Hi!
When you break the rule for the first time, de probability distribution of X is constant in [0, 2], and is zero outside. If the the value obtained is X = a, then the probability distribution of Y (conditioned on X = a) is constaint in interval [0, a], and zero outside. Then the region in the X-Y plane where the joint density is non-zero is the filled triangle in the figure.
<span>32-15x<2
Subtract 32
-15x<-30
Divide by -15 and flip the sign (always flip sign when dividing/multiplying negative numbers)
x>2</span>
3. Hypotenuse 8m, the usual 45/45/90 triangle sides in ratio 1:1:√2. So we're 8/√2 = 4√2 from the wall.
Answer: 4√2 meters
4. 30/60/90 right triangle, sides in ratio 1:√3:2. Hypotenuse 50m, we're after the side opposite 60, so 50/√3 = (50/3) √3
Answer: (50/3)√3 meters
5. 45/45/90 again, ratio 1:1:√2. Leg 3 cm so hypotenuse 3√2
Answer: 3√2 cm
6. The altitude divides the triangle into two 30/60/90 triangles, ratio 1:√3:2.
The side length s of the original equilateral triangle is the hypotenuse and the altitude h is the long leg, so h= (√3/2) s.
Answer: a. 3√3 cm b. 2√3 cm c. 5√3 cm
Answer:
Subtraction. 12 minus 10 is 2
Step-by-step explanation:
