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Paul [167]
3 years ago
13

Please help me!!!!!!!!!! Write 2 ln 8 + 3 ln y as a single natural logarithm.

Mathematics
1 answer:
const2013 [10]3 years ago
7 0
<span>2 ln 8 + 3 ln y simplifies to ln 8^2 + ln y^3, which in turn simplifies to

ln 64/y^3, or  ln {64*y^3}</span>
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A is directly proportional to B when A=12 B=3 Find the value of A when B = 5​
Schach [20]

Answer:

A = 20

Step-by-step explanation:

12/3 = A/5

60 = 3A

A = 60÷3 = 20

3 0
2 years ago
At a fixed operating setting, the pressure in a line downstream of a reciprocating compressor has a mean value of 950 kPa with a
prisoha [69]

Answer:

4.75% probability that the line pressure will exceed 1000 kPa during any measurement

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 = 950, \sigma = 30

What is the probability that the line pressure will exceed 1000 kPa during any measurement

This is 1 subtracted by the pvalue of Z when X = 1000. So

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

Z = \frac{1000 - 950}{30}

Z = 1.67

Z = 1.67 has a pvalue of 0.9525

1 - 0.9525 = 0.0475

4.75% probability that the line pressure will exceed 1000 kPa during any measurement

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3 years ago
Which radical expression is equivalent to 3^3/4
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The numerator of the fraction is the power of the number and the denominator is the root of the number. This is expressed as follows:

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The first one, the opposite of any negative number is the same number but positive...and vise versa.
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