Answer:
These quotients are different because of what division means.
Step-by-step explanation:
When you divide you start with a total and break it into equal groups. If you started with three and broke them into groups of 1/5, that is different then starting with 1/5 and breaking into three groups.
If you had 3 cups of Chex mix and made servings of 1/5 of a cup. How many servings could you get? This is 3 divided by 1/5.
If you want to put tomatoes in 1/5 of your garden and you have 3 different tomatoes you want to plant. What fraction of the original garden will each type of tomato be in if they are evenly distributed.
<h3>
Answer: 680 different combinations</h3>
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Explanation:
If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.
So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.
An alternative is to use the nCr formula with n = 17 and r = 3. That formula is

where the exclamation marks indicate factorials
9514 1404 393
Answer:

Step-by-step explanation:
The first term is 2, so part of the recursive definition is ...
f(1) = 2
The common ratio is 6/2 = 3, so each term is 3 times the previous one. That part of the recursive definition is ...
f(n) = 3·f(n -1)
These two parts of the definition match choice C.
Answer:
2.0
Step-by-step explanation:
x = age
y = average systolic blood pressure
x₁ = 40 years old, y₁ = 110 systolic blood pressure
x₂ = 50 years old, y₂ = 130 systolic blood pressure

∴ Slope of the regression line is 2.0