Suppose a coin is tossed 21 times in a row with equal probability of heads and tails
a. What is the probability that heads does not occur three times in a row?
That is, with 21 tosses, what is the probability heads is never immediately
followed by two other heads?

b. What is the probability that the coin is facing the same way three times in
a row (that is three heads in a row or three tails in a row) exactly once in
the 21 tosses?

Look at the following graph of the given equation. determine whether the equation is a function. explain why or why not.

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.

Calculate the missing value. round the answer to on decimal place. start with 70, increase it by 21%, and end up with