If 500 tickets are sold and there are 10 winning tickets, what is the probability of losing?

If $a(x)=3x+1$ and $b(x)=\sqrt {x-4}$ what is the domain of $(b\circ a)(x)$ $(-\infty ,\infty )$ $[0,\infty )$ $[1,\infty )$ $[4,\infty )$

Find the equation for any horizontal asymptotes for the function below. $f(x)=\frac {1-2x+x^{2}}{9+2x+3x^{2}}$

The average lifespan for the 25 rats in our sample is 1430 days. Determine our sample's Z score on the comparison distribution. A ) $-5$ B $+5$ C $-1$ D $+1$

Write the complex number in standard form. $\sqrt {-90}$ $\square $

Express $f(x)$ in the form $f(x)=(x-k)q(x)+r$ for the given value of k. $f(x)=2x^{4}+4x^{3}-13x^{2}+21;k=-1$ $2x^{4}+4x^{3}-13x^{2}+21=$ $\square $

if $h(x)=(\frac {16+x^{7}}{16-x^{7}})^{2}$ find functions $f(x)$ and $g(x)$ so $h(x)=f(g(x))$ $f(x)=$ $\square $ $g(x)=$ $\square $

Write the following in simplified radical form. $\sqrt [5]{64x^{7}}$ Assume that the variable represents a positive real number. $\square $

Why must each class interval in a grouped frequency distribution be the same size? So that cumulative frequencies can be totaled correctly To ensure the graph bars will be proportional and accurate Because the data must be normally distributed To highlight which categories have the highest frequency

Make an order of magnitude estimate of the following quantity. Explain the assumptions you use in your estimates. Total annual gasoline usage in the United States An estimate of the amount of gasoline used is the approximately $\square $ cars in the United States $\square $ the approximate average $\square $ miles each is driven per year $\square $ the average mileage approximately $\square $ miles per gallon. This results in an order of magnitude estimate of $\square $ gallons of gas consumed in the United States per year. (Use scientific notation. Use the multiplication symbol in the math palette as needed.)

What kind of distribution is created by listing values in order from most to least arrests? Grouped frequency distribution Simple frequency distribution Ranked distribution Nominal frequency list