It would have the be B. 16
Answer:
Step-by-step explanation:
Downtown Store North Mall Store
Sample size n 25 20
Sample mean $9 $8
Sample standard deviation s $2 $1
Standard error of difference of means =
Standard error of difference of means =
Standard error of difference of means =
Degree of freedom =
Degree of freedom =
Degree of freedom =36
So, z value at 95% confidence interval and 36 degree of freedom = 2.0280
Confidence interval =
Confidence interval =
Confidence interval =
Hence Option A is true
Confidence interval is
Answer:
(0,−4)
Step-by-step explanation:
Answer:
-4 ± 2√6
Step-by-step explanation:
Rewritten in standard quadratic form, x^2+8x-2=18 becomes x^2 + 8x - 20 = 0.
Here the quadratic coefficients are a = 1, b = 8 and c = -20 and so the discriminant is b^2 - 4ac, or 8^2 - 4(1)(-20), or 96.
Because the discriminant is positive, we know that this quadratic has two different real roots. These roots are:
-b ± √(b² - 4ac)
x = -------------------------
2a
which in this case comes out to:
-8 ± √96 -8 ± 4√6
x = ------------------ = ------------------- = -4 ± 2√6
2 2
Answer:
Step-by-step explanation:
7. The horizontal translation is 3 units to the right, this is determined by the value that is being added or subtracted to x directly. In this case, x is being subtracted by 3 meaning that it is translated 3 units to the right.
8. It is being translated 2 units up. This is determined by the number that is added to the quadratic equation. In this case, it is increased by 2 which means an upward translation. If it was being subtracted it would be a downward translation.
9. Yes, when a quadratic equation has a negative sign outside of it which changes its values it means that it is being reflected.