Answer:
Step-by-step explanation:
5
4
3
2
1
0
-2 -1 0 1
5
-2
b =
m =
Inequality = 5.0?
Answer: B(7,0)
Step-by-step explanation:
Since coordinate of A(3,8) and M(5,4), where M is the midpoint of AB.
Let the coordinate of B be (x,y)
Therefore, the distance AM is equal to distance MB.
Distance = sqrt{ (5 - 3)² + (4-8)² } =sqrt { (x-5)² + (y-4)²}
Comparing corresponding coordinates,
5-3 = x-5
x= 5+5-3 = 7
4-8 = y-4
y= 4-8+4= 0
Therefore, the coordinate of B is (7,0)
Answer:
30.5 ; 49 ; 27 ; 50 ; 45
Step-by-step explanation:
Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile
Given the ordered data :
13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82
Sample size, n = 30
The first quartile ;Q1
Q1 = 1/4(n+1)th term
Q1 = 31/4 = 7.75th term
Q1 = (29+32)/2
Q1 = 30.5
Q3 ;
Q3 = 3/4(n+1)th term
Q3 = 3(31)/4 = 23.25 th term
Q3 = (48 + 50) /2 = 49
2nd decile :
0.2 * (nth term
0.2 * 30 = 6th term = 27
8th decile :
0.8 * 30 = 24 th term
= 50
67th percentile :
0.67 * (n+1)th term
0.67 * 31 = 20.77
= (44 + 46) / 2
= 45
Answer:
B x = sqrt(48)
Step-by-step explanation:
Half of the bottom side measures 4.
4^2 + x^2 = 8^2
16 + x^2 = 64
x^2 = 48
x = sqrt(48)
Answer: B x = sqrt(48)
