During the 2016 presidential election, media reports sometimes called attention to the ages of the candidates. This led to Alicia wondering, "Are these candidates too old to be president?" Because she wanted to collect and analyze data, she revised her question: "At what age do presidents take office?" Explain why Alicia's question is a statistical question.

What are the most important differences between each of the measures of center?

Butylated hydroxytoluene, BHT, a food preservative, contains carbon, hydrogen, and oxygen. A sample of 15.42 milligrams of BHT was burned in a stream of oxygen and yielded 46.20 milligrams of $\mathrm{CO}_{2}(g)$ and 15.13 milligrams of $\mathrm{H}_{2} \mathrm{O}(g)$. Calculate the empirical formula of BHT.

Ms. Yoto is putting together bags of fruit that contain 1 pear for every 2 apples. For each ratio given, create a picture module. Then, calculate the answer from your model, and explain your reasoning. a. How many apples are in the bag if there are a total of 9 pieces of fruti? b. How many apples are in the bag if there are a total of 15 pieces of fruit? c. How many pieces of fruit are there if there are 8 apples in the bag?

Graph each quadratic function. Give range. $f(x)=x^{2}+6 x+5$

Graph each function. $f(x)=-\sqrt{x}-2$

Solve the equation using a bar model. $\frac{3}{4} x=8$

Compare the fractions in each pair. Think about how close the fractions are to $0, \frac{1}{2}, \text { or } 1$. a. $\frac{5}{8} \text { and } \frac{7}{12}$ b. $\frac{14}{15} \text { and } \frac{7}{8}$ c. $\frac{1}{9} \text { and } \frac{1}{23}$

Use the following key to label each of the resources as land, labor, capital, or entrepreneurship. If a resource is land, identify it as either renewable or nonrenewable. If a resource is a capital good, identify it as either physical or human. (Hint: Physical capital is a tangible, human-made resource- such as tools or machinery-used to produce other goods and services. Ld-r = land (renewable), Ld-n = land (nonrenewable), Lbr = labor, C = capital, E = entrepreneurship. lawyer ____________

Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.

$$\begin{aligned} &\frac{3}{8} x-\frac{1}{2} y=\frac{7}{8}\\ &-6 x+8 y=-14 \end{aligned}$$

Rewrite $\frac{2(x+5)-4}{2}-x$ using the fewest terms possible. Justify each step with a property or operation.

A spacecraft is approaching a space station that is orbiting Earth. When the craft is 1000 km from the space station, reverse thrusters must be applied to begin braking. The time, t, in hours, required to reach a distance, d, in kilometres, from the space station while the thrusters are being fired can be modelled by $t=\log _{0.5}\left(\frac{d}{1000}\right)$. The docking sequence can be initialized once the craft is within 10 km of the station’s docking bay. a) How long after the reverse thrusters are first fired should docking procedures begin? b) What are the domain and range of this function? What do these features represent?

Determine the product of all values of k for which the polynomial equation $2 x^{3}-9 x^{2}+12 x-k=0$ has a double root.

One cycle of a sine function begins at $x=-\frac{\pi}{4}$ and ends at $x=\frac{\pi}{3}$. a) Determine the period of the function. b) Determine the phase shift of the function.