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Anthony's Muffin Shop recently sold $4$ blackberry muffins and $6$ other muffins. Considering this data, how many of the next $20$ muffins sold would you expect to be blackberry muffins? $\newline$ ____ blackberry muffins

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Q. Anthony's Muffin Shop recently sold

4

blackberry muffins and

6

other muffins. Considering this data, how many of the next

20

muffins sold would you expect to be blackberry muffins?

\newline

____ blackberry muffins

Calculate Total Muffins: Calculate the total number of muffins sold recently at Anthony's Muffin Shop. $\newline$ Total muffins $=$ blackberry muffins $+$ other muffins $\newline$ Total muffins $= 4 + 6 = 10$
Determine Probability: Determine the probability of selling a blackberry muffin based on past data. $\newline$ Probability $P$ of selling a blackberry muffin $=$ Number of blackberry muffins sold $/$ Total number of muffins sold $\newline$ $P(\text{blackberry muffin}) = \frac{4}{10} = 0.4$
Calculate Expected Blackberry Muffins: Calculate the expected number of blackberry muffins in the next $20$ muffins sold, using the probability found. $\newline$ Expected number of blackberry muffins = $P(\text{blackberry muffin}) \times \text{Number of next muffins sold}$ $\newline$ Expected blackberry muffins = $0.4 \times 20 = 8$

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