Answer:
≈ 12.6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the third side, then
x² + 6² = 14²
x² + 36 = 196 ( subtract 36 from both sides )
x² = 160 ( take the square root of both sides )
x = ≈ 12.6 ( to the nearest tenth )
Answer:
The probability that you will get a sum of 4 before you get a sum of 5 is
Step-by-step explanation:
Given : If you roll two fair dice repeatedly.
To find : What is the probability that you will get a sum of 4 before you get a sum of 5 ?
Solution :
When two dice are rolled the outcomes are
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
Total number of outcomes = 36
Favorable outcome get a sum of 4 before you get a sum of 5 is (1,3) ,(2,2) and (3,1) = 3
The probability that you will get a sum of 4 before you get a sum of 5 is
Therefore, The probability that you will get a sum of 4 before you get a sum of 5 is