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77julia77 [94]
3 years ago
12

What are some examples of The Golden Ratio in nature, art, human body and geometry?

Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0
Pi &  Phi in the human body. nautilus shells, Sunflowers, Seahorses, Pine Cones, Fibonacci Sequence etc.
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Determine the unknown integer in each number sentence <br> 4 - ___ = 31
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To convert a repeating decimal to a fraction, your goal is to:
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What is the x for 1/2x=150
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USE ALL THE WORK IT TAKES TO SOLVE THIS PROBLEM
Umnica [9.8K]

Answer:

x^2 + 2x = 3x+20

-3x  

x^2 - 1x = 20  

- 20

x^2 -1x -20=0

(x-5)(x+4)

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3 0
3 years ago
My Notes A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1600 hours and
Evgen [1.6K]

Answer:

The bulbs should be replaced each 1436.9 hours.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 1600, \sigma = 70

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.

So it is X when Z = -2.33.

Z = \frac{X - \mu}{\sigma}

-2.33 = \frac{X - 1600}{70}

X - 1600 = -2.33*70

X = 1436.9

The bulbs should be replaced each 1436.9 hours.

6 0
3 years ago
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