1320 ways
This can be solved using something called permutation. There are 12 possible swimmers that can be in first place. After that, 11 swimmers left to be in second place. Finally there are 10 swimmers left for third place. Multiply these together you get 12•11•10=1320. Hope this helps!!
Answer:
C, D
Step-by-step explanation:
C and D is a algebraic equation, and equations have an equal sign, which is all it needs to prove it is a mathematical sentence.
Hope this helps!!
Let me know if I'm wrong, or you need help on a different problem...
Solving this problem is pretty straight forward.
We simply use the formula:
z-score = (x – u) / s
where,
x = sample value = 48 minutes
u = mean value = 30 minutes
s = standard deviation = 7 minutes
Therefore,
z-score = (48 minutes – 30 minutes) / 7 minutes
<span>z-score = 2.57</span>
Answer:
C) 169 square units
Step-by-step explanation:
The formula for the area of a square is A = a² where a is one side of the square.
To find the length of one side of the square, use the distance formula for two points. I will use the points (-8, 3) and (4, 8).
d = √((x₂ - x₁)² + (y₂ - y₁)²)
d = √((4 - (-8)² + (8 - 3)²)
d = √((12)² + (5)²)
d = √(144 + 25)
d = √(169)
d = 13
Now since all of the sides of the square equal that value (13), plug it into the area formula.
Area = a²
Area = 13²
Area = 169.
