A set of data includes 101 data points ranging from 0 – 200. If the data is split into classes with a range of 20 (1 – 20, 21 – 40, etc), and there are no values that fall in the class 101 – 120, what can you say about the data?A.The mean of the data will not be between 101 and 120.
B. All the data lies below 100.
C. The relative frequency of the class 101 – 120 is 0.
D. The median could be in the range 101 – 120.
Answers
Answer:
The relative frequency of the class 101 – 120 is 0.
Step-by-step explanation:
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Answers
The notation ">=" without quotes means "greater than or equal to"
The upper case "U" means "set union"
Instead of using the intersection symbol, I will use a lower case 'n'
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Problem 1
A = {x | x < 1} which is the set of x values smaller than 1
B = {x | x >= 5} is the set of x values that are equal to 5 or larger
A U B = set of values that are from set A OR they are from set B (or both)
A U B = {x | x < 1 or x >= 5}
we simply connect the two inequalities mentioned with an "or"
note: how there is no overlap between the two regions. The "U" means "set union" which is like a sort of glue to tie the two sets together with an "or".
Answer: {x| x < 1 or x >= 5}
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Problem 2
A = {x | x < 1}
C = {x | x = 5} which is the set of one value only: 5 (x cannot equal any other value)
A U C = {x| x < 1 or x = 5}
So if a number is in set A U C, then this number is either less than 1, OR it is equal to 5
Answer: {x|x < 1 or x = 5}
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Problem 3
B U C = {x | x >= 5} because set C already has the "or equal to" part in there.
Set C is a subset of set B. If an item is in set C, then it is also in set B.
Answer: {x| x >= 5}
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Problem 4
Again recall that I'm using an 'n' to indicate "set intersection" instead of the upside down "U" symbol
A n B is the set of items that are in BOTH sets A and B at the same time. From problem 1, I mentioned there's a gap. There is no x value that is both less than 1 AND greater than or equal to 5. So this means that
A n B = empty set
which we use the "O" with a slash through it. This is a special symbol to indicate "empty set"
Another way to write "empty set" is to use curly braces with nothing inside like so { }
Answer: The "O" with a slash through it
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Problem 5
B n C is the same as {x| x = 5}
Why? Because if an item is in B n C, then it has to be in BOTH set B and set C at the same time. The only way this happens is if x = 5. If x is any other value, then it won't be in set C
Answer: {x| x = 5}
Answers
therefore, 3/10 = 3x8/10x8 = 24/80
I think the answer is 24/80 because you have multiplied the denominator by 8 to get to ?/80 from 3/10. Therefore, you need to multiply 3 by 8 also, which when you do, you get 24/80
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answer windex heres the step by step explanation everything =windex Step-by-step explanation:
1 hour, 40 minutes
1 hour, 30 minutes
2 hours, 30 minutes
Answers
when we subtract 3 hours, 50 minutes from 5 hours, 20 minutes we get 1 hour, 30 minutes
What is Unit of Measurement?
A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
We know that in an hour there are 60 minutes.
1 hour = 60 minutes
We need to subtract 3 hours, 50 minutes from 5 hours, 20 minutes.
In 3 hours 50 minutes we can calculate total number of minutes
3(60)+50
180+50=230
In 5 hours 20 minutes we can calculate total number of minutes
5(60)+20
300+20=320
Now subtract the minus 320 and 230
320-230
90 minutes
90 minutes means 1 hour 30 minutes
Hence, when we subtract 3 hours, 50 minutes from 5 hours, 20 minutes we get 1 hour, 30 minutes
To learn more on Unit of Measurement click:
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the bag?
Answers
Step by step explanation:
Answers
Answer:
B) -3
Step-by-step explanation:
The zeros of the function are found easily from the factors. They are 6 and -12. The x-coordinate is halfway between them, at (6 + (-12))/2 = -6/2 = -3.
If you want a formula, consider a quadratic with roots (zeros) p and q. Then it factors as
... y = (x -p)(x -q)
The line of symmetry through the vertex is also the line of symmetry between the roots, so has x-coordinate:
... x = (p+q)/2
___
In your problem, you have p=6, q=-12, so x = (p+q)/2 = -6/2 = -3 is the line of symmetry and the x-coordinate of the vertex.
The vertex of a parabola is the minimum or the maximum point on the parabola
The x-coordinate of the vertex is -3
The equation is given as:
Open brackets
Differentiate
Set to 0
Collect like terms
Divide both sides by 2
Hence, the x-coordinate of the vertex is -3
Read more about vertex at: