Answer:
1 day 21 hours 40 minutes
Step-by-step explanation:
5 days 6 hours 20 minutes
- 3 days 8 hours 40 minutes
============================
We will need to borrow minutes from the hours because we don't have enough.
1 hour = 60 minutes
6-1 = 5 hours
20 +60 = 80 minutes
5 days 5 hours 80 minutes
- 3 days 8 hours 40 minutes
==========================
We will need to borrow hours from the days because we don't have enough.
1 day = 24 hours
5 -1 =4 days
5 + 24 = 29 hours
4 days 29 hours 80 minutes
- 3 days 8 hours 40 minutes
==========================
1 day 21 hours 40 minutes
To answer this
problem, we use the binomial distribution formula for probability:
P (x) = [n!
/ (n-x)! x!] p^x q^(n-x)
Where,
n = the
total number of test questions = 10
<span>x = the
total number of test questions to pass = >6</span>
p =
probability of success = 0.5
q =
probability of failure = 0.5
Given the
formula, let us calculate for the probabilities that the student will get at
least 6 correct questions by guessing.
P (6) = [10!
/ (4)! 6!] (0.5)^6 0.5^(4) = 0.205078
P (7) = [10!
/ (3)! 7!] (0.5)^7 0.5^(3) = 0.117188
P (8) = [10!
/ (2)! 8!] (0.5)^8 0.5^(2) = 0.043945
P (9) = [10!
/ (1)! 9!] (0.5)^9 0.5^(1) = 0.009766
P (10) = [10!
/ (0)! 10!] (0.5)^10 0.5^(0) = 0.000977
Total
Probability = 0.376953 = 0.38 = 38%
<span>There is a
38% chance the student will pass.</span>
Domain: all real numbers
Range: y<0
The answer is B, d=8.75h
It’s 8.75h because Michael earns 8.75 per hour the key word is “per hour”
