As a surveyor, you measure an angle of elevation as 35.25 degrees. You are required to record all measurements in fraction form.
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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%.
1. We can conclude that the result of the division is 
with a remainder of 
, or in other notation: 
. Check the steps in the first image.
3. We can conclude that the result of the division is
with a remainder of 2, or in other notation: 
. Check the steps in the firts image.
5. We can conclude that the result of the division is
with a remainder of 5, or in other notation: 
. Check the steps in the first image.
7. To check if
is a factor of 
, we are going to perform long division. If the result of the long division has no remainder, is a factor of .
Since the result of the long division has no remainder, we can conclude that is a factor of . Check the steps in the second image.
9. To check if
is a factor of , we are going to perform long division. If the result of the long division has no remainder, 
is a factor of .
Since the result of the long division has no remainder, we can conclude that is a factor of . Check the steps in the third image.
10. We can conclude that the result of the synthetic division is
. Check the steps in the fourth image.
3. We can conclude that the result of the division is
5. We can conclude that the result of the division is
7. To check if
Since the result of the long division has no remainder, we can conclude that
9. To check if
Since the result of the long division has no remainder, we can conclude that
10. We can conclude that the result of the synthetic division is