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vfiekz [6]
3 years ago
14

4d^-3 multiplyed by d^18

Mathematics
1 answer:
Verdich [7]3 years ago
6 0
4*d^(-3)*d^18 = 4*d^(18-3) = 4*d^(15).  The trick here is to combine the exponents.

Another way to write this problem would be:

4*d^18
---------- .  Here d^18 divided by d^3 results in d^15, so again the final 
  d^3         answer is 4*d^15.
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If P(A) = 0.2, P(B) = 0.2, and P(A ∪ B) = 0.4, then P(A ∩ B) = _______.
Pavlova-9 [17]

Answer:

P(A ∩ B) = 0.

a) NO

b) YES

Step-by-step explanation:

Thinking about this through Venn diagrams we can sort of understand that:

if P(A) = 0.2 and P(B) = 0.2, and P(A∪B) = 0.4.

there's no overlapping between P(A) and P(B).

(If there was overlapping then P(A∪B) < 0.4, since you'd be excluding the overlapped part from getting counted twice.

Think of it in terms of calculating areas circles A and B, if the circles were disjoint, then the sum of the areas A and B would be 0.2+0.2. But if the circles were overlapping then the sum of the areas would be 0.2+0.2-P(A ∩ B), where P(A ∩ B) is the overlapping part)

since there's no overlapping P(A ∩ B) = 0.

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3 years ago
The graph represents a functionE(t). Describe why the graph represents a function. Identify the
barxatty [35]

Answer:

Domain: [0, ∞)

Range: [7850, ∞)

Step-by-step explanation:

A function is defined by the set of ordered pairs having different output values for every input value.

In the graph attached, for every input value (x-coordinates) there is a unique output (y-coordinates) value.

Therefore, graph represents a function.

Domain of the given function → [0, ∞)

Range of the function → [7850, ∞)

6 0
3 years ago
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