Answer:
Step-by-step explanation:
Given that,
The diameter of a hockey puck, d = 7.6 cm
Height, h = 3.4 cm
We need to find the volume of the volume of a cylindrical package containing six pucks.
Volume of 1 puck,
Volume of 6 pucks,
So, the volume of the 6 puck is .
There we go!
X + 3x-10 + 70-x = 180
3x = 120
X = 40
The size of the largest angle is 3x - 10, because it is the biggest side.
Hope it helps, have a great day!
Answer:
The correct answers are: 0.5, 3, and 10.
Basically, all numbers that are greater than -2.5 can make this inequality true.
Let me know if this helps!
Answer: CIRCLE C
Step-by-step explanation:
Answer: Choice C. mean > median
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Explanation:
Multiply each measure with their corresponding frequency.
- 8*1 = 8
- 10*3 = 30
- 14*2 = 28
Add up those products: 8+30+28 = 66
Then divide by the total frequency n = 1+3+2 = 6 to get 66/6 = 11 as the mean.
mean = 11
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Since we have n = 6 values in this list, this means the median is between slot n/2 = 6/2 = 3 and slot 4.
Note how that places us in the middle row because 1+3 = 4 encapsulates both of those slots mentioned. So the median is 10.
Or you could list out the values in roster notation {8, 10, 10, 10, 14, 14} to see that {10,10} occupy the middle most slots. So the median is (10+10)/2 = 20/2 = 10.
median = 10
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The mode is simply the most frequent value. The table shows that mode = 10 since it occurs 3 times, compared to 8 showing up 1 time and 14 showing up twice.
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We have the following summary
- mean = 11
- median = 10
- mode = 10
With that in mind, let's go through the answer choices.
- We can see that mean < mode is false, since it should be mean > median, so cross choice A off the list.
- mean = median is also false, so choice B is crossed off as well.
- mean > median is true since 11 > 10 is true. Choice C is the answer. Note how this being true directly contradicts choice B, which is another reason to see why choice B is false.
- median > mode is false because 10 > 10 is false. It should be median = mode. Choice D is crossed off the list.
