Metro Department Store’s annual sales (in millions of dollars) during the past 5 years were

$$\begin{array}{lccccc} \hline \text { Annual Sales, } y & 5.8 & 6.2 & 7.2 & 8.4 & 9.0 \\ \hline \text { Year, } x & 1 & 2 & 3 & 4 & 5 \\ \hline \end{array}$$

Plot the annual sales (y) versus the year (x).

Decide whether each statement is true or false, and explain why. If the consequent of a conditional statement is true, the conditional statement is true.

Metro Department Store's annual sales (in millions of dollars) during the past 5 yr were

Using the equation found in part c, estimate Metro's annual sales 4 yr from now (x=9).

Expresa el área de esta figura

Let X denote the time to failure (in years) of a certain hydraulic component. Suppose the pdf of X is $f(x) = 32 /(x+4)^{3}$ for x < 0. If the component has a salvage value equal to $100/(4 + x)$ when its time to failure is x, what is the expected salvage value?

Identify each sample as biased or unbiased and describe its type. Explain your reasoning. To determine the theme for the homecoming dance, the homecoming committee surveys one classroom.

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The point (-a, -b) is symmetric to the point (a, b) with respect to the origin.

Determine whether the lines AB and CD are parallel. $A(2,3), B(2,-2)$ and $C(-2,4), D(-2,5)$

Use the Fundamental Counting Principle to find the total number of outcomes in each situation. Amber has a denim and a black purse. Ebony has a black, a red, a denim, and a brown purse. Each girl picks a purse at random to bring to the mall. What is the probability the girls will bring the same color purse?

Determine whether the lines AB and CD are perpendicular. $A(2,0), B(1,-2)$ and $C(4,2), D(-8,4)$

Decide whether each of the following is a statement. If it is a statement, decide whether or not it is compound. Do unto others as you would have them do unto you.

Decide whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. $x+y^{2}=10$

In some applications the distribution of a discrete rv X resembles the Poisson distribution except that zero is not a possible value of X. For example, let X = the number of tattoos that an individual wants removed when she or he arrives at a tattoo-removal facility. Suppose the pmf of X is $p(x)=k \frac{e^{-\theta} \theta^{x}}{x} \quad x=1,2,3, \ldots$ If the mean value of X is 2.313035, what is the probability that an individual wants at most 5 tattoos removed?

A planet of density $\rho_{1}$ (spherical core, radius $R_{1}$ ) with a thick spherical cloud of dust (density $\rho_{2},$ radius $R_{2}$) is discovered. What is the force on a particle of mass m placed within the dust cloud?