A. True. There are 52 cards total and you only pick 5. Order doesn't matter.
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B. False. Order doesn't matter so you use a combination (instead of a permutation) as choice A shows.
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C. False. The answer is roughly 0.000858 as shown by the calculation below
(13/52)*(12/51)*(13/50)*(12/49)*(11/48) = 0.000858
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D. False. See calculation below
(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495
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E. True. See calculation below
(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495
this value rounds to roughly 0.0005
2 +4 +3 = 9 total balls
if they pick a white one first there would be 8 balls left
there are 2 blue ones so probability would be 2/8 which reduces to 1/4
Answer:
slope: 2/3 or 0.6666...
Step-by-step explanation:
find two points on the line : (1,2) and (0,-2) and do rise over run. Rise = 2 and Run = 3, so you put it in rise over run form. Rise/Run = 2/3. The graph is positive.
X+y=3
x-y=-15
2x=-12
x=-6
y=-6+15=9
By finding the maximum common factor between the number of spoons, we conclude that he must put 6 teaspoons per bag.
There will be 8 bags in total.
<h3>How many teaspoons of spice should the clerk put in each bag?</h3>
We know that the store clerk has 18 teaspoons of cinnamon and 30 spoons of nutmeg.
Now, we want to put these in bags, such that each bag contains the same number of teaspoons.
Then the number of teaspoons per bag must be a common factor of 30 and 18. (the minimum number of bags is what we get when we select the maximum common factor).
Decomposing these two numbers gives:
30 = 2*3*5
18 = 2*3*3
Then the maximum common factor is 2*3 = 6
This means that we need to put 6 teaspoons per bag.
And the total number of teaspoons is 30 + 18 = 48, dividing that by 6 we get:
48/6 = 8
There will be 8 bags.
If you want to learn more about common factors:
brainly.com/question/219464
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