It’s A for the value of the function u asking for
Answer:
A) 264 ft^2, 4 gallons
Step-by-step explanation:
Area of rectangle = 12 ft x 18 ft = 216 ft^2
Area of triangle = 1/2 (28- 18)(12) = 1/2(10)(12) = 60 ft^2
Area of window: 3 ft x 4 ft = 12 ft^2
Areas will be painting = (216 + 60) - 12 = 264 ft^2
1 gallon of paint will cover 70 ft^2 so 264 ft^2 / 70 ft^2 = 3.77 gallons
So Mr. Williams will need 4 gallons of paint to cover 264 square feet of his barn
(a) If <em>f(x)</em> is to be a proper density function, then its integral over the given support must evaulate to 1:

For the integral, substitute <em>u</em> = <em>x</em> ² and d<em>u</em> = 2<em>x</em> d<em>x</em>. Then as <em>x</em> → 0, <em>u</em> → 0; as <em>x</em> → ∞, <em>u</em> → ∞:

which reduces to
<em>c</em> / 2 (0 + 1) = 1 → <em>c</em> = 2
(b) Find the probability P(1 < <em>X </em>< 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

The two diagonals<span> are </span>equal<span> in length and bisect each other. Every </span>quadrilateral<span> with both these properties is a </span>rectangle<span>. A </span>rectangle<span> is rectilinear:which means its sides meet at right angles.</span>
Answer:
24
Step-by-step explanation:
30 secs = 0.5 min
thus 84 / 3.5 min = 168 / 7 = 24