The number of pieces of popcorn in a large movie theater popcorn bucket is normally distributed, with a mean of 1610 and a standard deviation of 10. approximately what percentage of buckets contain between 1600 and 1620 pieces of popcorn?

a. approximately 68%
b. approximately 75%
c. approximately 95%
d. approximately 99.7%

A. Approximately 68%

Step-by-step explanation:

Number of pieces of popcorn in a bucket is normally distributed.

Mean = μ = 1610

Standard deviation = б = 10

We know that in normal distribution, approximately 34% of bags will fall with in one standard deviation on one side. On both sides within the range of 1 standard deviation, 34 + 34 = 68 % of bags will fall.

A table of normal distribution about mean is attached for better understanding.

Our range is:

1600 to 1620

1610 - 10 to 1610 + 10

μ ± б

mean ± 1 standard deviation

Our range is within 1 standard deviation. Hence, Approximately 68% of buckets contain between 1600 and 1620 pieces of popcorn.

Answers:

Reason 2) Given. Specifically, the diagram shows that the two angles are adjacent and supplementary, which is why the two angles are a linear pair.Reason 3) Definition of Linear Pair. As stated above, a linear pair of angles add to 180 degrees (they are supplementary).Statement 4) since the term "right angle" is another way of saying "90 degree angle"Statement 5) The upside down "T" symbol means "perpendicular". Perpendicular lines form 90 degree angles at the intersection.

Side note: The double arrow over WY and XV in statement 5 is supposed to be an unbroken line.