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

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 $d=45\cdot t$

6 0

3 years ago

In which quadrant does the point (–10, 9) lie?

Furkat [3]

A. Quadrant I is the correct answer.

x axis is -10 and y axis is 9

5 0

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

7 0

3 years ago

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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 $z_{\alpha/2}=1.28$