Hammering and shaping a hot steel block on an anvil is an example of: a) Open-die forging. b) Closed-die forging. c) Flashless forging. d) Impression die forging.

Resistance spot welding can be used to join sheets of _______ and_______. a) Rubber, steel. b) PVC plastics, copper. c) Stainless steel, leather. d) None of the above.

An advantage of forward extrusion over backward extrusion is: a) Lower pressure. b) Lower force. c) All of the above. d) None of the above.

In a rolling process, if both roller diameters reduce by 25%, then the required power to rotate the rollers would: a) Increase 25%. b) Decrease 25%. c) Increase 50%. d) Decrease 50%.

Which of the following bulk deformation processes are involved in the production of nails for lumber construction? a) Wire drawing, flashless forging, and impression die forging. b) Wire drawing, flashless forging, and rolling. c) Flashless forging, impression die forging, and upsetting. d) Extrusion, flashless forging, and wire drawing

The thickness of each of the two sheets to be resistance spot welded is 3.5 mm. It is desired to form a weld nugget that is 5.5 mm in diameter and 5.0 mm thick after 0.3 sec welding time. The unit melting energy for a certain sheet metal is 9.5 J/mm3 . The electrical resistance between the surfaces is 140 micro ohms, and only one third of the electrical energy generated will be used to form the weld nugget (the rest being dissipated), determine the minimum current level required.

A GTAW operation is performed on low carbon steel, whose unit melting energy is 10.3 J/mm3 . The welding voltage is 22 volts and the current is 135 amps. The heat transfer factor is 0.7 (convection heat loss of 30%) and the melting factor is 0.65 (conduction heat loss of 35%). If filler metal wire of 3.5 mm diameter is added to the operation, the final weld bead is composed of 60% volume of filler and 40% volume base metal. If the travel speed in the operation is 5 mm/sec, determine:

(a) The cross sectional area of the weld bead

(b) The feed rate (mm/sec) at which the filler wire must be supplied.

1)

Assume that the national average score on a standardized test is 1010, and the standard deviation is 200, where scores are normally distributed. What is the probability that a test taker scores at least 1600 on the test?

• Round your answer to two decimal places.

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2)

Assume that the salaries of elementary school teachers in a particular country are normally distributed with a mean of $38,000 and a standard deviation of $4,000. What is the cutoff salary for teachers in the top 7%?

• Use Excel, and round your answer to the nearest dollar.

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3) A cookie manufacturer sells boxes of cookies that claim to weigh 16 ounces on the packaging. Due to variation in the manufacturing process, the weight of the manufactured boxes follows a normal distribution with a mean of 16 ounces and a standard deviation of 0.25 ounce. The manufacturer decides it does not want to sell any boxes with weights below the 1st percentile so as to avoid negative customer responses. What is the minimum acceptable weight, in ounces, of a box of cookies? Round your answer to two decimal places.

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4) The weights of bags of raisins are normally distributed with a mean of 175 grams and a standard deviation of 10 grams. Bags in the upper 4.5% are too heavy and must be repackaged. Also, bags in the lower 5% do not meet the minimum weight requirement and must be repackaged. What are the ranges of weights for raisin bags that need to be repackaged? Use a TI-83, TI-83 plus, or TI-84 calculator, and round your answers to the nearest integer.

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5)

The resistance of a strain gauge is normally distributed with a mean of 100 ohms and a standard deviation of 0.3 ohms. To meet the specification, the resistance must be within the range 100±0.7 ohms. What proportion of gauges is acceptable?

• Round your answer to four decimal places.

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6)

Suppose that the weight of sweet cherries is normally distributed with mean μ=6 ounces and standard deviation σ=1.4 ounces. What proportion of sweet cherries weigh more than 4.7 ounces?

• Round your answer to four decimal places.

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7)

Suppose X∼N(8,1.5), and x=5. Find and interpret the z-score of the standardized normal random variable.

The z-score when x=5 is ___. The mean is ____

This z-score tells you that x=5 is ___ standard deviations to the left of the mean.

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The market is expected to generate a 12% return and the risk free rate is 4%. A portfolio manager has 70% of her capital allocated to stock A with a beta of 0.8, which generated a total return of 11%. 30% of her capital is allocated to stock B with a beta of 1.1, which generated a total return of 12%. What Alpha was generated by the manager by allocating more capital to stock A?

Multiple Choice

0.25%

0.38%

0.18%

0.11%

Perez Company has the following information for the pay period of January 15–31.

Assuming no employees are subject to ceilings for their earnings, calculate Salaries Payable and Payroll Tax Expense.

Instead of assuming that the volume of a condensed phase is constant when pressure is applied, assume only that the compressibility is constant.

1. Show that when the pressure is changed isothermally by ΔP, G changes to

G'=G+VmΔP(1-12κTΔP)

2. Assess the error in assuming that a solid is incompressible by applying this expression to the compression of copper when ΔP = 500 atm. (For copper at 25℃, κT = 0.8*10^-6 atm^-1 and ρ = 8.93 g/cm³.)

Five identical positive charges +49.8 nC are placed equally spaced around a circle of radius 14.8 cm in the xy-plane (i.e. z = 0.0 cm) centred at the origin. (answer to 1 decimal place.)

(a) What is the magnitude of the resultant field at the centre of the circle?

(b) An additional charge +49.8 nC is placed at coordinates (-6.4, 8.4, 0.8) cm. What is the magnitude of the resultant field at the centre of the circle now?

A closed rectangular tank 1.2 m high, 2.4 m long and 1.5 m wide is two-thirds full of gasoline (specic gravity 0.8). Calculate the acceleration which may be imparted to the tank so that the bottom front end of the tank is just exposed. Also calculate the total forces on each end of the tank and show that the dierence between these forces equals the unbalanced force necessary to accelerate the liquid mass in the tank.

Consider the following macroeconomic model: C(t) + I(t) = Y (t) I(t) = 0.8 dC(t) dt C(t) = 0.4Y (t) + 1 where C(t), I(t), Y (t) denote respectively the consumption, investment and national income at time t. Write the differential equation in terms of C(t), find the solution for the differential equation, and draw the phase diagram and comment on the stability.

For H₂O, determine the specified property at the indicated state.

(a) T = 140°C, v = 0.5 m³/kg. Find p, in bar.
(b) p = 30 MPa, T = 120°C. Find v, in m³/kg.
(c) p = 10 MPa, T = 450°C. Find v, in m³/kg.
(d) T = 80°C, x = 0.8. Find p, in bar, and v, in m³/kg.