Apply the binomial theorem to 210 = (1 + 1)10 . Answer each question in the work area provided below. 1. Write out the equation using combination notation. 2. Simplify each term. Do not combine the terms. 3. In two or more complete sentences, describe the relationship between the terms of the equation and the number of combinations when flipping a coin 10 times. 4. What is the theoretical probability of getting exactly 5 heads in a sequence of 10 flips? 5. In two or more complete sentences, compare the theoretical probability of getting exactly 5 heads with the fraction in your histogram. Interpret any differences.

Will give brainliest! 2017 amc 12a problem 24 quadrilateral [tex]abcd[/tex] is inscribed in circle [tex]o[/tex] and has side lengths [tex]ab=3, bc=2, cd=6[/tex], and [tex]da=8[/tex]. let [tex]x[/tex] and [tex]y[/tex] be points on [tex]\overline{bd}[/tex] such that [tex]\frac{dx}{bd} = \frac{1}{4}[/tex] and [tex]\frac{by}{bd} = \frac{11}{36}[/tex]. let [tex]e[/tex] be the intersection of line [tex]ax[/tex] and the line through [tex]y[/tex] parallel to [tex]\overline{ad}[/tex]. let [tex]f[/tex] be the intersection of line [tex]cx[/tex] and the line through [tex]e[/tex] parallel to [tex]\overline{ac}[/tex]. let [tex]g[/tex] be the point on circle [tex]o[/tex] other than [tex]c[/tex] that lies on line [tex]cx[/tex]. what is [tex]xf\cdot xg[/tex]? show all work!

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12

Drag each expression to the correct location on the solution. not all expressions will be used. consider the polynomial 8x + 2x2 - 20x - 5. factor by grouping to write the polynomial in factored form.