The domain of the following relation: R: {(−4, 8), (8, 10), (5, 4), (1, 6), (5, −9)} is{8, 10, 4, 6, −9}

{−4, 1, 5, 8}

{−4, 8, 5, 1, 5}

No domain exists

Answer:

4 hours and 40 minutes

Step-by-step explanation:

speed = distance/time

distance/speed = time

300/65 = 4.615 hours

0.615 x 60 = 36.9

= 4 hours and 40 minutes

Answer with explanation:

Ques 1)

We know that the range of a data set is the difference between the maximum and the minimum value.

We are given a data set as:

45   93    60     72     15     45     81

on arranging the data in the increasing order we get:

15   45    45    60    72    81     93

Minimum value=15

Maximum value=93

Range=Maximum value-Minimum value

Range=93-15

Range=78

Ques 2)

We are given data point as:

63      54      62      59      52

on arranging the data in the increasing order we have:

52    54     59    62     63    

The mean of data is calculated as:

Now we calculate variance

Let mean be denoted by x'

x-x'                    (x-x')²

52-58= -6           36

54-58= -4            16

59-58=1                1

62-58=4               16

63-58=5               25

∑ (x-x')²=94

Now, variance is:

   Variance=∑ (x-x')²/5

                                   =94/5

                                   = 18.8

Hence, variance is: 18.8

Ques 3)

We are given Variance=88

As standard deviation is the square root of variance.

Hence,

standard deviation=√88

                              =9.38

Ques 4)

We arrange the data in the increasing order as:

4    4    5    5    5    6    9

Now mean of the data is:

(x-x')               (x-x')²

-1.43               2.04

-1.43               2.04

-0.43              0.18

-0.43              0.18

-0.43              0.18

0.57               0.32

3.57               12.74

∑ (x-x')²/7=17.68/7=2.52

Hence Variance=2.52

Now standard deviation is the square root of variance.

Hence standard deviation=√2.52=1.6

Ques 5)

The box and whisker plot is attached to the answer.

Minimum value=6

Maximum value=21

Median=14

First quartile=9

Upper quartile=17

Answer:

Step-by-step explanation:

The midpoint of AB is (-5,1), if A(-3,8) and B(-7,-6). How to find out the midpoint of coordinates?The midpoint of coordinates is found by measuring the distance between two endpoints and dividing the obtained result by 2. Apart from this, one more method is there which is to add the two X-coordinates of the endpoints and divide them by 2. The same concept is applied to the Y-coordinates as well. According to the question, A = (-3,8) and B = (-7,-6). The formula is as follows:M(x,y) = ((x₁+x₂)/2 , (y₁+y₂)/2). Putting the above values in the mentioned formula, we get:M(x,y) = ((-3-7)/2 , (8-6)/2).

M(x,y) = (-5 , 1). Therefore, the midpoint of AB is (-5,1), if A(-3,8) and B(-7,-6).To learn more about the Midpoint of coordinates, refer to the link: brainly.com/question/28308761