I believe the answer would be D.
Answer:
{12,2}
Step-by-step explanation:
From the given graph it is clear that the initial point of the vector is (-5,0) and the terminal point (7,2).
If initial point of a vector is
and terminal point is
, then

Using this formula, we get



Using braces, we get

Therefore, the required vector is {12,2}.
Answer:
0.5613
Step-by-step explanation:
Here mean strain of bacteria x = sum of all numbers/ total numbers = 0.5514 %
Standard deviation s = 0.0040 %
Test statistic
G = (x_{max} -x)/s = (0.5613 - 0.5514)/ 0.0040 = 2.475
95% confidence value for outlier for n = 8 and alpha = 0.05
G_{critical} = 2.1266
so here we see that G > G_critical , so we reject that the there is no outlier . the value of 0.5613 is and outlier.
Answer:
As traffic volume increases, vehicle speed increases.
Step-by-step explanation:
We can turn this word problem into the following equation:
x^2 + 85 = (x - 17)^2
x^2 + 85 = x^2 - 34x + 289
-85 -85
_______________________
x^2 = x^2 - 34x + 204
+34x +34x
_______________________
x^2 + 34x = x^2 + 204
-x^2 -x^2
____________________
34x = 204
Divide 34 on both sides
x = 6.
The number is 6.