You would subtract 3/8-2/8, which equals 1/8. For drawing a model draw fraction strips to help.
:)
Answer:
1 11/15
Step-by-step explanation:
Answer:
a) )12,6)
b) (12,2)
c) (4,-7)
d) (9,-7)
Step-by-step explanation:
a) Dilation
When we dilate, we multiply the given scale factor by each of the coordinates
We have this as follows;
(20 * 3/5, 10 * 3/5) = (12, 6)
2. Here, we will add 5 to the x-axis value and subtract 6 from the y-axis value
We have this as;
(7+ 5, 8-6) = (12,2)
3. By reflecting across the x-axis
we have (x,y) changing to (x,-y)
so we have ;
(4,7) becomes (4,-7)
4. Rotation by 270 degrees (7,9)
If clockwise;
(x,y) becomes (y,-x)
so we have
(7,9) becoming (9,-7)
She should have to pay $380.25 in interest for the jet ski.
Answer:
We cannot say that the mean wake time are different before and after the treatment, with 98% certainty. So the zopiclone doesn't appear to be effective.
Step-by-step explanation:
The goal of this analysis is to determine if the mean wake time before the treatment is statistically significant. The question informed us the mean wake time before and after the treatment, the number of subjects and the standard deviation of the sample after treatment. So using the formula, we can calculate the confidence interval as following:
![IC[\mu ; 98\%] = \overline{y} \pm t_{0.99,n-1}\sqrt{\frac{Var(y)}{n}}](https://tex.z-dn.net/?f=IC%5B%5Cmu%20%3B%2098%5C%25%5D%20%3D%20%5Coverline%7By%7D%20%5Cpm%20t_%7B0.99%2Cn-1%7D%5Csqrt%7B%5Cfrac%7BVar%28y%29%7D%7Bn%7D%7D)
Knowing that
:
![IC[\mu ; 98\%] = 98.9 \pm 2.602\frac{42.3}{4} \Rightarrow 98.9 \pm 27.516](https://tex.z-dn.net/?f=IC%5B%5Cmu%20%3B%2098%5C%25%5D%20%3D%2098.9%20%5Cpm%202.602%5Cfrac%7B42.3%7D%7B4%7D%20%5CRightarrow%2098.9%20%5Cpm%2027.516)
![IC[\mu ; 98\%] = [71.387 ; 126,416]](https://tex.z-dn.net/?f=IC%5B%5Cmu%20%3B%2098%5C%25%5D%20%3D%20%5B71.387%20%3B%20126%2C416%5D)
Note that
so we cannot say, with 98% confidence, that the mean wake time before treatment is different than the mean wake time after treatment. So the zopiclone doesn't appear to be effective.