D is the answer for this question:))
Answer:
H0 : μd = 0
H1 : μd ≠ 0
Test statistic = 0.6687 ;
Pvalue = 0.7482 ;
Fail to reject H0.
Step-by-step explanation:
H0 : μd = 0
H1 : μd ≠ 0
Given the data:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
Difference = -1 2 24 35 -18 -9
Mean difference, d ; Σd / n
d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))
d = Σx / n = 33 / 6 = 5.5
Test statistic = (d / std / sqrt(n))
std = sample standard deviation = 20.146
Test statistic = 5.5 ÷ (20.146/sqrt(6))
Test statistic = 0.6687
The Pvalue :
P(Z < 0.6687) = 0.7482
At α = 0.05
Pvalue > α ; Hence we fail to reject H0
The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.
Find the Greatest Common Factor (GCF)
<u>GCF = 6y^6</u>
Factor out the GCF. (Write the GCF first. Then, in parenthesis divide each term by the GCF.)
6y^6(24y^8/6y^6 + 6y^6/6y^6)
Simplify each term in parenthesis
<u>6y^6(4y^2 + 1)</u>
Answer:
y = 4x+3x^2
Step-by-step explanation:
For an equation to be linear, x must have a power of 1
y = 4x+3x^2 has a power of x that is not x ( x^2) so this is not linear ( it is quadratic)
So we will be using
form, in which m = slope and b = y-intercept. Since we know the slope (-8), all we need to do is solve for the y-intercept. We can do this by inserting (-2,2) into the equation and solve for b.

Firstly, do the multiplication: 
Next, subtract 16 on both sides, and your answer will be -14 = b
Using the previous info we have, our equation is y = -8x - 14