<h3>
Answer: 220 combinations</h3>
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Explanation:
We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).
Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.
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You can use the combination formula with n = 12 and r = 3. Doing so will give the following:
As you can see, we get the same result and note how 1320/6 is also present as well.
Q1: y = -3/2x +1
Q2: The graph changes vertically from -1 to 3 (4 units) at the same time it changes horizontally from -4 to 1/2 (4.5 units). The rate of change is 4/4.5 = 8/9 ≈ 0.8889. The closest answer selection is 9/10.
Q3: x=-2
Q4: The graph changes vertically by -4 at the same time it changes horizontally by +1. The slope is 4/-1 = -4. The y-intercept is +1, so the equation is
.. y = -4x +1
Q5: After the same pattern as above,
.. y = 5/2*x +5
Answer:
925 cubic inches
Step-by-step explanation:
Miguel has a toolbox that measures 18 1/2 inches by 12 1/2 inches by 4 inches. Fill in the formula to find the volume of the toolbox
The toolbox is shaped as a Rectangular prism
The volume of a rectangular prism = Length × Width × Height
Hence,
Length = 18 1/2 inches
Width = 12 1/2 inches
Height = 4 inches
Volume of the toolbox =
18 1/2 inches × 12 1/2 inches × 4 inches
= 925 cubic inches
Answer:
1/52
Step-by-step explanation:
There is only one of each type of card in each suit.
P(card is a diamond) = 13/52
P(card is a diamond + king) = (13/52)×(1/13) = (13/676) = (1/52)
