Answer: 5/18
Step-by-step explanation:
The sample space when two 6- sided dice are rolled is given below:
(+) 1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
The total sample space is 36.
Sum greater than 8 are : {9,10,11,12}
which are 10 in number:
Therefore : the probability that the sum of the two numbers on the dice will be greater than 8 will be :
number of the sum greater than 8 / Total sample space
That is ;
P(sum greater than 8) = 10/36
P(sum greater than 8) = 5/18
Answer: 75 feet²
Step-by-step explanation:
The scale means that for every one unit in the scale drawing, it is 30 units in the actual room. We will convert the dimensions using proportions.
x = 90
-
x = 120
The area of a rectangle can be found by multiplying the length by the width:
A = L * W
A = 90 * 120
A = 10,800 inches²
To get this into square feet, we will divide by 144. Why? There are 12 inches in a foot. 12 times 12 is 144.
10,800 inches² / 144 = 75 feet²
The area of the room, in square feet, is 75 feet².
7. Irrational
8. Not a real number, but answer would be 4i
9. Undefined
10. Rational
11. Rational
12. Rational
13. Irrational
14. Rational
The answer is the square root of 23 i.
(The “i” is outside of the square root symbol, and the 23 is positive).
Hope this helps! (:
