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Mice21 [21]
2 years ago
13

Let U = {3, 6, 9, 12, 15, 18, 21, 24} and A = {9, 12, 15, 21}. A'

Mathematics
1 answer:
miskamm [114]2 years ago
4 0

Answer:

A¹ = { 3 , 6, 18 , 24}

Step-by-step explanation:

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

<u>Universal set </u>

If all the sets under consideration are the subsets of a fixed set 'U' then the set 'U' is called the Universal set.

Given  U = {3, 6, 9, 12, 15, 18, 21, 24}

Given A = {9, 12, 15, 21}

<u><em>Compliment Of A</em></u>

The Complement of a set A is all the objects that do not belong to set A

The Compliment of A is denoted by A¹

A¹ = U - A

     = {3, 6, 9, 12, 15, 18, 21, 24} - {9, 12, 15, 21}

A¹ = { 3 , 6, 18 , 24}

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The product of x and 6 is at least -17
mr_godi [17]

The product of x and 6: 6(x)

is at least -17: ≥ 17

6x ≥ 17 is your answer

hope this helps

7 0
3 years ago
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer . Roy answered all t
katovenus [111]

Answer:

20 questions

Step-by-step explanation:

Given

Correct \Marks= +5

Incorrect\ Marks= -2

Score\ Obtained = 30

Number\ of\ correct\ answers = 10

Required

Number of questions answered

First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

Total = +5 * 10

Total = +50\ marks

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

Incorrect = Scores\ Obtained - Total

Incorrect = 30 - (+50)

Open bracket

Incorrect = 30 - 50

Incorrect = -20

Divide this by -2 to get the number of incorrect answers

Incorrect\ Answers = \frac{-20}{-2}

Incorrect\ Answers = 10

Add this to the number of correct answers to give the total number of question answered

Total = Correct\ Answers + Incorrect\ Answers

Total = 10 + 10

Total = 20

<em>Hence, Roy answered a total of 20 questions</em>

3 0
3 years ago
Round 248,739 to the nearest hundred
vampirchik [111]

Look at your hundredth spot which is where the 7 is. So…

248, 739

Since 3 is not 5 or higher you cant round 7 up to 8. So your correct answer is 248,700

Hope this helps!

7 0
3 years ago
liam has 8 3/4 gallons of paint. he wants to use 2/5 of paint to paint his livingroom. how many gallons of paint will liam use?​
slava [35]

<u>Answer:</u>

Liam will use 3.5 gallons of paint to paint his living room

<u>Solution:</u>

Given that Liam has 8 \frac{3}{4} gallons of paint.

He uses \frac{2}{5} of paint to paint his living room

We need to find how many gallons of paint will Liam use

The gallons of paint Liam used can be found as follows:

Amount of paint Liam has = 8 \frac{3}{4} gallons  

Converting mixed fraction 8 \frac{3}{4} to decimal we get 8.75

Amount of paint used = 2/5th of available amount  

= \frac{2}{5} \times 8.75=3.5 \text { or } 3 \frac{1}{2} \text { gallons }

Hence Liam will use 3.5 gallons of paint to paint his living room

3 0
3 years ago
The area of a circle is 201 cm². What is the diameter
natima [27]

Answer:

The diameter would be 16

Step-by-step explanation:

The area of a circle is a=r^{2}×π. Now just plug in the values you have which is you area. 201=r^{2}×π now divide by pi on both sides you that you get about 64=r^{2}. Now find the square root on both sides which will then give you 8 as your radius. To find diameter from radius you have to multiply by 2. 8*2=16

8 0
3 years ago
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