1. Which of the following are sets? Justify your answer.

sons in the NHL,nts than anyone whoccomplished thiser games thanHer. Here are theRg each season:74, 45, 81, 48, 80,Working for a

vesna_86 [32]

Step 1:

In descriptive statistics, a box plot or boxplot (also known as box and whisker plot) is a type of chart often used in explanatory data analysis. Box plots visually show the distribution of numerical data and skewness through displaying the data quartiles (or percentiles) and averages.

Step 2:

To sketch a boxplot, you will need to determine the following:

Minimum

Lower quartile

Median

Upper quartile

Maximum

Step 3:

USA

First arrange the data from the least to the greatest.

14 , 26, 33, 34, 35, 38, 40, 41, 44, 46, 46, 49, 53, 66, 70.

Minimum = 14

$\begin{gathered} \text{Lower quartile position = }\frac{1}{4}(n+1)^{th} \\ \text{= }\frac{15+1}{4}\text{ = }\frac{16}{4}=4^{th} \\ Q_1\text{ = lower quartile = 34} \end{gathered}$

Median = 41

$\begin{gathered} \text{Upper quartile position = }\frac{3}{4}(n+1)^{th} \\ =\text{ }\frac{3\text{ }\times(15+1)}{4} \\ =12^{th} \\ Q_3\text{ = upper quartile = 49} \end{gathered}$

Maximum = 70

Interquartile range IQR = 49 - 34 = 15

Canada

22, 28, 31, 31, 35, 35, 36, 39, 40, 40, 42, 49, 53, 63, 68

Minimum = 22

$\begin{gathered} Q1\text{ Position = }\frac{(n+1)^{th}\text{ }}{4}\text{ = }\frac{16}{4}th=4^{th} \\ Q_1\text{ = 31} \end{gathered}$

Median = 39

$\begin{gathered} UpperquartileQ_{_3\text{ }}\text{ = 49} \\ \end{gathered}$

Maximum = 68

Interquartile range = 49 - 31 = 18

8 0

1 year ago

My wife and I are Racing around a 400m track going opposite directions. I am running at 8 m/s and she has a head start of 50 met

Vlad [161]

Answer:

They both meet after 27 s.

Step-by-step explanation:

Length of track = 400 m

speed of man, v = 8 m/s

speed of woman, v' = 5 m/s

Woman is 50 m ahead of man.

Let the time taken to meet is t.

Let the man covered a distance d in time t o the woman covered a distance 400 - 50- d.

$\frac{d}{8}=\frac{400-50-d}{5}\\\\5 d = 8 (350-d)\\\\13 d = 2800\\\\d = 215.4 m$

The time taken is

$t=\frac{215.4}8}\\\\\\t=27 s$

5 0

3 years ago

Write the sets of all possible factors and the sets of common factors of the pairs of numbers, then find their H.C.F. could you

abruzzese [7]

Answer:

a= 1,2,4 b= 1,2,3,6 c=1,2,4 d=1,2,5,10 e=1,2,3,4,6,12 H.C.F of all the pairs= 2

Step-by-step explanation:

Factors of:

a. 8=1,2,4,8

12=1,2,3,4,6,12.

common factor=1,2,4

b. 12=1,2,3,4,6,12

18=1,2,3,6,9,18

common factor=1,2,3,6

c. 16=1,2,4,16

24=1,2,3,4,6,8,12,24

common factor=1,2,4

d. 20=1,2,4,5,10,20

30=1,2,3,5,6,10,15,30

common factor=1,2,5,10

e. 24=1,2,3,4,6,8,12,24

36=1,2,3,4,6,9,12,18,36

common factor=1,2,3,4,6,12

HIGHEST COMMON FACTOR (H.C.F)=

The factor common to the whole pairs

which is 1 and 2

therefore 1 multiplied by 2 which is equal to 2

(and in Mathematics means multiplication)

5 0

3 years ago

One dozen bananas weigh 3 pounds, how much do 2 bananas weigh?

Leto [7]

2 banana weigh=225 grams

6 0

3 years ago

Find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). -5 with multiplicity 3 5 with multiplicity 3 -9

faust18 [17]

Answer:

-5, multiplicity 3; +9, multiplicity 2; -1

Step-by-step explanation:

The roots of f(x) are those values of x that make the factors be zero. For a factor of x-a, the root is x=a, because a-a=0. If the factor appears n times, then the root has multiplicity n.

f(x) = (x+5)^3(x-9)^2(x+1) has roots ...

-5 with multiplicity 3
+9 with multiplicity 2
-1

4 0

3 years ago