All categories

3 years ago

Form the intersection for the following sets. M=( ) N = {6, 7, 8, 9, 10) MON =

Mathematics

1 answer:

Annette [7]3 years ago

8 0

Answer:

M∩N = { }

Step-by-step explanation:

We have the two sets:

M={ } , N={6,7,8,9,10}

We have to find the intersection of these two sets.

The intersection of two sets is the set which contains the elements of both sets(common elements). We can denote it as M∩N

Every set contains an empty set.

In the given sets we can find the intersection as:

M = { } , N={6,7,8,9,10}

M∩N = { } ....

You might be interested in

Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG ind

Gemiola [76]

Answer:

(a)

$S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}$

(b)

$1\ girl = \{GBB, BBG, BGB\}$

$P(1\ girl) = 0.375$

ii.

$Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}$

$P(Atleast\ 2 \ girls) = 0.5$

iii.

$No\ girl = \{BBB\}$

$P(No\ girl) = 0.125$

Step-by-step explanation:

Given

$Children = 3$

$B = Boys$

$G = Girls$

Solving (a): List all possible elements using set-roster notation.

The possible elements are:

$S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}$

And the number of elements are:

$n(S) = 8$

Solving (bi) Exactly 1 girl

From the list of possible elements, we have:

$1\ girl = \{GBB, BBG, BGB\}$

And the number of the list is;

$n(1\ girl) = 3$

The probability is calculated as;

$P(1\ girl) = \frac{n(1\ girl)}{n(S)}$

$P(1\ girl) = \frac{3}{8}$

$P(1\ girl) = 0.375$

Solving (bi) At least 2 are girls

From the list of possible elements, we have:

$Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}$

And the number of the list is;

$n(Atleast\ 2 \ girls) = 4$

The probability is calculated as;

$P(Atleast\ 2 \ girls) = \frac{n(Atleast\ 2 \ girls)}{n(S)}$

$P(Atleast\ 2 \ girls) = \frac{4}{8}$

$P(Atleast\ 2 \ girls) = 0.5$

Solving (biii) No girl

From the list of possible elements, we have:

$No\ girl = \{BBB\}$

And the number of the list is;

$n(No\ girl) = 1$

The probability is calculated as;

$P(No\ girl) = \frac{n(No\ girl)}{n(S)}$

$P(No\ girl) = \frac{1}{8}$

$P(No\ girl) = 0.125$

7 0

2 years ago

2. Both the populations of the Candy Kingdom and the Fire Kingdom are in decline; their populations

VMariaS [17]

Answer:2. Both the populations of the Candy Kingdom and the Fire Kingdom are in decline; their populations

since 2010 are given by the functions below:

Cit) 1000 - 500

F(t) = 2500 - 1000

Will their populations ever be equal? If so, when will that happen and what will that population be?

Otherwise, briefly explain why their populations will never be equal.

Step-by-step explanation:

4 0

3 years ago

Which explains why the graph is not a function?

german

The statements that apply to the ratio of rice and water are:

The ratio of rice to water is 1 to 2.5
The ratio of water to rice is 2.5 to 1

<h3>Ratios</h3>

Ratios are used to compare quantities of different measurements

The entries on the table are given as:

<u>Rice Water</u>

2 5

3 7.5

5 12.5

8 20

<h3>The ratios of both quantities</h3>

The ratio (r) of rice and water is then calculated as:

$r = \frac{Water}{Rice}$

Pick any corresponding table entry.

So, we have:

$r = \frac{5}{2}$

Divide

$r = 2.5$

This means that, the ratio of rice to water is 1 to 2.5, and the ratio of water to rice is 2.5 to 1