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vitfil [10]
3 years ago
5

1 Draw the Venn diagram below. Write the numbers 8, 9, 10, 11, 12 and 13 in the correct places on your Venn diagram. multiples o

f 2 13 8 multiples of 6​
Mathematics
1 answer:
iragen [17]3 years ago
6 0

Venn diagram is the representation of set in a graphical form

<em>See attachment for the set of multiples of 2, 13, 3 and 6 </em>

Given

Numbers = \{8,9,10,11,12,13\}

Let

<em />A \to<em> Multiples of 2</em>

<em />B \to<em> Multiples of 8</em>

<em />C \to<em> Multiples of 6</em>

<em />D \to<em> Multiples of 13</em>

<em />

First, we split the numbers in set of the given multiples

A: \{8, 10, 12\}

B = \{8\}

C =\{12\}

D = \{13\}

Digit 9 does not belong to any of these set

<em />

<em>Set B and set C are proper subsets of set A.</em>

This means that sets B and C will be inside set A in the Venn diagram

So, we have:

A = \{B,10,C\}

Since 9 does not belong to any of the sets, it will not be inside any of sets A, B, C or D

See attachment for the required Venn diagram

Read more about Venn diagrams at:

brainly.com/question/1605100

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James was trying to sleep one night but there was too much noise around him. His clock ticked every
g100num [7]

Answer:

<em>It will occur zero times between midnight and one o'clock.</em>

Step-by-step explanation:

<u>Least Common Multiple (LCM)</u>

Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.

All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.

List the prime factors of each number:

20: 2,2,5

15: 3,5

27: 3,3,3

Now multiply all the factors the maximum number of times they appear:

LCM=2*2*3*3*3*5=540

(a) All the events will happen together again after 540 minutes.

(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.

4 0
3 years ago
Annie has al metre piece of wire.
KIM [24]

Answer:

wire left for square = 100 - (14+14+4+4) cm

= (100 - 36) cm

= 64 cm

so

side of square = 64/4 = 16 cm

3 0
3 years ago
2) A product originally costs $125. If the product goes on sale for 20% off, and then goes on sale for an additional 30% off, wh
alukav5142 [94]
To do these, always convert the percents to decimals, so you can subtract it from 1. Remember, 1 is the whole. When you subtract the part that's taken off, you are left with what you have to pay. If you have 20% off of $100, then you are paying for 80% of $100. **of means to multiply** so you would multiply: 0.8X100, which would be $80.

First, multiply 125x0.8

Multiply that answer by 0.7

You should get B. $70

3) multiple 22.90x0.93

You should get D
7 0
3 years ago
Read 2 more answers
Manny bought a brand new car for $29,750. The car depreciates in value by 12% each year. Find the value of the car after 6 years
Arte-miy333 [17]

Answer: $13,846.02

Step-by-step explanation:

The car cost $29,750 when it was first bought.

It will then depreciate at a rate of 12% per year. This means that the value of the car reduces by 12% per year.

To find the value of the car in the 6th year, you can use the compound interest formula:

= Value of car * ( 1 - rate) ^ no. of years

= 29,750 * ( 1 - 12%)⁶

= ‭13,816.021581824‬

= $13,846.02

6 0
3 years ago
Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was $4064 in a recent year. Suppos
horrorfan [7]

Answer:

The answer is "0.0764"

Step-by-step explanation:

Please find the complete question in the attached file.

\to \mu = \$ \ 4064\\\\\to \sigma = \$ \ 460 \\\\\to \sigma \bar{x} = \frac{\sigma}{\sqrt{n}}\\\\

        = \frac{460}{\sqrt{21}}\\\\ = \frac{460}{4.58257569}\\\\=100.3802

\to P(\bar{x}< \$ \ 3920) = \frac{P((\bar{x} - \mu \bar{x})}{\frac{\sigma \bar{x}

\to P(z < -1.43) = 0.0764 \\\\\to P(\bar{x}< \$ \ 3920) = 0.0764\\\\

7 0
3 years ago
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