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Questions in Grade College

📝 Answered - The theoretical probability of a couple having a baby girl is [tex]$\frac{1}{2}$[/tex]. What is [tex]$P$[/tex](girl, girl, girl)? A. [tex]$\frac{1}{8}$[/tex] B. [tex]$\frac{1}{6}$[/tex] C. [tex]$\frac{1}{3}$[/tex] D. [tex]$\frac{3}{8}$[/tex]

📝 Answered - Which is equivalent to [tex]$\sqrt[5]{1,215}^x$[/tex]? A. [tex]$243^x$[/tex] B. [tex]$1,215^{\frac{1}{5} x}$[/tex] C. [tex]$1,215^{\frac{1}{5 x}}$[/tex] D. [tex]$243^{\frac{1}{x}}$[/tex]

📝 Answered - Find the average rate of change for $f(t)=e^t-13$ from $t=0$ to $t=5$. Leave your answer in exact form. Do not use decimals. The average rate of change is $\square$.

📝 Answered - Consider the following function: [tex]f(x)=x^2-3 x+9[/tex] Find the first and second derivatives. [tex] \begin{array}{l} f^{\prime}(x)=\square \\ f^{\prime}(x)=\square \end{array} [/tex] Find any values of [tex]c[/tex] such that [tex]f^{\prime \prime}(c)=0[/tex]. (Enter your answer as a comma-separated list. If any answer does not exist, enter DNE.) [tex]c=\square[/tex] Determine the open intervals on which the graph of the function is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) concave upward [tex]\square[/tex] concave downward [tex]\square[/tex]

📝 Answered - Which soil classification tends to be cohesive and includes clay, cemented soils, and hardpan? A. Solid Rock B. Type A C. Type B D. Type C

📝 Answered - For every positive integer $n$, construct a group containing elements $g, h$ such that $|g|=2,|h|=2,|g h|=n$. (Hint: For $n>1, D_{2 n}$ will do.)

📝 Answered - Sketch a graph of the following polynomial. Identify local extrema, inflection points, and [tex]$x$[/tex]- and [tex]$y$[/tex]-intercepts when they exist. [tex]$f(x)=(x+6)(x-6)^2$[/tex] Determine the local extrema. Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice. A. The local maximum/maxima is/are at the point(s) (-2,256) and the local minimum/minima is/are at the point(s) (6,0). B. The local maximum/maxima is/are at the point(s) _______. There is no local minimum. C. The local minimum/minima is/are at the point(s) _______. There is no local maximum. D. The function has no local extrema. What is(are) the inflection point(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The inflection point(s) is(are) ______. B. The function [tex]$f$[/tex] does not have any inflection points.

📝 Answered - Calculate [tex]$\bar{d}$[/tex] and [tex]$s_d$[/tex] for the following set of paired data. Calculate each paired difference by subtracting the values in Group A from the corresponding values in Group B. Round your answer to three decimal places, if necessary. | Group A | 25 | 27 | 16 | 26 | 29 | 20 | 24 | 20 | 19 | 27 | | Group B | 26 | 19 | 24 | 21 | 17 | 16 | 22 | 19 | 27 | 28 |

📝 Answered - True or False: The beliefs and attitudes that led to the call for independence had long been an important part of colonial life. Of all the political thinkers who influenced American beliefs about government, the most important is surely John Locke.

📝 Answered - What is the consequence of Duchenne muscular dystrophy on skeletal muscle fibers? A. Complete regeneration of muscle cells. B. Uncontrolled muscle contractions throughout the body. C. Damage to the sarcolemma leading to muscle fiber necrosis. D. Increase in muscle fiber size and strength.