Six is the base because 6^4 is 1296.
You start at the y axis and go down 7 so the coordinate is (0, 7) then you move to the right five spaces from (0, 7) and go up 4 from the spot you moved right 7. This should have a positive slope
Answer:
c = 0.165
Step-by-step explanation:
Given:
f(x, y) = cx y(1 + y) for 0 ≤ x ≤ 3 and 0 ≤ y ≤ 3,
f(x, y) = 0 otherwise.
Required:
The value of c
To find the value of c, we make use of the property of a joint probability distribution function which states that

where a and b represent -infinity to +infinity (in other words, the bound of the distribution)
By substituting cx y(1 + y) for f(x, y) and replacing a and b with their respective values, we have

Since c is a constant, we can bring it out of the integral sign; to give us

Open the bracket

Integrate with respect to y

Substitute 0 and 3 for y



Add fraction


Rewrite;

The
is a constant, so it can be removed from the integral sign to give


Integrate with respect to x

Substitute 0 and 3 for x




Multiply both sides by 


Answer:
$1680
Step-by-step explanation:
To find 7% of 24000, convert 7% to a decimal and multiply. Percent means per hundred, 7% is 7/100 is .07
.07 × 24000
= 1680