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The answer is 9/11.
<span>The addition rule is used to calculate the probability of one of the events from multiple pathways. If you want that only one of the events happens, you will use the addition rule. So, we need to calculate the probability of two different events - the one is that the object is green, and the other is that the object is a cube.
</span>1. T<span>he probability that the object is green:
There are 22 objects in total (7 blue cubes + 4 blue spheres + 5 green cubes + 6 green spheres = 22 objects).
There are 11 green objects (</span><span>5 green cubes + 6 green spheres = 11 green objects).
So, there are </span>11 green objects out of 22 objects. Therefore, t<span>he probability that the object is green is 11/22.
</span>2. T<span>he probability that the object is the cube:
There are 22 objects in total (7 blue cubes + 4 blue spheres + 5 green cubes + 6 green spheres = 22 objects).
There are 12 cube objects (7 blue cubes + </span><span>5 green cubes).
So, there are </span>12 cube objects out of 22 objects. Therefore, t<span>he probability that the object is green is 12/22.
Now, using the addition rule, we could calculate </span>the probability that the object <span>is green or a cube:
11/22 + 12/22 = 23/22
But, we counted 5 green cubes in both events and need to subtract them:
23/22 - 5/22 = 18/22 = 9/11
</span>
F(x)=(x−8)(x−2)
y=(x−5)2−9
(Pretend the 2 is an exponent)
Use the vertex form, y=a(x−h)2+ky=a(x-2+k, to determine the values of a,h, and k.
a=1
h=5
k=-9
Find the vertex (h, k).
(5, -9)
So you know that 30 + 30 + w + w = P. We also know the area is 240 square feet. Divide 240 by 30 to find the width of the area. 240 / 30 = 8. w = 8. So add 30 + 30 + 8 + 8 to find that P = 76. HOWEVER, remember that George is using part of his house as a wall instead of a fence. So subtract 8 from 76 to get 68 ft. George will need 68 ft. of fencing for his dog run.
Answer:
64*4=256
256/7= 1782
Answer 1789
That means that there are 1789 packages.