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Margarita [4]
3 years ago
5

If f(x)=3^ x-4 what is f(- 1) ?

Mathematics
2 answers:
musickatia [10]3 years ago
4 0

Answer:

1/243

Step-by-step explanation:

When you see this notation, it means plug in -1 for x in the function.

f(-1) = 3^((-1)-4)

f(-1) = 3^-5

f(-1) = 1/3^5

f(-1) = 1/243

n200080 [17]3 years ago
4 0

Step-by-step explanation:

substitute (-1)

{3}^{x}  - 4 \\  {3}^{ - 1}  - 4 =  \frac{1}{3}  - 4 =  -  \frac{11}{3}  =  - 3.667

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Answer:

-23/4

Step-by-step explanation:

-5\frac{3}{5}

-\frac{5x4+3}{4}

-\frac{20+3}{4}

-\frac{23}{4}

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Answer:

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
A realtor would like to create a 95% confidence interval for the average price of a house in Franklin County, Ohio. To accomplis
VMariaS [17]

Answer:

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

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=320128 represent the sample mean

\mu population mean (variable of interest)

\sigma=50324 represent the population standard deviation

n=529 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 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

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

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

8 0
3 years ago
You roll five number cubes and the numbers rolled are 1,2, 3, 4, and 5. Are the events independent? Explain.
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Answer: B

Explanation

When rolling a dice, no matter how many times you get an outcome, it can never determine the exact outcome of the next roll, hence it is termed an independent event.

Hope this helps :)
5 0
3 years ago
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