Answer:
First question is A.
Second question is C.
Step-by-step explanation:
First question is correct because non-linear graphs look just like that.
Second question is correct because 2 variables cannot equal the same thing in a function.
Answer:
d. The variance is 9.56 and the standard deviation is 3.09.
Step-by-step explanation:
From the above question, we are given the following data set.
3, 7, 8, 8, 8, 9, 10, 10, 13, 14
a) Mean = 3 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 13 + 14/ 10
= 90/10
= 9
b) Variance
The formula for sample Variance = (Mean - x)²/ n - 1
Mean = 9
n = 10
Sample Variance =
(3 - 9)² + (7 - 9)² + (8 - 9)² + (8 - 9)² + (8 - 9)² + (9 - 9)² + (10 - 9)² + (10 - 9)² + (13 - 9)² + (14 - 9)² / 10 - 1
= 36 + 4 + 1 + 1 + 1 + 0 + 1 + 1 + 16 + 25/9
= 86/9
= 9.555555556
≈ Approximately 9.56
Variance = 9.56
Sample Standard deviation = √Sample Variance
= √9.56
= 3.0919249667
≈ Approximately 3.09
Answer:
# AB is bisected by CD
# AE = 1/2 AB
# CE + EF = FD
Step-by-step explanation:
* Lets talk about the mid point
- The mid-point of a segment is divided the segment into two
equal parts
- The figure has line segment AB
- E is the mid-point of AB
∴ E divides the line segment AB into two equal parts
∴ AE = EB
∴ AE = 1/2 AB ⇒ (1)
- Any line passes through the point E will bisects the line segment AB
∴ AB is bisected by CD ⇒ (2)
∵ F is the mid-point of CD
∴ F divides the line segment CD into two equal parts
∴ CF = FD
∵ Point E lies on CF
∴ CE + EF = CF
∵ CF = FD
∴ CE + EF = FD ⇒ (3)
* There are three statements must be true (1) , (2) , (3)
# AB is bisected by CD
# AE = 1/2 AB
# CE + EF = FD
Answer:
-4
Step-by-step explanation:
y = mx + b
