<span>reflection over the x-axis and a translation 4 units down
Refelcting f(x) over the x axis gives
-f(x)=-3x-1
Subtracting a constant from -f(x) moves the graph of -f(x) that many units down.
-f(x)-4=-3x-5=g(x)
This shows that g(x) is obtained by reflecting f(x) over the x-axis and then translating 4 units down.</span>
Answer:
67%
Step-by-step explanation:
Cost plus markup = selling price.
Here, the cost was $30 and the selling price was $50. Subtracting $30 from $50, we get $20, which was the dollar amount of the markup.
We now compare this $20 to the original cost ($30):
$20
------- * 100^ = 67%
$30
The markup, as a percentage, was 67%.
Answer:
14 in
Step-by-step explanation:
Answer:
68% Confidence interval = [4.5752, 4.5848]
95% Confidence interval = [4.5688, 4.5918]
Step-by-step explanation:
Sample mean (X) = 4.580
Sample Standard Deviation (S) = 0.01065
Sample size (n) = 6
for alpha/2 0.84 = 1.1037
for alpha/2 0.975 = 2.5706
68% Confidence interval = ![[x-T_{(5)}\frac{S}{\sqrt{n}}, x+T_{(5)]\frac{S}{\sqrt{n}}]](https://tex.z-dn.net/?f=%5Bx-T_%7B%285%29%7D%5Cfrac%7BS%7D%7B%5Csqrt%7Bn%7D%7D%2C%20x%2BT_%7B%285%29%5D%5Cfrac%7BS%7D%7B%5Csqrt%7Bn%7D%7D%5D)
= [4.5752, 4.5848]
95% Confidence interval = ![[x-T_{(5)}\frac{S}{\sqrt{n}}, x+T_{(5)}\frac{S}{\sqrt{n}}]](https://tex.z-dn.net/?f=%5Bx-T_%7B%285%29%7D%5Cfrac%7BS%7D%7B%5Csqrt%7Bn%7D%7D%2C%20x%2BT_%7B%285%29%7D%5Cfrac%7BS%7D%7B%5Csqrt%7Bn%7D%7D%5D)
= [4.5688, 4.5918]
