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STatiana [176]
3 years ago
7

Prove that A is in the subset B if P(A) is in the subset P(B)

Mathematics
1 answer:
natima [27]3 years ago
5 0
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.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
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Find the difference: -2/5-(-4/5)
CaHeK987 [17]

Answer:

2/5

Step-by-step explanation:

-2/5-(-4/5) (remove the parentheses)

-2/5+4/5 (calculate)

solution: 2/5

hope this helps!

5 0
3 years ago
Which expression is equivalent to –2(5x – 0.75)?
Zinaida [17]

Answer:

5(5x - 0.34

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Assume a normal distribution and that the average phone call in a certain town lasted 4 min, with a standard deviation of 1 min.
olya-2409 [2.1K]

SOLUTION

The mean is 4min

standard deviation is 1min

the z score is

z=\frac{x-\bar{x}}{\sigma}

where

\begin{gathered} x=3 \\ \bar{x}=4 \\ \sigma=1 \end{gathered}

then we have

\begin{gathered} z=\frac{3-4}{1}=\frac{-1}{1}=-1 \\ z=-1 \end{gathered}

The probability the call lasted less than 3 min will be

Therefore, the probability that (z < -1 ) is

[tex]\begin{gathered} Pr(z<-1)=Pr(0Hence, the percentage of the calls that lasted less than 3 min is 16%

4 0
1 year ago
In 1979, zoologists estimated the number of fish in a local pond to be about
rewona [7]

Answer:

693 fish

Step-by-step explanation:

In 10 years, we can tell that the amount of fish increased by 1.833...(990 divided by 540) times. If we divide 1.833... by 10, we can find how much the pond increases by yearly. we get 0.1833... If we multiply that by 7 (because the gap between 1986 and 1979 is 7 years), we get 1.2833... So, if we multiply 540 by 1.28333..., we get 693 fish.

4 0
3 years ago
What is bigger 3.345 or 3.35 or 3.3
Sidana [21]
3.35 is bigger then 3.345
8 0
3 years ago
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