Kylie has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Kylie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kylie performs the experiment 46 times. The results are shown below: A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.

Based on these results, express the probability that the next chew Kylie removes from the bag will be a flavor other than lime as a decimal to the nearest hundredth.

The probability is 0.609

Step-by-step explanation:

Out of 46 times that the experiment was performed:

A orange chew was selected 5 times.

A apple chew was selected 23 times.

A lime chew was selected 18 times.

We can find the relative frequency of each one of them as the quotient between the number of times that a particular chew was selected, and the total number of chews.

Then for the orange ones we have a relative frequency (that can be thought as the probability) of:

Po = 5/46

For apple we get:

Pa = 23/46

For Lime we get:

Pl = 18/46

We want to find the probability that the next chew Kylie removes from the bag will be a flavor other than lime (so this is equal to the probability of getting orange plus the probability of getting apple):

P = Po + Pa = 5/46 + 23/46 = 0.609

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).