Question #1:
a)
(4, 2)
Both of these are positive, and when x and y are both positive they're both in Quadrant 1.
b)
(x + 1, y - 5)
Add 1 to 'x', subtract 5 from 'y':
(4 + 1, 2 - 5)
(5, -3)
x is positive and y is negative, that means this will be in Quadrant 4.
c)
Reflection Across y-axis:
(-x, y)
Multiply -1 to 'x':
(5 * -1, -3)
(-5, -3)
Both of these are negative, if both x and y are negative it's located in Quadrant 3.
Question #2:
No, that can't tessellate a plane. We can't cover up space so there are no overlaps or gaps.
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.
Hello there!
8 pound bag = $14.08
1 ounce = x
8x = 14.08
x = 14.08/8
x = 1.76
Thus, the price per ounce is $1.76
To double check if your answer is right or not, just multiply $1.76 by 8 and you'll see it equals to $14.08
Let me know if you have additional questions!