Adam rolls a number cube with faces numbered 1 to 6. what is the probability, to the nearest hundredth, that he rolls a 4?

To solve this problem, let us first define probability. We know in statistics class that probability is simply the ratio of a selected event to occur over the total number of events. That is:

probability = number of selected event to occur / total number of events

In this scenario, our only selected event to occur is to have a dice roll of 4. That is 1 event only. Now since there are 6 number in the dice, therefore the total number of events is 6. Therefore:

probability = 1 / 6

probability = 0.1666667

Rounding off to the nearest hundredth:

probability = 0.17

there is no image or shapes attacted

step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47