Questions
Air enters a compressor at 20 oC and atmospheric pressure, and exits at 200 oC and...

Air enters a compressor at 20 oC and atmospheric pressure, and exits at 200 oC and 0.8 MPa. The output stream flows at a linear velocity of 2 m/s, through an exit diameter of 10 cm. What is the power input to the compressor? (Answer: 16.7 kW)

In: Other

1. Suppose Joey received an additional $7,000 of disposable income and he saves $700 of it....

1. Suppose Joey received an additional $7,000 of disposable income and he saves $700 of it. His MPC is _____.

A. 0.10

B. 0.70

C. 0.90

D. none of the above

2. Suppose a household has total income of $60,000 and pays $15,000 in taxes. If the MPC is 0.8, then how much is the household’s total consumption?

A. $36,000

B. $45,000

C. $48,000

D. none of the above or not enough information

3. Suppose a household has total income of $60,000 and pays $15,000 in taxes. If the MPC is 0.8, then how much is the household’s total saving?

A. $9,000

B. $12,000

C. $24,000

D. none of the above or not enough information

4. Which of the following could be a cause of consumption decreasing?

A. Real income increases.

B. Interest rates increase.

C. Wealth increases.

D. Expected future income increases.

In: Economics

1313) Given the DEQ y'=1x-y^2*7/10. y(0)=8/2. Determine y(2) by Euler integration with a step size (delta_x)...

1313) Given the DEQ y'=1x-y^2*7/10. y(0)=8/2. Determine y(2) by Euler integration with a step size (delta_x) of 0.2. ans:1

In: Advanced Math

13.If a random sample of 125 items is taken from a population in which the proportion...

13.If a random sample of 125 items is taken from a population in which the proportion of items having a desired attribute is p = 0.16, what is the probability that the proportion of successes in the sample will be more than 0.2?

In: Statistics and Probability

1313) Given the DEQ y'=3x-y^2*7/10. y(0)=9/2. Determine y(2) by Euler integration with a step size (delta_x)...

1313) Given the DEQ y'=3x-y^2*7/10. y(0)=9/2. Determine y(2) by
Euler integration with a step size (delta_x) of 0.2. ans:1

In: Advanced Math

How is the path length difference calculated in objective question 1 of chapter 18 (Physics for...

How is the path length difference calculated in objective question 1 of chapter 18 (Physics for Scientists and Engineers, ninth edition)? Why is it changed by 0.2 m upon sliding the tube up 0.1m?

In: Physics

A company has developed a design for a high-quality portable printer. The two key components of...

A company has developed a design for a high-quality portable printer. The two key components of manufacturing cost are direct labor and parts. During a testing period, the company has developed prototypes and conducted extensive product tests with the new printer. The company's engineers have developed the bivariate probability distribution shown below for the manufacturing costs. Parts cost (in dollars) per printer is represented by the random variable x and direct labor cost (in dollars) per printer is represented by the random variable y. Management would like to use this probability distribution to estimate manufacturing costs.

Parts (x) Direct Labor (y) Total
43 45 48
85 0.2 0.05 0.2 0.45
95 0.25 0.2 0.1 0.55
Total 0.45 0.25 0.3 1.00

(a)

Show the marginal distribution of direct labor cost and compute its expected value (in dollars), variance, and standard deviation (in dollars). (Round your answer for standard deviation to the nearest cent.)

Marginal Distribution of Direct Labor Cost
y

f(y)

yf(y)

y − E(y)

(y − E(y))2

(y − E(y))2f(y)

43
45
48

Var(y) =

E(y) =

σy =

)

Show the marginal distribution of parts cost and compute its expected value (in dollars), variance, and standard deviation (in dollars). (Round your answer for standard deviation to the nearest cent.)

Marginal Distribution of Parts Cost
x

f(x)

xf(x)

x − E(x)

(x − E(x))2

(x − E(x))2f(x)

85
95

Var(x) =

E(x) = dollars

σx = dollars

(c)

Total manufacturing cost per unit is the sum of direct labor cost and parts cost. Show the probability distribution for total manufacturing cost per unit.

z = x + y

f(z)

128
130
133
138
140
143
Total 1.00

(d)

Compute the expected value (in dollars), variance, and standard deviation (in dollars) of total manufacturing cost per unit. (Round your answer for standard deviation to two decimal places.)

expected value dollars

variance 39

standard deviation dollars

(e)

Are direct labor and parts costs independent? Why or why not?

Since the covariance equals , which ---Select---is not equal to zero, we can conclude that direct labor cost ---Select---is not independent of parts cost.

If you conclude that direct labor and parts costs are not independent, what is the relationship between direct labor and parts cost?

There is a positive correlation between the costs of direct labor and parts.

There is a negative correlation between the costs of direct labor and parts.    

The costs of direct labor and parts are independent.

(f)

The company produced 1,500 printers for its product introduction. The total manufacturing cost was $198,450. Is that about what you would expect?

The expected manufacturing cost for 1,500 printers is $ which is ---Select---lower than higher than equal to $198,450.

If it is higher or lower, what do you think may have caused it? (Select all that apply.)

A supplier increased the cost of one of the more common printer parts this company uses in the manufacturing process.At first there was a steep learning curve, but as more printers were manufactured direct labor costs decreased.There was an increase in the cost of direct labor due to an influx of many new employees.The expected manufacturing cost is equal to $198,450.

In: Statistics and Probability

Consider the two assets A and B for which returns (%) under different conditions of economy...

Consider the two assets A and B for which returns (%) under different conditions of economy are given as below.

Returns (%)

State of the Economy

Probability

Stock A

Stock B

Recession

0.1

-16

-12

Above Average

0.2

-3

4

Average

0.4

14

10

Below Average

0.2

28

15

Boom

0.1

35

20

  1. Find the expected return of each asset
  2. Find the risk (as measured by standard deviation of return) of each asset
  3. If an investor decides to invest $8,000 in stock A and $12,000 in stock B, calculate the expected returns of the investor’s portfolio of stocks A and B.
  4. Using the information, calculate the portfolio’s standard deviation if the correlation of the returns between stocks A and B returns is -0.25.

In: Finance

Consider the two assets A and B for which returns (%) under different conditions of economy...

Consider the two assets A and B for which returns (%) under different conditions of economy are given as below.

Returns (%)

State of the Economy

Probability

Stock A

Stock B

Recession

0.1

-16

-12

Above Average

0.2

-3

4

Average

0.4

14

10

Below Average

0.2

28

15

Boom

0.1

35

20

  1. Find the expected return of each asset

  2. Find the risk (as measured by standard deviation of return) of each asset

  3. If an investor decides to invest $8,000 in stock A and $12,000 in stock B, calculate the expected returns of the investor’s portfolio of stocks A and B.

  4. Using the information, calculate the portfolio’s standard deviation if the correlation of the returns between stocks A and B returns is -0.25.

In: Finance

A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion...

A production line operation is tested for filling weight accuracy using the following hypotheses.

Hypothesis Conclusion and Action

H0: μ = 32

Filling okay; keep running.

Ha: μ ≠ 32

Filling off standard; stop and adjust machine.

The sample size is 45 and the population standard deviation is σ = 0.5.  Use  α = 0.05.

(a) What would a type II error mean in this situation?

(b) What is the probability of making a type II error when the machine is overfilling by 0.2 ounces?

(c) What is the power of the statistical test when the machine is overfilling by 0.2 ounces?

(d) Show the power curve for this hypothesis test. What information does it contain for the production manager?

In: Statistics and Probability