Answer:
0.33
Step-by-step explanation:
We can think of this in tems of a venn diagram.
We have a rectangle, which represents the probabilities combined, which is 1.
Then we have two interlocking circles, the first representing the probability the yankees win, the second representing the probability the yankes score 5 or more runs, and the overlap representing the probability of both.
Therefore, the probability of losing and scoring less than 5 runs must be the area outside the circles but inside the rectangle.
The union of 'winning' and 'scoring 5 or more runs' is equal to the sum of the probability of either, minus the probability of both, which is 0.48+0.57-0.38 = 0.67.
Therefore the probability neither happen is 1-0.67 = 0.33
A) The two-digit whole number is 70 because when we multiply 70 with 10 we get 700.
B) The two-digit whole number is 14 because when we multiply 100 with 14 we get 1400.
Answer:
Step-by-step explanation:
Note how this drawing is symmetrical about a horizontal line drawn halfway between AB and CD and passing through the origin.
Line AB has been subdivided into two equal pieces of length 15, so the length of AB is twice 15, or 30. Due to the symmetry shown, line CD has the same length: 30.
Answer:
(x, y) = (0, -3)
Step-by-step explanation:
The point Y is on the y-axis. Its x-coordinate will be zero, since it is neither left nor right of the y-axis.
The point Y is 3 units below the x-axis, so its y-coordinate is -3. This is the value you can read on the y-axis next to point Y.
(x, y) = (0, -3)
_____
U(-5, 0)
V(-3, 3)
W(5, 5)
X(-4, -5)
Y(0, -3)
Z(2, -1)
It is a good idea to learn to read coordinates from a graph. You will be doing it a lot. The x-coordinate is the number of units right of the y-axis. The y-coordinate is the number of units up from the x-axis. Left or down makes the coordinate negative.
The maximum height is 144 feet.
The maximum height is the y-coordinate of the vertex. To find the vertex, we first use x = -b/2a. For our information, that is x=-64/2(-16) = -64/-32 = 2.
Now we substitute this into the equation:
y = -16(2²) + 64(2) + 80 = -64 + 128 + 80 = 144
