Answer:
0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the students are chosen is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

Total outcomes:
4 students from a set of 13(number of students in the lottery). So

Probability:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.
Answer:
50.714 (3 dp)
Step-by-step explanation:
Using trigonometry.


and you can expand the numerator if you wish, it won't be simplified further though.
Answer:
x=3
Step-by-step explanation:
3x+5=14
-5 -5
3x=9
/3 /3
x=3
<span>When writing a number, the values that given to the numbers are as follows, starting from the right: ones, tens, hundreds, thousands, ten thousands, etc. The three is located on the second position from the right, meaning it is in the tens place. The significance of this is that it has 3 tens, which means its value is 30.I hope that my answer is helpful! Let me know if you need something more :)</span>