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Alik [6]
3 years ago
8

Y varies inversely as x . When x=2, y=48. Find y when x=5

Mathematics
1 answer:
charle [14.2K]3 years ago
4 0

Answer:

Step-by-step explanation:

y & 1/x

y = k/x

k = yx

When y = 48, x = 2

k = 2 × 48

k = 96

y = 96/x

When x = 5

y = 96/5

y = 17 1/5

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a piece of paper is 0.0075 in thick how many sheets of paper will be in a stack that is 2.25 inches high
boyakko [2]

Answer:

300

Step-by-step explanation:

That would be 2.25 / 0.0075

= 300

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For the curve y = ln(x 2 − 3), find the equation of the tangent line at (2, 0).
denis23 [38]
Y' = 2x/(x^2 -3)  y'(2) = 4
Using the point slope equation:
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y = 4x - 8
3 0
3 years ago
(1) a sample of 36 ball have been randomly pull out of jar. it contained 16 red balls. what is the probability of that happening
Lynna [10]
There is a .41025...% chance of that happening. moving on the jar is not 25% filled with red balls because 25% of 36 is only 9 and he pulled out 16 red balls hence forth that is impossible if the jar is only 25% red balls 

hope this helped!!!
4 0
3 years ago
The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points. What is the probabilit
Korolek [52]

Answer:

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 159, \sigma = 13, n = 60, s = \frac{13}{\sqrt{60}} = 1.68

What is the probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled?

This is the pvalue of Z when X = 159+1 = 160 subtracted by the pvalue of Z when X = 159-1 = 158. So

X = 160

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

By the Central Limit Theorem

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

Z = \frac{160 - 159}{1.68}

Z = 0.6

Z = 0.6 has a pvalue of 0.7257

X = 150

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

Z = \frac{158 - 159}{1.68}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

7 0
3 years ago
The water level at the Dead Sea dropped from 390 meters below sea level in 1930 to 423 meters below sea level in 2010. By how mu
Vikki [24]

Answer:

33ft below sea level

Step-by-step explanation:

423-390=33ft

3 0
3 years ago
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