Answer:
all work is shown and pictured
Answer: the 2 integers are 15 and 17
Step-by-step explanation:
Let x represent the hypotenuse of the right angle triangle. Since the hypotenuse and the other leg are odd consecutive integers, then the other leg is x - 2 because x is longer
When a right angle triangle is formed, it means that
Hypotenuse² = opposite side² + adjacent side²
If the shortest side is 8, it means that
x² = (x - 2)² + 8²
x² = x² - 2x - 2x + 4 + 64
x² - x² + 2x + 2x = 68
4x = 68
x = 68/4 = 17
Therefore, the length of the other leg is
x - 2 = 17 - 2 = 15
Answer:
Step-by-step explanation:
Given
Required
Probability of not getting audited
If a pair of dice is rolled, the following are the observations of the sum
So, in a single roll; The probability of getting audited is:
The probability of not getting audited in a single roll is:
--- Complement rule
Take LCM
The probability of not getting audited in 5 rolls is:
If x is inversely proportional to y, then:
x=k/y.
When y=2, x=3.
3=k/2, therefore k=6.
So, x=k/y is in fact x=6/y.
When x=9:
9=6/y
9y=6
y=6/9=2/3.
