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solmaris
10 days ago
15

Suppose pieces of chocolate pie served at a restaurant average 350 calories with a standard deviation of 20 calories. Calories h

ave a Normal distribution due to inexact cutting of the pies. The shaded area represents the proportion of pieces of pie that have more than:__________

Mathematics
1 answer:
Leona [12K]10 days ago
3 0
The average calorie count for chocolate pie pieces at a dining establishment is 350, with a standard deviation of 20. Due to imprecise pie slicing, calorie distribution follows a Normal distribution. What graph illustrates the percentage of pie pieces exceeding 375 calories? The z score is utilized to assess the number of standard deviations the raw score is from the mean. A positive z score indicates the raw score is higher than the mean, while a negative z score implies it is lower. The z score formula is: Given μ = 350 calories, σ = 20 calories, x > 375. The shaded portion of the graph indicates the proportion of pie pieces containing more than 375 calories. According to the normal distribution table, P(x > 375) = P(z > 1.25) = 1 - P(z < 1.25) = 1 - 0.8944 = 0.1056 = 10.56%.
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