A12 sided die is rolled. the set of equally likely outcomes is { 1,2,3,4,5,6,7,8,9,10,11,12}. find the probability of rolling a number greater than 8.

Answer : The probability rolling a number greater than 8 is,

Step-by-step explanation :

Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

Favorable outcomes are, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

Now we have to calculate the probability rolling a number greater than 8.

Favorable outcomes rolling a number greater than 8 are, 9, 10, 11, 12

Number of favorable outcomes rolling a number greater than 8 = 4

Total number of outcomes = 12

Thus, the probability rolling a number greater than 8 is,

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).

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.