I started this and got distracted and never finished and it timed out. Focus Dean.
It's not the best graph; I assume the origin is the apparent origin and the y axis numbers go with the line above them.
This graph is M(V), M(V) is mass in kg of bucket with water volume V in liters
a) the mass of an empty bucket
That's the y intercept, M(0), eyeballing it around .7 kg
Answer: .7 kg
b) the mass of the bucket containing 1 liter of liquid
That's M(1), looks like 1.3 or so
Answer: 1.3 kg
c) the mass of one liter of liquid
That's the difference, M(1)-M(0), about .6 kg. We can get a better estimate from a longer slope, say (.5,1) to (3,3), (3-1)/(3-.5) = .8 kg.
Answer
: 0.8 kg
d) the volume of the liquid in the bucket, if the total mass of bucket with the liquid is 3 kg.
Solve M(V)=3
That has a solution from the graph V=3.
Answer: 3 liters
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.
I hope this helps you
33.3+30.6
63.9
Pls mark Brainliest.
Answer:
f(x) = -4x² - 64x - 202
Step-by-step explanation:
We can simplify this quadratic function given in vertex form into standard form by simplifying the exponents and adding like terms.
f(x) = -4(x+7)^2 - 6
f(x) = -4(x^2 + 14x + 49) - 6
f(x) = -4x² - 64x - 196 - 6
f(x) = -4x² - 64x - 202
Answer:
1. P(5 U 6) =2/3
2. P(2 U 5 U 6) = 5/6
3. P(1 U 2) = 1/3
4. P(4) = 0
Step-by-step explanation:
As the number cube has 6 sides,
So,
Total outcomes = {1,2,5,5,6,6}
n(S) = 6
Now,
1. P(5U6) = P(5) + P(6)
P(5)=2/6=1/3
P(6)=2/6=1/3
P(5U6)= 1/3 + 1/3 = 2/3
2. P(2 U 5 U 6) = P(2) + P(5) + P(6)
P(2)=1/6
P(5)=2/6
P(6)=2/6
P(2 U 5 U 6) = 1/6 + 2/6 + 2/6
= 5/6
3. P(1 U 2) = P(1) + P(2)
P(1) = 1/6
P(2)= 1/6
P(1 U 2) = 1/6 + 1/6
= 2/6 = 1/3
4. P(4) = 0
As 4 is not in the outcomes, it's probability will be zero ..
