The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1515 and a standard deviation of 15. Approximately what percentage of buckets contain between 1470 and 1560 pieces of popcorn? Approximately 68%
Approximately 75%
Approximately 95%
99.7%



The answer is D) 99.7%

The empirical rule states that 99.7% of the data values will fall within 3 standard deviations of the mean. To calculate "within 3 standard deviations," you need to subtract 3 standard deviations from the mean, then add 3 standard deviations to the mean. That will give you the range for 99.7% of the data values.
1515 − 3 ⋅ 15 = 1470
1515 + 3 ⋅ 15 = 1560

The range of numbers is 1470 to 1560

Found using:
Empirical Rule Calculator with Easy Step-by-Step Solution
statistics helper. com

step-by-step explanation:

most likely the answer is a.

alice wins if a total of 5 is rolled. finn wins if a total of 9 is rolled.

1. perpendicular

2. parallel

3. perpendicular

well what did you do it matters what you did : )

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places