First, we will find the value of k
We can do this by sybstituting y=24, x=6 in;
y=kx and then solve for k
24= k(6)
divide both-side of the equation by 6
24/6 = k
4 = k
k=4
Then when x = 5, we will substitute x=5 and k=4 in; y=kx and then solve for y
y= (4)(5)
y = 20
Considering the least common multiple of the denominators, it is found that the result of the expression is given by:

<h3>How do we add fractions?</h3>
We place all the terms of the addition in "equivalent" fractions, with the same denominator, found from the last common multiple of all the denominators.
In this problem, the denominators are as follows: 28, 70, 130, 208, 304. Using a calculator, their lcm is of 138,320.
Considering equivalent fractions(the numerators are the division of the lcm by the previous denominator), the expression is:

More can be learned about the addition of fractions at brainly.com/question/78672
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Answer:
- The term 'less than' is used to indicate the relationship between two values.
- The term 'less than' symbolically represented as '<'.
Step-by-step explanation:
- The term 'less than' is used to indicate the relationship between two values.
It expresses that one value will be lesser than the other.
The term 'less than' symbolically represented as '<'.
We can implement certain operations like comparing values, heights, and numbers.
For example, there are 3 pencils in one bag A, and 8 pencils in bag B.
When we compare the two, we can easily observe that bag A has fewer pencils than bag B.
Thus,
Pencils in Bag A < Pencils in Bag A
3 < 8
Answer: 0.1353
Step-by-step explanation:
Given : The mean of failures = 0.025 per hour.
Then for 8 hours , the mean of failures =
per eight hours.
Let X be the number of failures.
The formula to calculate the Poisson distribution is given by :_

Now, the probability that the instrument does not fail in an 8-hour shift :-

Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353
So I'm not totally sure but I got -15.32
So sorry if it's wrong!!