Answer:
The number of robberies in 2014 is 108
Step-by-step explanation:
Here, we want to calculate the number of robberies in 2014
from the question, the robberies went down by 40%
Let the number of robberies in 2014 be x
Thus;
40/100 * 180
= 72
This means that the value it went down was by 72
Thus;
x = 180-72
x = 108
<h2>INVERSE VARIATION</h2>
<em>E</em><em>Q</em><em>U</em><em>A</em><em>T</em><em>I</em><em>O</em><em>N</em><em>:</em><em> </em><em> </em><em> </em><em> </em>

<em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em>
First, find the constant of variation <em>k</em> using the formula k=xy.



<em>–</em><em>–––––––</em>
Then, find <em>y</em> if <em>x</em> is equal to four using the formula y=184/x.



<em>F</em><em>i</em><em>n</em><em>a</em><em>l</em><em> </em><em>A</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em>:</em>
<h2>y = 46</h2>
Answer:
the mark up used by the retailer is 115.12% of the wholesale price
Step-by-step explanation:
Mark-up is the percentage increase of the retail price over the wholesale price
Mark-up = (difference between retail and whole sale price / retail price ) x 100
difference between retail and whole sale price = $9.25 - $4.30 = $4.95
(4.95 / 4.3) x 100 = 115.12%.
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.