You observe one value at least 5 and the other at most 2. 4. you observe a sum strictly between 4 and 7 13.8 create a table for the probabilities of each possible sum when rolling, a pair of dice: 1.3.9 what is the probability of drawing a spade from a standard deck? what is the probability of drawings ace from a andard derk? 1.3.10 what is the probability of drawing a king or queen from a standard 1.3.11 flip consod draws card from a dard deck. now determine the e of the place for this expert what the goal of wysinge element in this sample space! 1.3.12 what is the probability of drawing a heart that is not an ace from standard deck? 1.3.13 what is the probability of drawing a diamond that is not a jack, queen, or king from a standard deck? 3.14 suppose you play the following game you roll one die and you flip one coin, winning payments are as described in the table below. determine

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).

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step-by-step explanation:

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