Answer:
The 99% lower confidence bound for the true average weight loss is 3.98 pounds.
This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 11 - 6.02 = 3.98 pounds
The 99% lower confidence bound for the true average weight loss is 3.98 pounds.
This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.
Answer:
v = 6
Step-by-step explanation:
Solve for v:
-8 (8 v + 1) - 2 = -394
-8 (8 v + 1) = -64 v - 8:
-64 v - 8 - 2 = -394
Grouping like terms, -64 v - 8 - 2 = -64 v + (-8 - 2):
-64 v + (-8 - 2) = -394
-8 - 2 = -10:
-10 - 64 v = -394
Add 10 to both sides:
(10 - 10) - 64 v = 10 - 394
10 - 10 = 0:
-64 v = 10 - 394
10 - 394 = -384:
-64 v = -384
Divide both sides of -64 v = -384 by -64:
(-64 v)/(-64) = (-384)/(-64)
(-64)/(-64) = 1:
v = (-384)/(-64)
The gcd of -384 and -64 is -64, so (-384)/(-64) = (-64×6)/(-64×1) = (-64)/(-64)×6 = 6:
Answer: v = 6
Answer:
Step-by-step explanation:
You have to do 1296 divided by 24 = 54
54 is how much bracelets you can make
Answer:
6 cartons
Step-by-step explanation:
4 is 40% of 10
so you need to find 40% of 15
15*.4=6
.4 is equal to 40%
A dilation is a transformation, with center O and a scale factor of k
that is not zero, that maps O to itself and any other point P to P'.
The center O is a fixed point, P' is the image of P, points O, P and P'
are on the same line.
Thus, a dilation with centre O and a scale factor of
maps the original figure to the image in such a way that the
distances from O to the vertices of the image are
times the distances
from O to the original figure. Also the size of the image are <span>
times the
size of the original figure. Also the two resulting figures (i.e. the image and the pre-image are congruent)
Thus in the dilation of triangle DEF, the following are true.</span>
<span>∠F corresponds to ∠F'.
The measure of ∠E' is the measure of ∠E.
△DEF ≈ △D'E'F'</span>