#2.) Shipment Times. A survey of 36 selected recording companies showed these numbers of days that it took to receive a shipment from the day it was ordered. Find the class mean and the modal class for the data. Days / Frequency
1-3 6
4 - 6 8
7-9 10
10 - 12 7
13 - 15 0
16 - 18 5​

1. Mean => 8.2

2. Modal class => 7 - 9

Step-by-step explanation:

From the question given above, the following data were obtained:

Days >>>>>> Frequency

1 - 3 >>>>>>> 6

4 - 6 >>>>>> 8

7 - 9 >>>>>> 10

10 - 12 >>>>> 7

13 - 15 >>>>> 0

16 - 18 >>>>> 5​

Next, we shall determine the the day mark.

The day mark is obtained by adding the the lower and upper class intervals and diving the result by 2.

This is illustrated below:

Days >> Day mark >>> Frequency

1 - 3 >>> 2 >>>>>>>>>> 6

4 - 6 >>> 5 >>>>>>>>> 8

7 - 9 >>> 8 >>>>>>>>> 10

10 - 12 >> 11 >>>>>>>> 7

13 - 15 >> 14 >>>>>>>> 0

16 - 18 >> 17 >>>>>>>> 5

1. Determination of the mean.

Summation of (day mark × frequency) = (2×6) + (5×8) + (8×10) + (11×7) + (14×0) +(17×5)

= 12 + 40 + 80 + 77 + 0 + 85

= 294

Summation of frequency = 6 + 8 + 10 + 7 + 0 + 5

= 36

Mean = Summation of (day mark × frequency) / Summation of frequency

Mean = 294 / 36

Mean = 8.2

2. Determination of the modal class.

The modal class is simply the class with the highest frequency.

Days >>>>>> Frequency

1 - 3 >>>>>>> 6

4 - 6 >>>>>> 8

7 - 9 >>>>>> 10

10 - 12 >>>>> 7

13 - 15 >>>>> 0

Considering the data given above, the class with the highest frequency is 7 - 9.

Thus, the modal class is => 7 - 9

32/80  

91/140

the last one 54 doesn't go into 45. 54/100 ?

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.