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vekshin1
2 years ago
8

How do you write the logarithmic equation in exponential form when you use ln?

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
5 0
E^0.693 = 1/2       ln = log e
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Find the constant of proportionality and the unit rate for the data table. Then write an equaion to represent the relationship b
Akimi4 [234]
\dfrac{90}2=45

\dfrac{135}3=45

\dfrac{225}5=45

\dfrac{270}6=45

The constant of proportionality is thus 45; the unit rate is 45 miles per hour.

The relationship between the time t (in hours) and the distance d (in miles) is thus d=45\cdot t
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3 years ago
In which quadrant does the point (–10, 9) lie?
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A. Quadrant I is the correct answer.

x axis is  -10   and y axis is 9

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2 years ago
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Are these ratios 1:2 11:16 equivalent
g100num [7]
Answer:
No

Explanation:
for 1 to get to 11, you have to multiply the number by 11, if you also multiply 2 by 11, it does not give you 16
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Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.â  Suppose a small group of 11 Allen's humming
alexira [117]

Answer:

3.15-1.28\frac{0.38}{\sqrt{11}}=3.003    

3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297    

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=3.15 represent the sample mean

\mu population mean (variable of interest)

\sigma=0.38 represent the population standard deviation

n=11 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.80 or 80%, the value of \alpha=0.2 and \alpha/2 =0.1, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NOR.INV(0.1,0,1)".And we see that z_{\alpha/2}=1.28

Now we have everything in order to replace into formula (1):

3.15-1.28\frac{0.38}{\sqrt{11}}=3.003    

3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297    

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147    

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3 years ago
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Novay_Z [31]

You plug in f(x) into where x is within g(x) so you get G(f(x))=(X+6)^4

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2 years ago
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