Answer:
1/2 and 13/18 respectively
Step-by-step explanation:
even-number results:
2, 4 6 ,8, 10 and 12
the combinations of each result are respectively
1+3+5+5+3+1 = 18
The total number of combinations on a roll pair is 36
then the probability of obtaining an even result is:
p = 18/36 = 1/2 or 0.5
so that the result is less than nine, we eliminate the combinations of results 9, 10, 11 and 12:
4 + 3 + 2 + 1 = 10
36 -10 = 26
the probability of obtaining a result less than nine is:
p = 26/36 = 13/18 or 0.72
Hope this helps
Answer: B. 5root(3)
Use Pythagorean’s theorem to solve this problem. We know one side and the hypotenuse, so we can solve for the other side.
a² + b²= c²
5² + b² = 10² (plug in 5 for one side, and 10 for the hypotenuse)
25 + b² = 100 (square 5 and 25)
b² = 75 (subtract 75 from both sides)
b=√(75) (take the square root of both sides)
b=√(25*3) (factor out a square)
b=5√(3) (simplify radical)
Answer:
The domain of the function is 0 less-than-or-equal-to x less-than infinity ⇒ 3rd answer
Step-by-step explanation:
The domain of the function f(x) = y is all the values of x which make the function defined
∵ 
- There is no square root for negative number, that means x
must be non-negative number
∵ The non negative numbers start from zero till infinity
∴ 0 ≤ x < ∞
∴ x must be greater than or equal zero and less than infinity
- Values of x are the domain of the function
∴ The domain of the function is 0 ≤ x < ∞
The domain of the function is 0 less-than-or-equal-to x less-than infinity
A:B:C = 2:4:4
A = 210km
So B & C = 210*2 = 420km
Total distance = 210 + 420 + 420
= 1050km
Answer:
m< 6 = m< 7 (vertical angles)
11x + 8 = 12x – 4
12x - 11x = 8 + 4
x = 12
so
m< 6 = 11x + 8
m< 6 = 11(12) + 8
m< 6 = 132 + 8
m< 6 = 140
m<4 = 180 - m<6
m<4 = 180 - 140
m<4 = 40
answer
m<4 = 40Step-by-step explanation: