The height of the container be so as to minimize cost will be 1.20. inches.
<h3>How to calculate the height?</h3>
The volume of the box will be:
= 2x × 3x × h
= 6x²h
Volume = 6x²h
12 = 6x²h
h = 2x²
The cost function will be:
C = 2.60(2)(6x²) + 4.30(12x)h
C = 31.2x² + 51.6xh
Taking the derivative
62.4x + 51.6h
h = 1.20
Therefore, the height of the container be so as to minimize cost will be 1.20 inches.
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Most likely not.
The reason behind this is that the random participants only include just under 10% of the population. This has the ability to oversee minority judgement.
Cluster sampling should be used. This splits the population up into groups. For instance, we could split it up by race and sample that way. Or split it up by net worth. Or occupation. Whatever works best for this survey!
Hope I helped!
This is a terrible question. Send the publisher a nasty note.
First let's answer the question.
Cosine is adjacent over hypotenuse, so the cosine of the angle labeled 16 degrees is 24 (the adjacent side to 16 degrees) divided by 25 (the hypotenuse).
Answer: 24/25
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Now I'm going to complain about the question. 24/25 is of course 0.96 exactly, while
cos 16° ≈ 0.96126169593831886191649704855706487352569
They're not the same, and never think 24/25 is the cosine of 16 degrees. It's approximately the cosine of 16 degrees; there's a big difference.
The cosine of 16 degrees is some awfully complicated algebraic number, a zero of some high degree polynomial with integer coefficients. Worse yet, the angle whose cosine is 24/25 is almost certainly a transcendental number, not the zero of any such polynomial.
Trigonometry as practiced forces approximations to be employed. Let's not sweep that under the rug in the questions, please.
26!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
128 fluid ounces
Step-by-step explanation:
