Answer:
The length of the longest section x = 36 ft
Step-by-step explanation:
Total length of the wire = 51 ft
Let first section of wire = x
Second section of wire = y
Third section of wire = z
According to given data
x = 3 y & y = 4 z
Total length of the wire = x + y + z = 51
y = 12
x = 3 × 12 = 36
Therefore the length of the longest section x = 36 ft
Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:
1/3
<h3><u>Step-by-step explanation:</u></h3>Let A denote the event of rolling a number less than 5 in a six-sided die.
Now, we know that the Total outcomes are: 6
since, the sample space is given as: {1,2,3,4,5,6}
Also Number of favorable outcomes are: 4
since the numbers which are less than 5 are {1,2,3,4}
Now we have to find:
where P denotes the probability of an event and denote the complement of event A.
We know that:
Now,
Hence,
Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:
1/3