Find the volume of the cone Vc
Find volume of sphere Vs
Volume of shaded figure Vsh=Vc-Vs
For any triangle, the 2 shortest sides added together have to be longer than the longest sides.
short side (10) + short side (5) needs to be greater than (>) longest side (20)
10 + 5 > 20
15 > 20
This inequality is incorrect, so the lengths cannot make a triangle.
Hope this helps :)
Answer:
24.75 = 3*4.50 + x*4.50
x= 2.5 pounds of Granny Smith apples
Step-by-step explanation:
Gala apples = 3 lbs
Granny apples = x lbs
They cost 4.50 a pound
Total cost = 24.75
Total cost = gala apples * cost per pound + granny apples * cost per pound
Substitute in what we know
24.75 = 3*4.50 + x*4.50
24.75 = 13.50 + 4.5x
Subtract 13.50 from each side
24.75-13.50 = 13.50-13.50 + 4.5x
11.25 = 4.5x
Divide by 4.50 on each side
11.25/4.5 = 4.5x/4.5
2.5 =x
Let's think of an example which would better help visualize this situation.
1) Someone exercises a lot so they can concentrate more on their homework (here running and concentration on homework are dependent events)
2) Someone exercises a lot because they wear a blue t-shirt (here, you can clearly see that wearing a blue shirt and exercising are not related. These events are independent).
Now concentrating on P(a | b) = Probability a occurred if b occurred.
It does not matter if b occurred (just like it didn't matter that the person wore a blue shirt which meant that they exercised) for the outcome a to occur.
Therefore, probability of P(a | b) = P(a)
P(a | b) = 0.65
Hope I helped :)
