How is the shape of this distribution similar to or different from the shape of the distribution for the number of pets?

How can you describe the shape of the distribution of a data set?

Describe the shape of the distribution of heights for students in your class.

Sketch the set of points in the complex plane satisfying the given inequality. Determine whether the set is a domain. $|z-i|>0$

Identify two differences between the skull of a mammal and the skull of a reptile.

A member of the power family of distributions has a distribution function given by

$$F ( y ) = \left\{ \begin{array} { l l } { 0 , } & { y < 0 } \\ { \left( \frac { y } { \theta } \right) ^ { \alpha } , } & { 0 \leq y \leq \theta } \\ { 1 , } & { y > \theta } \end{array} \right.$$

where

$$\alpha , \theta > 0$$

. For fixed values of

$$\alpha \operatorname { and } \theta$$

, find a transformation G(U) so that G(U) has a distribution function of F when U possesses a uniform (0, 1) distribution.

$f(x)=\sin x,-\frac{\pi}{2} \leq x \leq \frac{\pi}{2}, g(x)=\cos x, 0 \leq x \leq \pi,$ and $h(x)=\tan x,-\frac{\pi}{2}<x<\frac{\pi}{2}$. Find the exact value of each composite function. $h\left(f^{-1}\left(-\frac{2}{5}\right)\right)$

The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29; 30; 32; 33; 33; 34; 35; 37; 39; 40. Identify the median.

You are given the component forms of the vectors u and v. Write a program for a graphing utility in which the output is ||u||

Use each set of numbers to form a proportion. Use cross products to justify your answer. 76, 1, 11, 836

Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the equation. (4, -2), y = 3x + 5

Calculate the limits algebraically. If a limit does not exist, say why. $\lim _{x \rightarrow 0}(2 x-4)$

Solve each system. Note that the equations are not linear in the original variables. (Hint: Let

$$x = \frac { 1 } { u }$$

and

$$y = \frac { 1 } { v }$$

. Rewrite the system in terms of x and y and solve. Then use x and y to find u and v.)

$$\left. \begin{array} { l } { \frac { 4 } { u } + \frac { 3 } { v } = 3 } \\ { \frac { 6 } { u } + \frac { 5 } { v } = 4 } \end{array} \right.$$

Find the solution of the given initial value problem

$$\begin{gather*} x' = \left(\begin{array}{cc}-\dfrac{5}{2} & \dfrac{3}{2} \\\\ -\dfrac{3}{2} & \dfrac{1}{2}\end{array}\right) \ x, \,\,\, x_{0} = \left(\begin{array}{c}\,\,\,\,\,3 \\\\ -1\end{array}\right). \end{gather*}$$

Draw the trajectory of the solution in the ${x_{1} x_{2}}$ - plane and also draw the component plots of ${x_{1}}$ versus ${t}$ and of ${x_{2}}$ versus ${t}$.