Michael bought 50 raffle tickets. If 1000 were sold, what is the probability that one of Michael's tickets will not win?

What is the major benefit of the ROI technique for measuring performance?

What are some possible reasons why female athletes have a greater incidence of ACL injuries?

Use the region R with the indicated boundaries to evaluate each double integral. $\iint\left(4-4 x^{2}\right) d y d x ; \quad 0 \leq x \leq 1,0 \leq y \leq 2-2 x$

Explain why $\triangle A B C, \triangle A D E$, and $\triangle A F G$ are similar triangles.

Explain the importance of B19.

Find each double integral over the region R with boundaries as indicated. $\iint_{R}\left(x^{2}+2 y^{2}\right) d x d y ; \quad 0 \leq x \leq 5,0 \leq y \leq 2$

A sample of 61 houses recently listed for sale in Silver Spring, Maryland, was selected with the objective of developing a model to predict the asking price (in $thousands), using the living space of the house (in square feet) and age (in years). The results are stored in Silver Spring Homes. What conclusions can you reach about theasking price?

Use the ratio table to find the unit rate with the specified units. servings per package

$$\begin{array}{|l|c|c|c|c|} \hline \text { Packages } & 3 & 6 & 9 & 12 \\ \hline \text { Servings } & 13.5 & 27 & 40.5 & 54 \\ \hline \end{array}$$

An isosceles triangle has a perimeter of 8 cm. Express the area $A$ of the triangle as a function of the length $b$ of the base of the triangle.

Graph the function $y=\sec x \tan x$ with the window $[-\pi, \pi] \times[-10,10]$. Use the graph to analyze the following limits. a. $\lim _{x \rightarrow \pi / 2^{+}} \sec x \tan x$ b. $\lim _{x \rightarrow \pi / 2^{-}} \sec x \tan x$ c. $\lim _{x \rightarrow-\pi / 2^{+}} \sec x \tan x$ d. $\lim _{x \rightarrow-\pi / 2^{-}} \sec x \tan x$

The given figure shows a cantilever beam serving as a spring for a latching mechanism. When assembled, the free end is deflected 0.075 in., which corresponds to a force F of 8.65 lb. When the latch operates, the end deflects an additional 0.15 in. Would you expect eventual fatigue failure?

A right triangle has an area of 18 square inches. A. If the triangle is an isosceles triangle, what are the lengths of the legs of the triangle? B. If the triangle is not an isosceles triangle, what are all the possible lengths of the legs, if the lengths are whole numbers?

Solve the following exercise.

$\triangle G H J \cong \triangle P Q R$ and $\triangle P Q R \cong \triangle S T U$. Complete the following using a side or angle of $\triangle S T U$. Justify your answers.

$$G J=$$