Answer:

Step-by-step explanation:
The given expresion is

We need to remove the highest perfect square from the radicand.
We rewrite 54 as 6*9
This gives us:

This is the same as

We now simplify to get:

Answer: a. 0.61
b. 0.37
c. 0.63
Step-by-step explanation:
From the question,
P(A) = 0.39 and P(B) = 0.24
P(success) + P( failure) = 1
A) What is the probability that the component does not fail the test?
Since A is the event that the component fails a particular test, the probability that the component does not fail the test will be P(success). This will be:
= 1 - P(A)
= 1 - 0.39
= 0.61
B) What is the probability that a component works perfectly well (i.e., neither displays strain nor fails the test)?
This will be the probability that the component does not fail the test minus the event that the component displays strain but does not actually fail. This will be:
= [1 - P(A)] - P(B)
= 0.61 - 0.24
= 0.37
C) What is the probability that the component either fails or shows strain in the test?
This will simply be:
= 1 - P(probability that a component works perfectly well)
= 1 - 0.37
= 0.63
To multiply a fraction with another fraction, we multiply the numerators the denominators:
(5/2) x (2/3) = (5 x 2) / (6 x 3) = 10/18 = 5/9
3h - 8h + 10 = 10 - 5h
-5h + 10 = 10 - 5h
infinitely many solutions