Pls solve this...need help thanks :)
2 answers:
Answer:
A) 60
B) 225
Step-by-step explanation:
A) The factorization of a number is finding the factors that, when multiplied together, form the original number. As an example, one instance of the factorization of 24 would be 6 and 4, since 6 × 4 = 24.
The prime factorization of a number is finding the factors of a number and restricting them to only include primes, which are numbers with no other factors except themselves and 1.
Hence, all you have to do for A) is to multiply all the factors together, which is , which equates to 60.
B) Since this three-digit number has 5 as a prime factor, it has to end in a 5 or 0. This narrows our search hugely.
Accounting for the fact it has a 3 as a prime factor, the number has 3 × 5 = 15 as a factor. This yet again narrows our search hugely.
Finally, to find the square number, there is actually a really simple way of doing this; simply square 15 to get 225. We can confirm this is a square number because we squared 15 to get that number; hence, 225 is an answer.
Hope this helped!
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Answer:
0.9177
Step-by-step explanation:
let us first represent the two failure modes with respect to time as follows
R₁(t) for external conditions
R₂(t) for wear out condition ( Wiebull )
Now,
where t = time in years = 1,
n = failure rate constant = 0.07
Also,
where t = time in years = 1
where Q = characteristic life in years = 10
and B = the shape parameter = 1.8
Substituting values into equation 1
Substituting values into equation 2
let the <em>system reliability </em>for a design life of one year be Rs(t)
hence,
Rs(t) = R1(t) * R2(t)
t = 1
Rs(1) = 0.9177 (approx to four decimal places)