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Alika [10]
3 years ago
15

Help please :)))))))))))))

Mathematics
1 answer:
natali 33 [55]3 years ago
6 0

Answer:

D is the correct answer

if you want explanation you can comment down

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Find the number of elements in A1 ∪A2 ∪A3 if there are 100 elements in A1, 1000 in A2, and 10,000 in A3 if a) A1 ⊆ A2 and A2 ⊆ A
Stella [2.4K]

Answer:

Step-by-step explanation:

Given that there are 3 sets such that  there are 100 elements in A1, 1000 in A2, and 10,000 in A3

a) If A1 ⊆ A2 and A2 ⊆ A3

then union will contain the same number of elements as that of A3

i.e. n(A1 ∪A2 ∪A3)=n(A3) =10000

b) If the sets are pairwise disjoint.

union will contain the sum of elements of each set

n(A1 ∪A2 ∪A3) = 100+1000+10000=11100

c) If there are two elements common to each pair of sets and one element in all three sets

We subtract common elements pairwise and add common element in 3

i.e. n(A1 ∪A2 ∪A3) = 100+1000+10000-2-2-2+1\\= 10995

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3 years ago
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Answer:

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4 0
3 years ago
2. A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyc
Scorpion4ik [409]

Answer

Step-by-step explanation:

  • The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
  • Let x represent the number of cyclists.
  • Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:
  • Revenue = 60x + 15000
  • Also, the cost of the race is $18 per entry, hence:
  • Cost = 18x
  • They need to raise at least $57,000, hence:
  • Profit ≥ 57000
  • Revenue - Cost ≥ 57000
  • (60x + 15000) - 18x ≥ 57000
  • 42x ≥ 42000
  • x ≥ 1000
  • Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists

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erastovalidia [21]

Step-by-step explanation:

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3 years ago
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The table below shows three unique functions.
bija089 [108]

Answer:

1,2,5

Step-by-step explanation:

On edg

6 0
3 years ago
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