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Alexus [3.1K]
3 years ago
5

Given A = {1, 2, 3}, B = {2, 4, 6} and C = {1, 2, 3, 4, 5, 6}, then A ∩ (B ∩ C) = _____. {} {2} {1, 2, 3, 4, 5, 6, 7, 8}

Mathematics
2 answers:
Rufina [12.5K]3 years ago
6 0

<u><em>Answer:</em></u>

{2}

<u><em>Explanation:</em></u>

The symbol ∩ refers to intersection which means the common elements between two sets

<u>We are given that:</u>

A = {1, 2, 3}

B = {2 , 4, 6}

C = {1, 2, 3, 4, 5, 6}

Now, we are asked to get A ∩ (B∩C)

<u>1- Let's start with what's in the brackets:</u>

B∩C refers to the common elements between B and C

B∩C = {2, 4, 6} ∩ {1, 2, 3, 4, 5, 6} = {2, 4, 6}

<u>2- Now. let's consider A ∩ (B∩C):</u>

This means the common elements between set A and the set we got from part 1

A ∩ (B∩C) = {1, 2, 3} ∩ {2, 4, 6} = {2}

Hope this helps :)

omeli [17]3 years ago
6 0
<h2>Answer:</h2>

<u>The right choice is option </u><u>{2}</u>

<h2>Explanation:</h2>

As

A = {1, 2, 3} AND B = {2, 4, 6} and C = {1, 2, 3, 4, 5, 6},

Let us find  (B ∩ C)

(B ∩ C) =  B = {2, 4, 6} ∩ C = {1, 2, 3, 4, 5, 6}

(B ∩ C) = {2,4,6}

Now

A ∩ (B ∩ C) =  A = {1, 2, 3} ∩ (B ∩ C) = {2,4,6}

A ∩ (B ∩ C) = {2}

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Answer:

See below

Step-by-step explanation:

Use the formulae directly

For a cone, with base radius = r and height = h, here are the related formula

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\textrm{Lateral surface area} = \pi r l

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Therefore directly plugging in the numbers in the above equations:

Note:

l = slant height in cm
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r = 4, h = 8

\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA}  = 4\pi(4 + 8.944) =  4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04

Figure(b)

r = 7, h =15

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Figure (c)

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2 years ago
A couple intends to have two children, and suppose that approximately 52% of births are male and 48% are female.
Pachacha [2.7K]

a) Probability of both being males is 27%

b) Probability of both being females is 23%

c) Probability of having exactly one male and one female is 50%

Step-by-step explanation:

a)

The probability that the birth is a male can be written as

p(m) = 0.52 (which corresponds to 52%)

While the probability that the birth is a female can be written as

p(f) = 0.48 (which corresponds to 48%)

Here we want to calculate the probability that over  2 births, both are male. Since the two births are two independent events (the probability of the 2nd to be a male  does not depend on the fact that the 1st one is a male), then the probability of both being males is given by the product of the individual probabilities:

p(mm)=p(m)\cdot p(m)

And substituting, we find

p(mm)=0.52\cdot 0.52 = 0.27

So, 27%.

b)

In this case, we want to find the probability that both children are female, so the probability

p(ff)

As in the previous case, the probability of the 2nd child to be a female is independent from whether the 1st one is a male or a female: therefore, we can apply the rule for independent events, and this means that the probability that both children are females is the product of the individual probability of a child being a female:

p(ff)=p(f)\cdot p(f)

And substituting

p(f)=0.48

We find:

p(ff)=0.48\cdot 0.48=0.23

Which means 23%.

c)

In this case, we want to find the probability they have exactly one male and exactly one female child. This is given by the sum of two probabilities:

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- The probability that 1st child is a female and 2nd child is a male, namely p(fm)

So, this probability is

p(mf Ufm)=p(mf)+p(fm)

We have:

p(mf)=p(m)\cdot p(f)=0.52\cdot 0.48=0.25

p(fm)=p(f)\cdot p(m)=0.48\cdot 0.52=0.25

Therefore, this probability is

p(mfUfm)=0.25+0.25=0.50

So, 50%.

Learn more about probabilities:

brainly.com/question/5751004

brainly.com/question/6649771

brainly.com/question/8799684

brainly.com/question/7888686

#LearnwithBrainly

5 0
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