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Over [174]
2 years ago
12

Solve 1/x-1/x-5=1/3x​

Mathematics
1 answer:
Arada [10]2 years ago
3 0

9514 1404 393

Answer:

  x = -10

Step-by-step explanation:

We assume your equation is ...

  \dfrac{1}{x}-\dfrac{1}{x-5}=\dfrac{1}{3x}

Subtracting the right side, then expressing with a common denominator gives ...

  \dfrac{3}{3x}-\dfrac{1}{3x}-\dfrac{1}{x-5}=0\\\\\dfrac{2}{3x}-\dfrac{1}{x-5}=0\\\\\dfrac{2(x-5)-3x}{3x(x-5)}=0\\\\\dfrac{-x-10}{3x(x-5)}=0\\\\\boxed{x=-10} \qquad\text{equate the numerator to 0 and add $x$}

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In a randomly selected sample of 1169 men ages 35–44, the mean total cholesterol level was 210 milligrams per deciliter with a s
Aneli [31]

Answer:

The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.

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 = 210, \sigma = 38.6

Find the highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10%.

This is the 10th percentile, which is X when Z has a pvalue of 0.1. So X when Z = -1.28.

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

-1.28 = \frac{X - 210}{38.6}

X - 210 = -1.28*38.6

X = 160.59

The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.

5 0
3 years ago
Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the
ryzh [129]

Answer:

in steps

Step-by-step explanation:

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AD/AD + DB/AD = AE/AE + EC/AE

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3 years ago
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Answer:

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Step-by-step explanation:

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mylen [45]

I think it’s D $0.53

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2 years ago
Seven more than 4 times a number is more than twenty-seven.
Rainbow [258]

Answer:

330

Step-by-step explanation:

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