#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

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

it is x=-4

step-by-step explanation: