Answer:
Option C 5/12 is correct option
Step-by-step explanation:
We have to find the probability that shows yellow dice has a larger value than the red dice.
Probability= total no of favorable outcomes / total no of outcomes
in our case, considering the data set, we have to find those pair where value of yellow die is greater than the red die. Where (1,2) represents 1 on the red die and 2 on the yellow die
(1,2) (1,3) (1,4) (1,5) (1,6)
(2,3) (2,4) (2,5) (2,6)
(3,4) (3,5) (3,6)
(4,5) (4,6)
(5,6)
These are the possibilities where yellow die has greater value than red die.
total no of favorable outcomes = 15
total no of outcomes = 36
probability that yellow die has greater value than red die = 15 / 36
= 5/ 12
Option C 5/12 is correct option
Answer:
34
Step-by-step explanation:
Answer:
Solution set = {-12, 12}
Step-by-step explanation:
Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:

Now we consider the two possible cases:
1) The expression inside the absolute value symbol is a positive number, then :

and replacing it in the equation, this becomes:

which is our first answer.
2) The expression inside the absolute value symbol is a negative number, then :

and replacing it in the equation, this becomes:

which is our second possible answer.
Then the set of solutions is: {-12, 12}
The equation of the circle is given as (x-h)² + (y-k)² = r². Then the value of y will be ± √5/3.
<h3>What is an equation of a circle?</h3>
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at (h, k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x-h)² + (y-k)² = r²
The equation of the circle has the center at the origin and the radius is one unit. Then we have
x² + y² = 1
The point P = (-2/3, y) lies on the unit circle. Then the value of y will be
(-2/3)² + y² = 1
y² = 1 - 4/9
y² = 5/9
y = ± √5 / 9
Learn more about the equation of a circle here:
brainly.com/question/10165274
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Answer:145
Step-by-step explanation:1+3400÷64+2/4-65%