When you see questions of this nature, test the individual inequalities and look out for their intersection.
For
Choose a point in the lower or upper half plane created by the line
The above line is the one which goes through the origin.
Now testing (1,0) yields,
That is,
This statement is true. So we shade the lower half of
For
We test for the origin because, it is not passing through the origin.
This yields
This statement is false so we shade the upper half.
The intersection is the region shaded in B. The top right graph
Answer:
In order from least to greatest: 0.25, 3 ⅜, 3 <span>⅖</span>;
Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .
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Explanation:
0.25 = ¼ l (less than "1"); the lowest of the three given values.
The remaining two values have the same whole number of 3, and a fraction:
3 <span>⅖ ;</span> and 3 ⅜.
The least common multiples among the denominators of the fraction values is 40. ⅖ = ?/40 ; 5*? =40? 5* 8 = 40, so 2*8 = 16;
Thus, ⅖ = 16/40, and 3 ⅖ = 3 16/40. 3/8 = ?/40? 8*5 =40; so 3*5 = 15 ; thus ⅜ = 15/40; and
and 3 ⅜ = 3 15/40.
3 15/40 is less than than 3 16/40;
as such; 3 ⅜ is less than 3 ⅖.
So, in order from least to greatest: 0.25, 3 ⅜, 3 ⅖;
Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .
Answer:
The correct option is (C) 10.
Step-by-step explanation:
The five-number summary for the number of teams in each of Brad's fantasy football leagues is as follows:
Minimum: 4
<em>Q</em>₁: 7
Median: 10
<em>Q</em>₃: 14
Maximum: 18
The minimum value is the smallest value in the data set.
The first quartile (<em>Q</em>₁) is the value that is less than 75% of the observations.
The median is the middle most value of the data set. It is the value that is less than 50% of the observations.
The third quartile (<em>Q</em>₃) is the value that is less than 25% of the observations.
And the maximum value is the largest value in the data set.
So, the five-number summary suggests that about 50% of Brad's fantasy football leagues have fewer than 10 teams.
Thus, the correct option is (C).
Answer:
942
Step-by-step explanation:
I used the clculater
