Compute the VC dimension of the following hypothesis sets. (i) H = {h : R → {−1, +1}|h(x) = +1, ∀x ∈ [a, [infinity]), a ∈ R} ∪ {h : R → {−1, +1}|h(x) = +1, ∀x ∈ (−[infinity], a], a ∈ R}. To clarify, the first subset is the positive ray, and the second subset is the negative ray. So the union is the set of all positive rays and negative rays. (ii) H = {h : R → {−1, +1}|h(x) = +1, ∀x ∈ [a, b], a, b ∈ R} ∪ {h : R → {−1, +1}|h(x) = −1, ∀x ∈ [a, b], a, b ∈ R}. So this is the union of the positive intervals and the negative intervals. (iii) H = {h : R 2 → {−1, +1}|h(x) = +1, ∀x where kxk2 ≤ b, b ∈ R}. Note that this is a concentric circle. (iv) H = {h : R 2 → {−1, +1}|h(x) = +1, ∀x where kx − ak2 ≤ b, a ∈ R 2 , b ∈ R}.

12cm

the answer is d

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

1st part is 64,000,000

2nd part 500,000

step-by-step explanation:

arc length = radius * x ( in radians)

6 * pi = 18 * x

divide by 18 on each side

6 pi / 18 = x

pi/3 = x

the angle is pi / 3 radians

or   60 degrees