From the list below, supply the words needed to complete the paragraph. Some words will not be used. paean, aphorism, impermeable, affliction, palpable, lax, daub. Justin began to have second thoughts about his summer job when the temperature rose to ninety degrees. For the third day in a row, he stood on a flimsy ladder and _____ maroon paint onto the side of Mrs. Bailey's house. He wore no gloves today; yesterday, he discovered that the cheap cotton painter's gloves were not _____ when he removed them and found his hands stained maroon. To make matters worse, Mrs. Bailey frequently came outside to ensure that Justin hadn't become _____ on the job. The old _____, "time flies when you're having fun," couldn't have been more applicable to Justin, because each ten-hour day of painting felt like an eternity. If hard work builds character, thought Justin, then he should have a[n] _____ amount of character after this job.

From the list below, supply the words needed to complete the paragraph. Some words will not be used. paean, delete, oust, mendicant, cache, oscillate, palpable. In the late afternoon, Marvin opened the bottom drawer of his desk to reveal a[n] _____ of snack cakes and little bags of potato chips. He helped himself to a cream-filled cupcake as he perused old e-mail messages and _____ any old ones that were just taking up space on the computer's hard drive. A heavy fan _____ in the corner of the office, causing self-adhesive notes and thumb-tacked comic strips to flap around in the breeze every few seconds. Next to the fan was a tied trash bag full of empty aluminum soda cans for Joe, a[n] _____ who lived in the alley behind the magazine publisher. Joe, who chose the streets over shelters, inspired many people at the office, and he had no idea that Marvin's next article was going to be a[n] _____ to the homeless who have learned to sustain themselves despite their austere living conditions.

From the list below, supply the words needed to complete the paragraph. Some words will not be used. chauvinist, ostentatious, beIated, egalitarian. The corporation claimed to endorse _____ company policies, but some of the managers were _____ who refused to promote anyone not native to Scandinavia. One of the foreign employees eventually filed suit against the company, and in two years was awarded the _____ promotion he had long deserved.

Tempe thinks she's pretty skilled at "mouth-catching" (no hands) bits of snack food that have been thrown to her from across a room. She wonders, though, if she's better at catching some foods than others, so she conducts an experiment. A friend tosses 150 pieces of each of three different kinds of snack food (in random sequence) and then records how often Tempe catches the food in her mouth. Here are the results.

$$\begin{array} {lc} & \text{Snack food} \\ \text {Caught?} & \begin{array}{l|c|c|c|c} & \text { Goldfish } & \text { Grapes } & \text { Gummies } & \text { Total } \\ \hline \text { Yes } & 90 & 100 & 115 & 305 \\ \hline \text { No } & 60 & 50 & 35 & 145 \\ \hline \text { Total } & 150 & 150 & 150 & 450 \end{array}\\ \end{array}$$

Use the information in the two-way table to make a segmented bar chart to show the relationship between snack food type and Tempe's catching success.

A multimedia statistics learning system includes a test of skill in using the computer's mouse. The software displays a circle at a random location on the computer screen. The subject clicks in the circle with the mouse as quickly as possible. A new circle appears as soon as the subject clicks in the old one. The table reaction times (in milliseconds) in a computer game gives data for one subject's trials, 20 with each hand. Distance is the distance from the cursor location to the center of the new circle, in units whose actual size depends on the size of the screen. Time is the time required to click in the new circle, in milliseconds. We suspect that time depends on distance. We also suspect that performance will not be the same with the right and left hands. Analyze the data with a view to predicting performance separately for the two hands.

