Answer:
Explanation contains the proof.
Step-by-step explanation:
.
.
We want to show that . So we are asked to show that there exist integer
So what is ?
.
.
So back to ....
(I use foil to get this)
Factoring out 8 gives us:
Now I could have factored some 8's out of 25. There are actually three 8's in 25 with a remainder of 1.
We have shown that there is integer .
The integer I found that is n is 8km+5k+5m+3.
Therefore .
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Answer:
C.Yes, because the joint probability of P and M is equal to 0.
Step-by-step explanation:
If M and P are two sample spaces of their respective events, such that ( A ∩ B ) = Ø [phi or the empty set represented by ‘Ø’ contains no element]. Then the probability of either A or B happening will be written as follows:
P ( M ∪ P) = P (M) + P ( P ) ; where the symbol ‘∪’ represents union or the word ‘or’. So the probability of occurrence of either A or B when A and B are mutually exclusive events is equal to the probability of occurrence of A plus the probability of occurrence of B.
Answer:
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Step-by-step explanation:njjjn
Answer:
4,5 (hope it helps)
Step-by-step explanation:
that should be the answer
Answers:
- Lateral Area = No lateral area (choice D)
- Surface Area = 25.97 square inches (choice E)
- Volume = 12.44 cubic inches (choice A)
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Explanation:
Lateral area only applies to prisms and cylinders. Spheres do not have lateral sides, so there is no lateral area.
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The radius is 1 & 7/16
Let's convert this to decimal form
1 & 7/16 = 1 + (7/16)
1 & 7/16 = 1 + 0.4375
1 & 7/16 = 1.4375
The radius is r = 1.4375 inches.
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SA = Surface area the sphere
SA = 4*pi*r^2
SA = 4*pi*(1.4375)^2
SA = 25.9672267773281
SA = 25.97 square inches (choice E)
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V = Volume of the sphere
V = (4/3)*pi*r^3
V = (4/3)*pi*(1.4375)^3
V = 12.4426294974698
V = 12.44 cubic inches (choice A)