a. The marginal densities

and

b. This can be obtained by integrating the joint density over [0.25, 1] x [0.5, 1]:

Well if your talking about everyday than the answer is 278,860
If your talking about each week than the answer is 278,860.764
<span>10x-5y=25 solve for y
so
10x - 5y = 25
5y = 10x - 25
y = 2x - 5
hope it helps</span>
Answer:
24
Step-by-step explanation:
Area of the kitchen = Area small rectangle + area large rectangle + area triangle
Area small rectangle = (8-4)*1.5
Area large rectangle = (8-4)* 3
Area triangle = (1/2)*base*height = (1/2)*4*3
Area of the kitchen = (8-4)*1.5 + (8-4)* 3 + (1/2)*4*3 = 24 cm²
I was confused at first until I realized that you'd shared not one, not two, but three questions in one post. would you please post just one question at a time to avoid this.
I'll focus on your second question only: Solve <span>3 + |2x - 4| = 15.
Subtr. 3 from both sides. Result: |2x - 4| = 12
Divide all terms by 2, to reduce: |x - 2| = 6
Case 1: x-2 is already +, so we don't need | |:
x - 2 = 6 => x = 8 (first answer)
Case 2: x-2 is negative, so |2x-4| = -(2x-4) = 6
Then -2x + 8 = 6. Subtr. 8 from both sides: -2x = -2
Div both sides by -2: x = 1 (second answer)
Be sure to check these results by subst. them into the original equation.
Please post your other questions separately. Thanks and good luck!
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