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:


Answer:
- $5.5 per pound
- 
Step-by-step explanation:
Given
$11 for 2 pounds
Solving (a): Cost per pound
This is calculated by dividing $11 by 2 pounds


Hence, the cost per pound is $5.5 per pound
Solving (b): Represent as an equation.
If 1 pound costs $5.5 (as shown in (a))
Then
x pounds costs $5.5 * x


This cost is represented with y

FALSE.
The effect of adding +3 to the argument of a function f(x) is to shift the original f(x) horizoantally 3 units to the left.
<span>Dayson has 1 m2 of wrapping paper, which is 10000 cm2:
1 m = 100 cm
1 m^2 = (100 cm)^2
</span>1 m^2 = 10000 cm^2
<span>The package has a surface area of cm2:
A = 2*(50*20) + </span>2*(50*18) + 2*(18*20)
A = <span>
<span>4520 cm^2
</span></span>The area of the package is less than the area of the wrapping paper (4520 cm^2 < 10000 cm^2<span>). So, Dayson cover the package with the wrapping paper.</span>
Answer:
If the company produce and sell 'x' no. of thing-a-ma-bob , then
C(x) = $ (8809 + 2.05x)
R(x) = $ 4.92x
To make a profit the company must produce and sell at least 3070 thing-a-ma-bobs.
Step-by-step explanation:
If the company produces and sells "x" no. of thing-a-ma-bob, then,
the cost function is given by,
C(x) = $ (8809 + 2.05x) ------------------------(1)
The revenue function is given by,
R(x) = $ 4.92x -------------------------------------(2)
If C(x) = R(x), then,
4.92x = 8809 + 2.05x
⇒ 2.87x = 8809
⇒ x = 
⇒ x
3069.34
So, to make a profit the company must produce and sell at least 3070 thing-a-ma-bobs.