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otez555 [7]
3 years ago
13

In the Venn diagram, consider U = {whole numbers 1-100}

Mathematics
2 answers:
Dmitry [639]3 years ago
6 0
The question is what numbers satisfy A ∩ C.

The symbol ∩ means intersection, .i.e. you need to find the numbers that belong to both sets A and C. Those numbers might belong to the set C or not, because that is not a restriction.

Then lets find the numbers that belong to both sets, A and C.

Set A: perfect squares from A to 100:

1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81
10^2 = 100

=> A = {1, 4, 9, 16, 25, 36, 49, 64, 81, 100}

Set C: perfect fourths

1^4 = 1
2^4 = 16
3^4 = 81

C = {1, 16, 81?

As you see, all the perfect fourths are perfect squares, so the intersection of A and C is completed included in A. this is:

A ∩ C = C or A ∩ C = 1, 16, 81

On the other hand, the perfect cubes are:

1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 81

B = {1, 8, 27, 81}

That means that the numbers 1 and 81 belong to the three sets, A, B, and C.

In the drawing you must place the number 16 inside the region that represents the intersection of A and C only, and the numbers 1 and 81 inside the intersection of the three sets A, B and C.
Maksim231197 [3]3 years ago
6 0

Answer:

1, 16, 81

Step-by-step explanation:

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Naddik [55]
It'll be 7 because 3/4 is greater than 1/2 so you round it up.
3 0
3 years ago
60 POINTS BRAINLIES
MaRussiya [10]

Answer:

see below

Step-by-step explanation:

a)  median : re-arranged the numbers in order. i.e. min to max

gold:          147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022

                 <u>212  + 227</u><u>  </u>  =  219.50

                        2

silver:       147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794

                <u>178 + 241  </u>   =  209.50

                       2

bronze:    151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704

                <u>193  +  260  </u>=  226.50

                        2

b)  mean : sum of all numbers divide by n, where n=10  

gold:        =   (147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022 ) / 10

               =  311.40

silver:      =   (147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794 ) / 10

              =  282.30

bronze:   =  (151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704 ) / 10

               =  280.60

c) standard deviation on population (STDEV.P)

Australia          = 16.44

china               = 33.03

france              = 19.74

germany          = 30.21

great britain    = 13.89

hungary           = 12.04

italy                  = 11.44

soviet union    = 48.46

sweden           = 13.47

united states   = 133.84

6 0
3 years ago
Rewrite this number in standard notation​
Juliette [100K]

Answer:

the first one

Step-by-step explanation

you add 13 zeros, right?

8 0
2 years ago
The population of big cats in Africa is increasing at a rate of 5% per year. At the
sesenic [268]

Answer:

a) 10,500 big cats

b) 13,401 big cats

c) 33 years

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:  

A = P (1 + r) t  

Where:  

p = original population  

r = growing rate (decimal form; 5/100= 0.05)

t= years  

A = population after t years  

Replacing with the values given:  

a) At 2005, 1 year passed since 2004 (t=1)

A = 10,000 (1+ 0.05)^1

A = 10,500 big cats

b)

At 2010, 6 years passed since 2004 (2010-2004= 6)

A = 10,000 (1+ 0.05)^6

A = 13,401 big cats

c)

50,000 < 10,000 (1+ 0.05)^t

Solving for t:

50,000/10,000 < 1.05^t

5 < 1.05^t

log 5 < log 1.05^t

log 5 < t ( log 1.05)

log 5 / log 1.05 < t

32.9 years < t

33 years  = t

Feel free to ask for more if needed or if you did not understand something.  

6 0
3 years ago
*The difference between a number and 8 is greater than 2.
scoray [572]

Answer:

the answer is 5

Step-by-step explanation:

6 0
3 years ago
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