Answer:
x=45
Step-by-step explanation:
Since AB is a straight line, it is 180 degrees
AOE + EOF + FOD + DOB = 180
15+x+2x+120-2x = 180
Combine like terms
135 +x = 180
Subtract 135 from each side
135-135 +x = 180 -135
x = 45
Answer:
D. Undefined
Step-by-step explanation:
4-4 = 0, 10-6 = 4
Change of x = 0
Change of y = 4
Since the change of x is 0 (a horizontal line), it is undefined.
Answer:
(5.4582 ; 6.8618)
Step-by-step explanation:
Given the data:
6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5
Sample mean, xbar = Σx / n
n = sample size = 50
ΣX = 308
xbar = 308 / 50 = 6.16
Using a Calculator :
The sample standard deviation, s = 2.469
Confidence interval = xbar ± margin of error
Margin of Error = Tcritical * s/sqrt(n)
Tcritical at 95% ; df = 50 - 1 = 49
Tcritical = 2.010
Hence,
Margin of Error= 2.010 * (2.469/sqrt(50)) = 0.7018
Lower boundary : (6.16 - 0.7018) = 5.4582
Upper boundary : (6.16 + 0.7018) = 6.8618
(5.4582 ; 6.8618)
The answer is 155 because 124/4 is 31 so the average rate of change is 31 so multiply by 5 and it gives you 155
