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Veronica Collier

Veronica C.

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Ramesh Rajak verified

Numerade educator

According to the University of Nevada Center for Logistics Management, 6$\%$ of all merchandise sold in the United States gets returned (Business Week, January $15,2007 ) . \mathrm{A}$ Houston department store sampled 80 items sold in January and found that 12 of the items were returned. a. Construct a point estimate of the proportion of items returned for the population of sales transactions at the Houston store. b. Construct a 95$\%$ confidence interval for the porportion of returns at the Houston store. c. Is the proportion of returns at the Houston store significantly different from the returns for the nation as a whole? Provide statistical support for your answer.

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Darshan Maheshwari verified

Numerade educator

A car rental company offers two plans for renting a car. Plan A: $\$ 30$ per day and $\$ 0.18$ per mile Plan B: $\$ 50$ per day with free unlimited mileage How many miles would you need to drive for plan B to save you money?

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Ashwin Banarsee verified

Numerade educator

A golf ball is dropped from rest from a height of 9.50 $\mathrm{m} .$ It hits the pavement, then bounces back up, rising just 5.70 $\mathrm{m}$ before falling back down again. A boy then catches the ball on the way down when it is 1.20 $\mathrm{m}$ above the pavement. Ignoring air resistance, calculate the total amount of time that the ball is in the air, from drop to catch.

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A random sample of students who use the college recreation center were asked if they approved increasing student fees for all students in order to add a climbing wall to the recreation center. Describe the sample frame. Does the sample frame include all students enrolled in the college? Explain.

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C D verified

Numerade educator

Define statistics.

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INSTANT ANSWER

Let $P$ be a point at a distance $d$ from the center of a circle of radius $r .$ The curve traced out by $P$ as the circle rolls along a straight line is called a trochoid. (Think of the motion of a point on a spoke of a bicycle wheel.) The cycloid is the special case of a trochoid with $d=r .$ Using the same parameter $\theta$ as for the cycloid and, assuming the line is the $x$ -axis and $\theta=0$ when $P$ is at one of its lowest points, show that parametric equations of the trochoid are $$x=r \theta-d \sin \theta \quad y=r-d \cos \theta$$ Sketch the trochoid for the cases $d < r$ and $d > r.$

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A curving freeway exit has a radius of 50.0 $\mathrm{m}$ and a posted speed limit of 35 $\mathrm{mi} / \mathrm{h} .$ What is your radial acceleration (in $\mathrm{m} /\mathrm{s}^{2} )$ if you take this exit at the posted speed? What if you take the exit at a speed of 50 $\mathrm{mi} / \mathrm{h} ?$

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Hubert Agamasu verified

Numerade educator

Emily challenges her friend David to catch a dollar bill as follows. She holds the bill vertically, as shown in Figure P2.40, with the center of the bill between David's index finger and thumb. David must catch the bill after Emily releases it without moving his hand downward. If his reaction time is 0.2 s, will he succeed? Explain your reasoning.

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David Mccaslin verified

Numerade educator

Use the graph, which shows the average retail prices of 1 gallon of whole milk from 1996 to 2007. Approximate the highest price of a gallon of whole milk shown in the graph. When did this occur?

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Paul Gabriel verified

Numerade educator

(I) A centrifuge rotor has a moment of inertia of $3.25 \times 10^{-2} kg\cdot m^2$. How much energy is required to bring it from rest to 8750 rpm?

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