Answer:
x ≈ 61.8
Step-by-step explanation:
Using the sine ratio in the right triangle
sin15° = =
( multiply both sides by x )
x × sin15° = 16 ( divide both sides by sin15° )
x = ≈ 61.8 ( to the nearest tenth )
Lin's sister has a checking account. If the account balance ever falls below zero, the bank charges her a fee of $5.95 per day.
1 answer:
You might be interested in
Answer:
a. There 5040 different pass codes if the digits cannot be repeated
b. The probability that the pass code is 1234 is ≈ 0.0002
c. The probability that two people both have a pass code of 1234 is 4×
Step-by-step explanation:
a. How many different 4-digit pass codes are possible if the digits cannot be repeated?
There are
- 10 possibilities for the first digit
- 9 possibilities for the second digit
- 8 possibilities for the third digit
- 7 possibilities for the fourth digit
Thus there are 10×9×8×7=5040 different pass codes
b. If the digits of a pass code are chosen at random and without replacement from the digits, what is the probability that the pass code is 1234
The probability that the first digit is 1 is
The probability that the second digit is 2 is
The probability that the second digit is 3 is
The probability that the fourth digit is 4 is
Thus the probability that the pass code is 1234 is ≈ 0.0002
c. The probability that two people, who both chose a pass code by selecting digits at random and without replacement, both have a pass code of 1234?
The probability that the pass code of the one person is 1234 is 0.0002
The probability that the pass code of the other person is 1234 is 0.0002
Thus, the probability that two people have both pass code of 1234 is
0.0002×0.0002 = 4×