A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a peri
od of three months.) The increase in production can be modeled by the equation y = x6 − 25x4 + 199x2, where x is the number of quarters. What is the minimum duration required for the company to reach a production capacity of 4,975 units?
1 answer:
Answer:
5 months
Step-by-step explanation:
We assume that y represents production capacity, rather than <em>increase</em> in production capacity. Then we want to solve the 6th-degree equation ...
x^6 -25x^4 +199x^2 -4975 = 0
This can be factored in groups as ...
x^4(x^2 -25) + 199(x^2 -25) = 0
(x^4 +199)(x^2 -25) = 0
This has 4 complex solutions and 2 real solutions.
x^2 = 25
x = ±5
The duration required for capacity to reach 4975 units is 5 months.
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Answer:
B and F
Step-by-step explanation:
The simple golden rule that we need to know here is
<em><u>"The probability of any event is always between 0 and 1 inclusive"</u></em>
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If an event has a probability of p(x), we can say:
Also, probability is ALWAYS POSITIVE.
Thus,
A) OK because 33.3% is 0.333, which is between 0 and 1
B) NOT OK, because probability isn't negative
C) 0.0002 is in between 0 and 1, so possible
D) 0 probability means it can't happen, so that's okay as well
E) this is a fraction with numerator less than denominator, which means its between 0 and 1, so OK
F) this fraction's numerator is greater than denominator, so it's greater than 1. Probability can't be greater than 1, so NOT OK
Out of these B and F cannot represent the probability of an event