Answer:
The percentage of the bag that should have popped 96 kernels or more is 2.1%.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of popcorn kernels that popped out of a mini bag.
The mean is, <em>μ</em> = 72 and the standard deviation is, <em>σ</em> = 12.
Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.
Compute the probability that a bag popped 96 kernels or more as follows:
Apply continuity correction:


*Use a <em>z</em>-table.
The probability that a bag popped 96 kernels or more is 0.021.
The percentage is, 0.021 × 100 = 2.1%.
Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.
Answer:
10 ft cubed
Step-by-step explanation:
The volume of a pyramid is 1/3 the volume of a prism with the same base area & height.
30/3=10
Isn't it 1/8?
I hope this helped i think i just simplified xD
Answer:
The number is : x = 37
Step-by-step explanation:
In order to solve this question, we may set up a proportion.
If the original number is 100%, 59.94 would be 162% of the original, as it was increased by 62%.
so
59.94 → 162%
x → 100%
solving the proportion gives you
59.94 × 100 = 162 × x
x = (59.94 × 100)/162
x = 5994/162
x= 37
Thus, the number is : x = 37