He should guess about 34 times.
When you are rolling two dice there are 36 probabilities. In order to get an 8, there are 5 possibilities.
2 + 6, 3 + 5, 4 + 4, 5, + 3, 6 + 2
Therefore, the chances of an 8 are 5/36. Multiplying this by 250 gives us about 34.
The law of large numbers helps because it says the more rolls that take place, the more likely we are to get close to the expected value. With 250 rolls we should get pretty close.
Answer:
1. Area of rectangular rug is 
2. Area of triangular room is 
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, rectangle and triangle.
step one
let us start by solving for the area of the rectangular rug
given data
Area A = ?
Length l = 11 ft
Width w= 10 ft
we know that the area of a rectangle is expressed as

substituting our given data we have

step two
let us solve for the area of the triangular room
given data
Area A = ?
base b = 30 ft
height h= 22 ft
we know that the area of a triangle is expressed as

substituting our given data we have

(3,-5)(-8,4)
slope(m) = (4 - (-5) / (-8-3) = (4 + 5) / -11 = -9/11
point slope form : y - y1 = m(x - x1)
there will be 2 answers because there is 2 sets of points
using (3,-5)
y - (-5) = -9/11(x - 3) =
y + 5 = - 9/11(x - 3) <=== here is one
using (-8,4)
y - 4 = -9/11(x - (-8) =
y - 4 = -9/11(x + 8) <== here is the other one