Questions in Grade College

Questions in Grade College

[Free] A bag contains 8 red marbles, 9 yellow marbles, and 7 green marbles. How many additional red marbles must be added to the 24 marbles already in the bag so that the probability of randomly drawing a red marble is [tex]$\frac{3}{5}$[/tex]? A. 11 B. 16 C. 20 D. 24 E. 32

[Free] (b) Find the following. Use exact values and not decimal approximations. [tex] \begin{array}{l} \cos \left(\frac{\pi}{3}\right)=\square \\ \cos \left(-\frac{\pi}{3}\right)= \end{array} [/tex] (c) Choose the correct statement. * For any angle [tex]$\theta$[/tex], we have [tex]$\cos (-\theta)=-\cos \theta$[/tex]. (So cosine is an odd function.) * For any angle [tex]$\theta$[/tex], we have [tex]$\cos (-\theta)=\cos \theta$[/tex]. (So cosine is an even function.) * Neither of the above answers are true. (So cosine is neither an odd nor an even function.)

[Free] In a study of the dietary treatment of anemia in cattle, researchers randomly divided 144 cows into four treatment groups. Group A was a control group, and groups B, C, and D received different regimens of dietary supplementation with selenium. After a year of treatment, blood samples were drawn and assayed for selenium. The accompanying table shows the mean selenium concentrations ($mg / d / Li$). The $SS_{E} (= SS_{\text {within }})$ from the ANOVA was 289.940. | Group | A | B | C | D | | :---- | :-- | :-- | :-- | :-- | | Mean | 0.8 | 5.4 | 6.2 | 5.0 | | $n$ | 36 | 36 | 36 | 36 | Answer the following questions. (a) What's the TOTAL degrees of freedom, i.e., $df_{\text {total }}$? (b) What's the ERROR degrees of freedom, i.e., $df_{\text {error }}$? A. 143; 140 B. 144; 140 C. 143; 36 D. 143; 4

[Free] What does photosynthesis provide that serves as the starting point for cellular respiration? A. Carbon dioxide B. Oxygen and glucose C. Oxygen, carbon dioxide, and water D. Oxygen and water

[Free] Multiply. (x-3)(x-8) =

[Free] Jafar is an author who has one year to write two books. The first book, a paperback romance novel, will probably be a strong seller. The other book is a serious philosophical novel and is likely to be a poor seller. Jafar wants to invest no more than 4 months of his time writing the serious novel and at least twice as much time working on the romance novel than the serious novel. Let [tex]$x$[/tex] be the time to spend writing the romance novel, and let [tex]$y$[/tex] be the time to spend writing the serious novel. Which system of inequalities describes Jafar's writing strategy? [tex]\begin{array}{l} x+y \leq 12 \\ y \leq 4 \\ x\ \textgreater \ 7 v \end{array}[/tex]

[Free] Which of Laura's misquoted idioms from "Daughter of Invention" is intended to mean that it makes no difference to her? A. "green behind the ears," B. "When in Rome, do unto the Romans." C. "It's half of one or two dozen of another." D. "...one of these days my ship would pass me by in the night!"

[Free] Factors of production that cannot be varied A. building B. capital C. variable factors D. fixed factors

[Free] The table below shows the amount of money spent on skin diving and scuba equipment in some recent years. | Year | Sales ($millions) | |---|---| | 1993 | 315 | | 1994 | 322 | | 1995 | 328 | | 1996 | 340 | | 1998 | 345 | | 1999 | 363 | Let x represent the year and y represent the amount of sales, in millions of dollars, in the regression equation: [tex]y=7.36 x-14,354.33[/tex]. Use the regression equation to predict the sales of skin diving and scuba equipment in the year 2008. A. $44,000,000 B. $440,000,000 C. $42,455,000 D. $424,550,000

[Free] Which of the following can result from inflation in the United States? A. Currency exchange rates remain the same. B. Investors buy products in other countries. C. The price of goods in the United States falls. D. The value of the U.S. dollar increases.