$$\begin{array}{ccc|ccc} \text { TIME } & \text { DISTANCE } & \text { HAND } & \text { TIME } & \text { DISTANCE } & \text { HAND } \\ \hline 115 & 190.70 & \text { right } & 240 & 190.70 & \text { left } \\ \hline 96 & 138.52 & \text { right } & 190 & 138.52 & \text { left } \\ \hline 110 & 165.08 & \text { right } & 170 & 165.08 & \text { left } \\ \hline 100 & 126.19 & \text { right } & 125 & 126.19 & \text { left } \\ \hline 111 & 163.19 & \text { right } & 315 & 163.19 & \text { left } \\ \hline 101 & 305.66 & \text { right } & 240 & 305.66 & \text { left } \\ \hline 111 & 176.15 & \text { right } & 141 & 176.15 & \text { left } \\ \hline 106 & 162.78 & \text { right } & 210 & 162.78 & \text { left } \\ \hline 96 & 147.87 & \text { right } & 200 & 147.87 & \text { left } \\ \hline 96 & 271.46 & \text { right } & 401 & 271.46 & \text { left } \\ \hline 95 & 40.25 & \text { right } & 320 & 40.25 & \text { left } \\ \hline 96 & 24.76 & \text { right } & 113 & 24.76 & \text { left } \\ \hline 96 & 104.80 & \text { right } & 176 & 104.80 & \text { left } \\ \hline 106 & 136.80 & \text { right } & 211 & 136.80 & \text { left } \\ \hline 100 & 308.60 & \text { right } & 238 & 308.60 & \text { left } \\ \hline 113 & 279.80 & \text { right } & 316 & 279.80 & \text { left } \\ \hline 123 & 125.51 & \text { right } & 176 & 125.51 & \text { left } \\ \hline 111 & 329.80 & \text { right } & 173 & 329.80 & \text { left } \\ \hline 95 & 51.66 & \text { right } & 210 & 51.66 & \text { left } \\ \hline 108 & 201.95 & \text { right } & 170 & 201.95 & \text { left } \\ \hline \end{array}$$

From the list below, supply the words needed to complete the paragraph. Some words will not be used. gauche, banter, motley, docile, emaciated, heresy, libation. The actors gathered in the banquet room after the closing night of the hit play. Sounds of lighthearted _____ filled the room; some of the more _____ performers thought nothing of picking two or more cold _____ at a time from the trays of the servers. The players were still in costumes depicting various cultures and historic eras, and arriving guests paused at the door to take in the _____ sight. The company had just completed its twentieth and final show of a successful run, and the performers were happy to relax. The spirited staff, laughing and carousing, became _____ only when the director raised her hands to quiet the room. Anticipating her words of encouragement, none of the actors suspected that she was about to announce her retirement.

Find the error in the following reasoning: “Consider forming a poker hand with two pairs as a five-step process. Step 1: Choose the denomination of one of the pairs. Step 2: Choose the two cards of that denomination. Step 3: Choose the denomination of the other of the pairs. Step 4: Choose the two cards of that second denomination. Step 5: Choose the fifth card from the remaining denominations. There are

$$\left( \begin{array} { c } { 13 } \\ { 1 } \end{array} \right)$$

ways to perform step 1,

$$\left( \begin{array} { l } { 4 } \\ { 2 } \end{array} \right)$$

ways to perform step 2,

$$\left( \begin{array} { c } { 12 } \\ { 1 } \end{array} \right)$$

ways to perform step 3,

$$\left( \begin{array} { l } { 4 } \\ { 2 } \end{array} \right)$$

ways to perform step 4, and

$$\left( \begin{array} { c } { 44 } \\ { 1 } \end{array} \right)$$

ways to perform step 5. Therefore, the total number of five-card poker hands with two pairs is

$$13 \cdot 6 \cdot 12 \cdot 6 \cdot 44 = 247,104$$

."

If a person of mass M simply moved forward with speed V, his kinetic energy would be $\frac{1}{2} M V^{2}$ However, in addition to possessing a forward motion, various parts of his body (such as the arms and legs) undergo rotation. Therefore, his total kinetic energy is the sum of the energy from his forward motion plus the rotational kinetic energy of his arms and legs. The purpose of this problem is to see how much this rotational motion contributes to the person’s kinetic energy. Biomedical measurements show that the arms and hands together typically make up 13% of a person’s mass, while the legs and feet together account for 37%. For a rough (but reasonable) calculation, we can model the arms and legs as thin uniform bars pivoting about the shoulder and hip, respectively. In a brisk walk, the arms and legs each move through an angle of $\pm 30^{\circ}$ about (a total of $60^{\circ}$) from the vertical in approximately 1 second. Assume that they are held straight, rather than being bent, which is not quite true. Consider a 75-kg person walking at 5.0 km/h, having arms 70 cm long and legs 90 cm long. What is the total kinetic energy due to both his forward motion and his rotation?

In the Grimms’ fairy tale Rapunzel, she lets down her golden hair to a length of $20$ yards (we’ll use $20 m$, which is not much different) so that the prince can climb up to her room. Human hair has a Young's modulus of about $490 \mathrm{MPa}$, and we can assume that Rapunzel's hair can be squeezed into a rope about $2.0 \mathrm{~cm}$ in cross-sectional diameter. The prince is described as young and handsome, so we can estimate a mass of $60 \mathrm{~kg}$ for him.
(a) Just after the prince has started to climb at a constant speed, while he is still near the bottom of the hair, by how many centimeters does he stretch Rapunzel's hair?
(b) What is the mass of the heaviest prince that could climb up, given that the maximum tensile stress hair can support is $196 \mathrm{MPa}$?

