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k0ka [10]
3 years ago
11

PLEASE HELP I WILL MARK YOU AS BRAINLEST

Mathematics
2 answers:
Alex17521 [72]3 years ago
5 0

Answer:

2.5

Step-by-step explanation:

16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26

Median: 18.5

Lower quartile: 18

Upper quartile: 20.5

Interquartile range: 20.5 - 18 = 2.5

denpristay [2]3 years ago
4 0

Answer:

(i) Five number summary: Minimum value = 1, Q_1=18,Median=18.5, Q_3=20.5, Maximum value = 26.

(ii) IQR = 2.5, upper fence = 24.25 and lower fence = 14.25.

(iii) 26 is an outlier of the data.

Step-by-step explanation:

The given data set is

19, 18, 23, 18, 18, 26, 19, 16, 20, 18, 17, 21

Arrange the data set in ascending order.

16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26

Divide the data set in 4 equal parts.

(16, 17, 18), (18, 18, 18), (19, 19, 20), (21, 23, 26)

Minimum value = 16

Q_1=\frac{18+18}{2}=18

Median=Q_2=\frac{18+19}{2}=18.5

Q_3=\frac{20+21}{2}=20.5

Maximum value = 26

The inter quartile range (IQR) of the data is

IQR=Q_3-Q_1=20.5-18=2.5

Upper fence :

Q_3+1.5(IQR)=20.5+1.5(2.5)=24.25

Lower fence :

Q_1-1.5(IQR)=18-1.5(2.5)=14.25

If the any element of the data set lies out side the upper fence and lower fence, then it is called an outlier.

26 ∉ [14.25, 24.25]

Therefore, 26 is an outlier of the data.

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A pet supplier has a stock of parakeets of which 20% are blue parakeets. A pet store orders 3 parakeets from this supplier. If t
Levart [38]

Answer:

0.384

Step-by-step explanation:

pet supplier has a stock of parakeets of which 20% are blue parakeets

20/100 = 0.2 blue parakeets (success)

1-0.2 = 0.8 not parakeets (not success)

A pet store orders 3 parakeets from this supplier

we need to find the chance of getting exactly one blue from 3 parakeets

P(x=1)=nCr (p)^r(q)^{n-r}

n=3, r=1, p = 0.2 , q=0.8

P(x=1)=3C1 (0.2)^1(0.8)^{2}

0.384

5 0
3 years ago
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Lesechka [4]

9514 1404 393

Answer:

  see below

Step-by-step explanation:

A number line usually has numbers increasing from the right. If each unit on the number line represents $100, then a gain of $500 would be represented by the point at +5 units (right of 0). The loss would be represented by a point at -5 units, located left of 0.

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3 0
3 years ago
400,00 has a value of 400
AfilCa [17]
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6 0
4 years ago
A) How many ways can 2 integers from 1,2,...,100 be selected
Anna007 [38]

Answer with explanation:

→Number of Integers from 1 to 100

                                            =100(50 Odd +50 Even)

→50 Even =2,4,6,8,10,12,14,16,...............................100

→50 Odd=1,3,,5,7,9,..................................99.

→Sum of Two even integers is even.

→Sum of two odd Integers is odd.

→Sum of an Odd and even Integer is Odd.

(a)

Number of ways of Selecting 2 integers from 50 Integers ,so that their sum is even,

   =Selecting 2 Even integers from 50 Even Integers , and Selecting 2 Odd integers from 50 Odd integers ,as Order of arrangement is not Important, ,

        =_{2}^{50}\textrm{C}+_{2}^{50}\textrm{C}\\\\=\frac{50!}{(50-2)!(2!)}+\frac{50!}{(50-2)!(2!)}\\\\=\frac{50!}{48!\times 2!}+\frac{50!}{48!\times 2!}\\\\=\frac{50 \times 49}{2}+\frac{50 \times 49}{2}\\\\=1225+1225\\\\=2450

=4900 ways

(b)

Number of ways of Selecting 2 integers from 100 Integers ,so that their sum is Odd,

   =Selecting 1 even integer from 50 Integers, and 1 Odd integer from 50 Odd integers, as Order of arrangement is not Important,

        =_{1}^{50}\textrm{C}\times _{1}^{50}\textrm{C}\\\\=\frac{50!}{(50-1)!(1!)} \times \frac{50!}{(50-1)!(1!)}\\\\=\frac{50!}{49!\times 1!}\times \frac{50!}{49!\times 1!}\\\\=50\times 50\\\\=2500

=2500 ways

7 0
3 years ago
Use the distributive property to rewrite this expression.<br> 3(a + 6)
liq [111]

Answer:

3a + 18

Step-by-step explanation:

6 0
3 years ago
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