Answer:
There was a 5% increase in Stacia's height from her 12th birthday to her 13th birthday.
Answer:
See explanation below
Step-by-step explanation:
The calculations for this lottery <em>do not involve </em>the combinations rule because <em>the order of the numbers does matter</em>. For example, 1234 and 4321 are different although they have the same digits.
The calculations for this lottery <em>do involve</em> the permutations with replacement rule because any selected number can be used more than once.
By <em>the fundamental rule of counting</em>, there are 10*10*10*10 = 10,000 possible outcomes of the event with a probability 1/10,000 = 0.0001 each outcome.
The average of the numbers would not change
<h3>
Answer: 9</h3>
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Work Shown:
a = unknown = leg #1
b = 12 = leg #2
c = 15 = hypotenuse
Plug those values into the pythagorean theorem and solve for 'a'
a^2 + b^2 = c^2
a^2 + (12)^2 = (15)^2 .... substitution
a^2 + 144 = 225
a^2 = 225 - 144 ... subtracting 144 from both sides
a^2 = 81
a = sqrt(81) .... applying square root to both sides
a = 9
