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3 years ago

PLEASEE HELPP ILL MARK U PLEASE

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

3 0

Answer:

y = 2/5x - 3

P (0,5)

parallel lines have equal slopes

slope intercept form of an equation

y = mx + b

m = slope, b = y-intercept

parallel to y = 2/5x - 3,

and through P(0, 5)

m = 2/5

y intercept = 5

so, the equation would be

D. y = 2/5x + 5

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2 years ago

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Answer: The maximum number of people who could answer yes for both cat and dog is 7.

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Out of those 100 people, 56 people answered yes for dog and 51 people answered yes for cat. Some people may own neither and some people may own both animals.

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$n(A\cup B)=n(A)+n(B)-n(A\cap B)\\\\\Rightarrow n(A\cup B)=56+51-n(A\cap B)\\\\\Rightarrow n(A\cup B)=107-n(A\cap B)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Since the total number of people is 100, so we get

$n(A\cup B)\geq 100.$

Therefore, from equation (i), we get

$107-n(A\cap B)\geq 100\\\\\Rightarrow n(A\cap B)\leq 107-100\\\\\Rightarrow n(A\cap B)\leq 7.$

Thus, the maximum number of people who could answer yes for both cat and dog is 7.

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