They’re the same.
Give them common denominators by looking at their least common multiples. 6 and 21 are the denominators and they have to be the same to compare. Their least common multiple is 42.
So 1 4/6 will turn into 1 28/42. I know this because their least common multiple is 42. So I multiplied the 6 by 7 to get 42 as the denominator and you must also multiply the numerator by 6.
1 14/21 will need to be multiplied by 2 to get a denominator of 42. It will turn into 1 28/42. Both simplify down to 1 2/3.
Answer:
We can check this two ways: distributing the -0.5, and plugging in a number for x.
First, we can check this by distributing the -0.5. Our equation becomes:
-1.5x -2.5 = -1.5x + 2.5
Clearly, this is not true. We can show this one more time by plugging in a number for x. I will use 2.
Now, we evaluate both sides and see if they are equal.
-3 - 2.5 = -3 + 2.5
-5.5 = 0.5
Clearly, this is not true. These expressions are not equivalent.
Step-by-step explanation:
Answer:
B. 2/3
Step-by-step explanation:
To solve this we have to take into account this axioms:
- The total probability is always equal to 1.
- The probability of a randomly selected point being inside the circle is equal to one minus the probability of being outside the circle.
Then, if the probabilities are proportional to the area, we have 1/3 probability of selecting a point inside a circle and (1-1/3)=2/3 probability of selecting a point that is outside the circle.
Then, the probabilty that a random selected point inside the square (the total probability space) and outside the circle is 2/3.