Answer:
A. the median of the lower half of a data set ordered from least to greatest
Step-by-step explanation:
The first quartile can best described as the median of the lower half of a data set ordered from least to greatest.
Let us explain this with an example, say you're given a set of numbers: {1, 2, 5, 8, 9, 12, 15, 16, 20, 23, 25, 28, 32, 36, 42}. The median for the set is 16, the first quartile is going to be the median of the first half which is 8.
Y = T+3 (i)
T = H+2 (ii)
Y = 2*H (iiii)
T = H+2 therefore H = T-2
Substitute H=T-2 into (iii)
Y=2*H
Y=2*(T-2)
Y=2T-4
Now substitute that Y into (i)
(i) says Y = T+3
2T-4=T+3
2T-T-4=3
T-4=3
T=3+4
T=7
Then from (i) Y=T+3 = 7+3 =10
Y=10
And from (iii) Y=2*H
If Y = 10, then H = 5
72.5+32.7= 105.2
Triangle angles have to equal 180
180-105.2= 74.8
Third angle= 74.8 degrees
Answer:
4xy+24y^2−7x−38y−7
Step-by-step explanation:
(-7+4y) (6y+x+1)
-7*6y= -42y
-7*x= -7x
-7*1= -7
4y*6y= 24y²
4y*x= 4yx
4x*1= 4y
Add them up
9514 1404 393
Answer:
11.6 cm
Step-by-step explanation:
As the page title tells you, the Pythagorean theorem must be applied more than once. As you know, it tells you the square of the hypotenuse is the sum of the squares of the two sides.
AD² = ED² +EA²
EA² = AD²-ED² = 7² -6² = 13
EA = √13 ≈ 3.606
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CD² = ED² +EC²
EC² = CD² -ED² = 10² -6² = 64
EC = √64 = 8
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The length of the horizontal diagonal is ...
AC = EA +EC = 3.6 +8 = 11.6 . . . cm
