Of a group of 30 cats, 24 eat tinned or dry food, 10 like dry food and 5 like both tinned and dry food. find the probability that a randomly selected cat likes only tinned food.

Given: 30 cats, 24 for tinned or dry food, 10 for only dry food, 5 for both tinned and dry food.

Cats that like only tinned food: 24 - 10 = 14

Probability that a randomly selected cat likes only tinned food:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

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