The regression equation based on the information given about the sugar contents will be 0.18x - 20.84.
<h3>How to explain the regression?</h3>
It should be noted that from the information, the accompanying data are the caloric contents and the sugar contents of 11 high-fiber breakfast cereals.
The sugar content will be:
a. 160 calories
= 0.18x - 20.84.
= 0.18(160) - 20.84
= 7.96
b. 90 calories
= 0.18x - 20.84.
= 0.18(90) - 20.84
= -4.64
c. 175 calories
= 0.18x - 20.84.
= 0.18(175) - 20.84
= 10.66
d. 208 calories
= 0.18x - 20.84.
= 0.18(208) - 20.84
= 16.6
Therefore, the sugar contents is illustrated above.
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A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.
A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."
When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.
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So (f-g)(x) = 3x2 + x, so when x = 2, the function is 14