Answer:
the first one and the third one
Step-by-step explanation:
Show that if p(a) ⊂ p(b) then a ⊂ b.
<span>I will assume p() means power set. </span>
<span>proof: let x∈a, then {x} ∈ p(a) and so by hypothesis {x} ∈ p(b). However {x} could not be in p(b) unless x∈b. This shows that each element of a is an element of b and hence a ⊂ b.
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</span>
Answer: 0.3023
Step-by-step explanation:
86 band members
26 are senior, 17 plays trumpet. If 4 are seniors and play trumpet, we solve this using the bayes theorem of conditional probability.
Probability of choosing band member that plays trumpet =17/86 = 2/43.
Probability of choosing a senior that plays trumpet = 4/26
Probability that a chosen member is a senior given that he plays trumpet = (2/43)/(4/26)
= 0.3023.
T = na
because, total equals to ounces of the material times the amount payed.
Answer:
1/6 hours
Step-by-step explanation:
Since it wants a fraction form all you have to do is subract 1/3 from 1/2
1/2 - 1/3
cross multiply:
3/2-2/3
subtract the numerator but multiply the denominator and simplify if you have to:
1/6