Answer: Distance from Cleveland to Cincinnati on the second map is 8 km.
Step-by-step explanation:
Since we have given that
The scale on the first map is

That means

Distance from Cleveland to Clncinnati = 40 cm
So,

Similarly, Scale on the second map is given by

So, our 400 km in second map will be

Hence, Distance from Cleveland to Cincinnati on the second map is 8 km.
a.

is a proper joint density function if, over its support,
is non-negative and the integral of
is 1. The first condition is easily met as long as
. To meet the second condition, we require

b. Find the marginal joint density of
and
by integrating the joint density with respect to
:


Then


c. This probability can be found by simply integrating the joint density:


<h3><em><u>A. 4xy-16</u></em></h3>
<em><u>=4(xy−4)</u></em>
<h3 /><h3><em><u>B. xy+2xy-x</u></em></h3>
<em><u>3xy−x</u></em>
<em><u>=x(3y−1)</u></em>
<h3><em><u>C. 2x²-18x+12</u></em></h3>
<em><u>2x²</u></em><em><u>−18x+12</u></em>
<em><u>=2(</u></em><em><u>x²</u></em><em><u>−9x+6)</u></em>
<h3><em><u>D. 5xy+20x-9y-36</u></em></h3>
<em><u>5xy+20x−9y−36</u></em>
<em><u>=(y+4)(5x−9)</u></em>
To solve this we need to figure out what 7.5% of 15,500 is. (It’s 1162.5). Now we know that after one year it is a total of 16,662.5. We then figure out what 7.5% of 16,662.5 is, which is 1,249.6875. You then add that to 16,662.5 which comes out to 17,912.1875. We then figure out 7.5% of that is 1,343.4140625. We then add that to the last total which is 19,255.6015625 and we simplify that to 19,256 and we find out that the final total is $19,256. But it wants how much have we earned which means we need to subtract the original from the new, which is 3756 and we add a unit.
Meaning the final answer is $3,756.