9514 1404 393
Answer:
understand what the fraction means
Step-by-step explanation:
First of all, you need to <em>understand what 2/3 means</em>. It means 1 whole has been divided into 3 equal parts, and you're concerned with 2 of those parts.
In the number line in the first attachment, the space between 0 and 1 has been divided into 3 equal parts. The decimal value (rounded) is shown at each tick mark. The point marked "2/3" is located at the second of those divisions, counting from zero.
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The same fraction is located on the same number line in the second attachment. That number line is marked with divisions at intervals of 1/10, so there are 10 of them between 0 and 1. The value 2/3 is represented by the point that is (2/3)(10) = 6 2/3 of those intervals, so is between 0.6 and 0.7 on the number line.
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If the number line were divided into 12ths, then the fraction 2/3 would be located at the 8th tick mark, counting from 0. (2/3)(12) = 8 That is shown in the third attachment.
Answer:
Option b
Step-by-step explanation:
A function is even if and only if f(-x) = f(x).
This means that there is the same value of y for
and for 
Where
is any point belonging to the function .
Therefore you must select a graph whose ordered pairs are of the form
and 
Therefore the correct answer is option b. Assume that each box in the graph equals 1 unit. Then, for x = 2 y = -3 and for x = -2 y = -3. Then it is shown that the function is even.
In mathematical notation, ∑ means summation. So wherever you see the symbol, you have to sum over all elements in the set. Let's solve the question.
a. ∑m means, to sum all elements in the set m: ∑m = 12 + 15 + 20 + 30 = 77
b. ∑
means to sum all elements in the set f as the square of the elements f = 
c. ∑mf means to sum all elements as the product of the elements of m and f = (12×5) + (15×9) + (20
10) + (30×16) = 875
d. ∑
means to sum all elements as the product of the square of m and f = 
Mean absolute deviation (MAD) of the data set indicates the average distance of all elements from mean of the data set.
MAD of the data represented by dot plot in the picture will be Option A.
Elements in the given dot plot are,
3, 4, 5, 5, 5, 5, 5, 5, 6, 7
Steps to be followed for the mean absolute deviation of this data set.
- Find the mean of the data set
- Find the absolute distance of each element from the mean
- Find the average distance of all the elements which will be MAD of the data set.
Step - 1 :
Mean of the data set = 
= 
= 
(As shown on the dot plot)
Step - 2 :
Absolute distance of each element from the mean of the data set,
3 - 5 = |-2| = 2
4 - 5 = |-1| = 1
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
6 - 5 = 1
7 - 5 = 2
Step - 3 :
Average of the absolute distance = 
= 
= 0.6
Therefore, Option A will be the correct option.
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