A bubble is sphere with 10 mm radius and a density of 1.0 kg/m^3.

This goes up in a glass of water which has Pwater=0.95 g/cm^3.

It starts at the bottom of a glass which is 10 cm tall.

Cd=0.8

Hypothesize how long it would take the bubble to rise to the top of the glass.

Draw a complete force diagram of the bubble, including weight, buoyancy and drag forces. Make sure your coordinate axis points in the direction of positive acceleration.

Write down the equation of motion in the vertical direction, and solve for the terminal speed of the bubble when these forces are in balance.

Assuming the bubble mostly travels at this terminal speed, how much time does it take to get to the top of the glass?

1. You want to study the relationship between fat intake (g/day) and death rate in the Central Valley. Your friend, from PH 109, suggests that you conduct an ecological study first. You found the data and summarized it below. What is the association between fat intake (g/day) and death rate? Explain the ecological fallacy. Please show your scatter plot. (3 points)

The following summary data relate to the operations of Beckett Company for July, during which 12,000 finished units were produced: Direct material: Standard (0.8 lb. @ $6.00/lb.) Actual (8,500 lb. @ $6.25/lb.) Direct labor: Standard (1 hr. @ $16.00/hr.) Actual (12,700 hrs. @ $15.60/hr.) Variable overhead: Standard (1 hr. @ $10.00/hr.) Actual ($121,000) Required: Compute the following variances and indicate whether each is favorable (F) or unfavorable (U). 1. Materials price variance 2. Materials efficiency variance 3. Labor rate variance 4. Labor efficiency variance 5. Variable overhead spending variance 6. Variable overhead efficiency variance

Researchers at the University of South Alabama compared the attitudes of male college students towards their fathers with their attitudes toward their mother. Each of a sample of 13 males was asked to give a numerical grade to describe his relationship with his father and a numerical grade to describe his relationship with his mother, with 1 being the lowest and 5 being the highest. The result is reported as follows:

Assuming that the data is Normal, construct a 99% confidence
interval for the difference between male college students' attitude between their father and mother. Round your answer to 3 decimal places.

Group of answer choices

(-1.183,-0.563)

(-0.529,0.071)

(-1.336,0.736)

(-1.183,0.563)

(-1.343,0.743)

A company XYZ needs 1 million € worth of funds. It issues bonds

worth 100,000 €. Each bond has a par value of 1000 € and a coupon

rate of 5% each year for 10 years. The current market price of the

bond is 850 €. Remaining amount company raises by selling shares.

The required rate of return on its shares is 8% and the marginal tax

rate is equal to 20%. Calculate the WACC?

part b):

BB industries’ share has a beta of 0.8. The risk-free rate is 4% and the

expected return on the market is 12%. BB industries is funding 60% of

its investments from shares and the rest from bonds. The marginal tax

rate is equal to 15%. The yield to maturity on its bonds is 7%.

Calculate the WACC.

A population of male university students has a distribution of
weights and heights that follow a bivariate normal distribution. The distribution of weights
it has an average of 72 kg and a standard deviation of 8 kg. The height distribution has an average of 170 cm and deviation
standard 10 cm. The correlation coefficient between weights and heights is 0.8. Using these
information calculate:
a) The probability of a boy's weight being between 70 and 80 kg.
b) The probability that a boy's weight is between 70 and 80 kg since his height is 180
cm.
c) The probability of a boy's height being between 175 and 185 cm.
d) The probability of a boy's height being between 175 and 185 cm given that his weight is 80
kg.

From the following information from the payroll register of Veronica's Auto Supply Store, calculate the amount of taxable earnings for unemployment and FICA tax, and prepare the journal entry to record the employer's payroll taxes as of April 30, 20--. Social Security tax is 6.2% on the first $94,200 of earnings for each employee. Medicare tax is 1.45% of gross earnings. FUTA tax is 0.8%, and SUTA tax is 5.4% each on the first $7,000 of earnings.

The following month of April (30 days) financial information was reported by three furniture building companies. Calculate the cash-to-cash cycle time for each of the following furniture building companies: Craig Custom Couch Builders, Tom's Tables, and Jefferson Emerald Design. Which company managed its cash flow best in April?