moon, 0.22 ✕ 10⁻⁵ N. (Tidal forces are the cause of volcanic activity on some moons.)

Calculate the mass (in kg) of the Sun based on data for Uranus's orbit. (Use G = 6.67 ✕ 10⁻¹¹ N · m²/kg² in your calculations. Round your answer to at least four significant figures.)

Compare the above calculated value with the Sun's actual mass. (Round your answer to at least three decimal places.)

Assume that you have the following information:- Market Info:- Real interest rate = 2.0%; Expected inflation = 4.0%; Rm = 12.0%; Tax = 30.0%. Com. Stock info:- Par value = $1.0 ; Market value (price) = ?? ; Beta = 1.60 ; No. of outstanding shares = 1,000,000.0 ; EPS $3.0 ; pay-out ratio = 30.0%; Growth in EPS & Dividends = 5.0% ; Preferred Stock info:- Par value = $100.0; Dividend per share = 10.0%; Rp=8.0%; No. of outstanding shares = 100,000.0; Price = ???? Bonds info:- Par value = $1,000.0; Coupon interest = 4.0% ; YTM = 6.0%; Time to maturity = 20 years ; No. of bonds = 100.0; Price = ??? 1- Calculate the WACC using historical weights in the capital structure. 2 - Calculate the WACC using market weights in the capital structure.

*****please show your solution step by step

***show formulas used and equations instead of tables

Assume that you have the following information:-

Market Info:- Real interest rate = 2.0%; Expected inflation = 4.0%; Rm = 12.0%; Tax = 30.0%.

Com. Stock info:- Par value = $1.0 ; Market value (price) = ?? ; Beta = 1.60 ; No. of outstanding shares = 1,000,000.0 ; EPS $3.0 ; pay-out ratio = 30.0%;

Growth in EPS & Dividends = 5.0% ;

Preferred Stock info:- Par value = $100.0; Dividend per share = 10.0%; Rp=8.0%; No. of outstanding shares = 100,000.0; Price = ????

Bonds info:- Par value = $1,000.0; Coupon interest = 4.0% ; YTM = 6.0%; Time to maturity = 20 years ; No. of bonds = 100.0; Price = ???

The market values for bonds, pref., & comm. in your example were chosen as $1,050.0; $2.0; $3.0.

1- Calculate the WACC using historical weights in the capital structure.

2 - Calculate the WACC using market weights in the capital structure.

Consider the following simplified APT model:

Consider a portfolio with equal investments in stocks P, P², and P³. Assume r_f = 5%.

a. What are the factor risk exposures for the portfolio? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 3 decimal places.)

b. What is the portfolio’s expected return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)

Expected return             %

1. The risk-free rate, S&P 500 index, and the average return, standard deviation, beta, and residual standard deviation for three funds are given.

1. Figure out the M² measure for Fund A and B.
2. Figure out the best fund based on the information ratio.

2. Use the following table.

1. Figure out your portfolio return and the total extra return.
2. Figure out the contribution of security/sector selection.