If a person of mass M simply moved forward with speed V, his kinetic energy would be $\frac{1}{2} M V^{2}$ However, in addition to possessing a forward motion, various parts of his body (such as the arms and legs) undergo rotation. Therefore, his total kinetic energy is the sum of the energy from his forward motion plus the rotational kinetic energy of his arms and legs. The purpose of this problem is to see how much this rotational motion contributes to the person’s kinetic energy. Biomedical measurements show that the arms and hands together typically make up 13% of a person’s mass, while the legs and feet together account for 37%. For a rough (but reasonable) calculation, we can model the arms and legs as thin uniform bars pivoting about the shoulder and hip, respectively. In a brisk walk, the arms and legs each move through an angle of $\pm 30^{\circ}$ about (a total of $60^{\circ}$) from the vertical in approximately 1 second. Assume that they are held straight, rather than being bent, which is not quite true. Consider a 75-kg person walking at 5.0 km/h, having arms 70 cm long and legs 90 cm long. What percentage of his kinetic energy is due to the rotation of his legs and arms?

Hands-on soap bubble experiments are a great way to teach mathematics. In an effort to find the best possible bubble solution, two different soap concentrations were used along with two different amounts of glycerin additive. Students were then given a flat glass plate and a straw and were asked to blow their best bubbles. The diameters of the resulting bubbles (in millimeters) are listed below. Can an interaction be concluded between the soap solution and the glycerin? Is there a difference in the mean length of bubble diameter with respect to the concentration of soap to water? With respect to the amount of glycerin additive? Use $\alpha=0.05$.

$$\begin{array}{|l|l|} \hline &+1\text{ Unit glycerin} &+2\text{ Units glycerin}\\ \hline \text{Soap:water 13:25}&115,113,105,110 & 98,100,90,95\\ \hline \text{Soap:water 1:2}&90,102,100,98 & 99,100,102,95 \\ \hline \end{array}$$

Perform these steps. Assume that all variables are normally or approximately normally distributed, that the samples are independent and that the population variances are equal.

a. State the hypotheses. b. Find the critical value for each $F$ test. c. Complete the summary table and find the test value. d. Make the decision. e. Summarize the results. (Draw a graph of the cell means if necessary.)

Smith, Inc., has the following stockholders’ equity accounts as of January 1, 2021:

Haried Company purchases all of Smith’s common stock on January 1, 2021, for$14,040,000. The preferred stock remains in the hands of outside parties. Any excess acquisition-date fair value will be assigned to franchise contracts with a 40-year remaining life.
 During 2021, Smith reports earning $450,000 in net income and declares$360,000 in cash dividends. Haried applies the equity method to this investment.

a. What is the noncontrolling interest’s share of consolidated net income for this period?
b. What is the balance in the Investment in Smith account as of December 31, 2021?
c. What consolidation entries are needed for 2021?

Mom found an open box of her children's favorite candy bars. She decides to apportion the candy bars among her three youngest children according to the number of minutes each child spend doing homework during the week. (a) Suppose that there were 10 candy bars in the box. Given that Bob did homework for a total of 54 minutes, Peter did homework for a total of 243 minutes, and Ron did homework for a total of 703 minutes, apportion the 10 candy bars among the children using Hamilton's method. (b) Suppose that just before she hands out the candy bars, mom finds one extra candy bar. Using the same total minutes as in (a), apportion now the 11 candy bars among the children using Hamilton's method. (c) Two results of (a) and (b) illustrate one of the paradoxes of Hamilton's method. Which one? Explain.

When astronauts from the Apollo 15 spacecraft landed on the moon, one of the experiments they conducted was to test Galileo's theory that if two objects of different masses are in free fall in a vacuum, they will land at the same time, regardless of their weight. The moon was an ideal place to test this theory, since its gravitational pull is minimal and there is no air resistance. So, one of the astronauts let a hammer and a feather fall from his hands at about $1.22$ metres from the ground, and indeed they landed at the same time! The accele ration due to gravity on the moon is about $1.625 \mathrm{~ms}^{-2}$. This is far less than that on earth, which is about $9.8 \mathrm{~ms}^{-}$.

Write an equation relating an object's acceleration due to gravity on the moon with the rate of change of the object's velocity, $v$. Hence, find a formula for $v$ using the initial condition that at $t=0, v=0$.