A)Plugging in our initial statement values of y = 16 when x = 10, we get:
16 = 10k
Divide each side by 10 to solve for k:
16/10=
k = 1.6
Solve the second part of the variation equation:
Because we have found our relationship constant k = 1.6, we form our new variation equation:
y = 1.6x
Since we were given that x, we have
y = 1.6()
y = 0
B)Plugging in our initial statement values of y = 1 when x = 15, we get:
1 = 15k
Divide each side by 15 to solve for k:
1/15
=15k
k = 0.066666666666667
The first thing in the reason column of a two colum proof is always GIVEN as it always coincide with an established fact which has been stated in the question to be worked on.
Two colum proofs involves using a tabulated format in establishing a conjecture.
Statements or facts are written on one side and the reason why the statement is true is stated in the reason column which is on the opposite side.
Starting a two column proof usually involve stating the the assumptions which are given about the shape or geometry.
Since each statement made requires a reason, then the reason behind the first statement which is based on what is stated in the question is written as GIVEN.
THEREFORE, after the statement given in the question has been established, then other reasons such as distributive, Commutative and other reasons may be used to proof one's solution statement.
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Answer: A) A boy is 19% more likely than a girl to own a dog than a cat or other animal.
Step-by-step explanation:
Here are the options:
A) A boy is 19% more likely than a girl to own a dog than a cat or other animal.
B) A boy is 33% more likely than a girl to own a dog than a cat or other animal.
C) A boy is 50% more likely than a girl to own a dog than a cat or other animal.
D) A boy is 52% more likely than a girl to own a dog than a cat or other animal.
Boy with a dog = 27
Total animals owned by boys = 27+15+10 = 52
Probability of owning a dog = 27/52 = 0.5192
Girl with dogs = 18
Total animals owned by girls = 18+25+12 = 55
Probability of owning a dog = 18/55 = 0.3273
Therefore, 0.5192 - 0.3273 = 0.1919 = 19.19%
Therefore, A) A boy is 19% more likely than a girl to own a dog than a cat or other animal.