A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before​ treatment, 19 subjects had a mean wake time of 103.0 min. After​ treatment, the 19 subjects had a mean wake time of 76.3 min and a standard deviation of 23.4 min. Assume that the 19 sample values appear to be from a normally distributed population and construct a 99​% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 103.0 min before the​ treatment? Does the drug appear to be​ effective? Construct the 99​% confidence interval estimate of the mean wake time for a population with the treatment.

what does blank min <u blank < min

Jesse Brimhall is single. In 2018, his itemized deductions were $9,000 before considering any real property taxes he paid during the year. Jesse’s adjusted gross income was $70,000 (also before considering any property tax deductions). In 2018, he paid real property taxes of $3,000 on property 1 and $1,200 of real property taxes on property 2. He did not pay any other deductible taxes during the year.

b.If property 1 is Jesse’s business building (he owns the property) and property 2 is his primary residence, what is his taxable income after taking property taxes into account (ignore the deduction for qualified business income)?

Taxable income

Jay Oullette, CEO of Bumper to Bumper Inc., anticipates that his company's year-end balance sheet will show current assets of $12,774 and current liabilities of $7,480. Oullette has asked your advice concerning a possible early payment of $3,770 of accounts payable before year-end, even though payment isn't due until later.

Required:

1. Calculate the firm’s working capital and current ratio under each situation.
2. Assume that Bumper to Bumper had negotiated a short-term bank loan of $6,000 that can be drawn down either before or after the end of the year. Calculate working capital and the current ratio at year-end under each situation, assuming that early payment of accounts payable is not made

Quikpak sells returnable containers to major food processors. The price received for the containers is $2 per unit. Of this amount $1.25 is profit contribution. Quikpak is considering an attempt to differentiate its product through quality improvement at a cost of $.05 per unit. Current profits are $40,000 on sales of 100,000 units.

(a) Assuming that average variable costs are constant at all output levels, find Quikpak‘s total cost function before the proposed change.

(b) Calculate the total cost function if the quality improvement is implemented.

(c) Calculate Quikpak‘s break-even output before and after the change, assuming it cannot increase its price.

(d) Calculate the increase in sales that would be necessary with the quality improvement to increase profits to $45,000.

Imagine that at some point during the Ice Age a boulder with a mass of 380kg rolls off a cliff and onto a smooth (approximately frictionless) glacier so that just before it hits the glacier its

̂
velocity is ??? = (68m/s)î + (52m/s)k where the z-axis is the positive vertical direction

(perpendicular to the surface of the earth) and the x-axis is parallel to the surface of the earth.

̂1. (a) (4 points) What is this boulder’s initial momentum (just before it hits the glacier) in î, ĵ, k

notation?

̂
(b) (6 points) What is its momentum just after it hits the glacier in î, ĵ, k notation? How do you

know (think about and discuss force directions and conservation of momentum in component form)?

You are studying a plant that requires a period of cold treatment before it will flower. You subject a plant to cold treatment, return it to temperatures favorable for growth, and then compare the chromatin state of the DNA taken from:

(1) meristem cells from a shoot that originated before the cold treatment;

(2) meristem cells from a shoot that developed after the cold treatment;

(3) ovule egg cells from a flower on stem 1;

(4) seeds from a flower on stem 2.

You find that the chromatin states are the same within but differ between which two groups?

1. Two manned satellites approaching one another, at a relative speed of 0.250 m/s, intending to dock. The first has a mass of 4.0010³ kg , and the second a mass of 7.5010³ kg .

a) Consider the frame of reference in which the first satellite was originally at rest. Determine the momentum of the satellites before docking.

2. Determine the Kinetic energy of the satellites before docking.

3. Using conservation of momentum determine the velocity of the satellites after docking.

4. Determine the final Kinetic energy of the system.

5. What is the loss of kinetic energy in this inelastic collision (docking process)?

6. Repeat the calculation by using the frame of reference in which the second satellite was originally at rest. Explain why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both.

Thorpe and Company is currently an​ all-equity firm. It has three million shares selling for ​$32 per share. Its beta is 0.8​, and the current​ risk-free rate is 2.1​%. The expected return on the market for the coming year is 9.1​%. Thorpe will sell corporate bonds for ​$32,000,000 and retire common stock with the proceeds. The bonds are​ twenty-year semiannual bonds with a 9.4​%coupon rate and ​$1,000 par value. The bonds are currently selling for ​$893.61 per bond. When the bonds are​ sold, the beta of the company will increase to 1.3 What was the WACC of Thorpe and Company before the bond​ sale? What is the adjusted WACC of Thorpe and Company after the bond sale if the corporate tax rate is 15%​? Hint​: The weight of equity before selling the bond is​ 100%.

1. A wheel that initially spins at 2 revolutions/sec is braked uniformly to a stop in ½ second. How many revolutions does the wheel make while coming to a stop?

2. If a person has a speed of 3 m/s and is located 2-m from the axis of rotation of a merry-go-round, what is the person's angular velocity?

3. A hockey player with a mass of 46.0 kg is traveling due east with a speed of 2.95 m/s. A second hockey player with a mass of 66.0 kg is moving due south with a speed of 6.95 m/s. They collide and hold on to each other after the collision. Find the direction they travel after the collision given as an angle measured south of east.

4. The Seattle ferris wheel has a radius of 11-m and travels with an angular velocity of 1.5 rad/sec. What is the normal force (apparent weight) acting on a 57-kg person at the bottom of the swing?

5. A 65 kg snowboarder travels down a 37° incline at 6.2 m/s. In order to stop before hitting a tree, the snowboarder quickly turns their board to increase the coefficient of kinetic friction to 1.9. What is the normal force between the snowboarder and the ground?

6. A 65 kg snowboarder travels down a 37° incline at 6.2 m/s. In order to stop before hitting a tree, the snowboarder quickly turns their board to increase the coefficient of kinetic friction to 1.9. What is the friction force between the snowboarder and the ground?

7. A 65 kg snowboarder travels down a 37° incline at 6.2 m/s. In order to stop before hitting a tree, the snowboarder quickly turns their board to increase the coefficient of kinetic friction to 1.9. How far does the snowboarder slide before stopping? Assume the path the snowboarder takes is straight down the slope.