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Aleonysh [2.5K]
3 years ago
10

Which is the graph of f(x) = 2(3)x?

Mathematics
2 answers:
Andreyy893 years ago
6 0

Answer:

The last graph.

Hope this helps.

aliya0001 [1]3 years ago
4 0

I'm assuming the equation should be f(x) = 2(3)^x

If so, then plug in x = 1 to find that

f(x) = 2(3)^x\\\\f(1) = 2(3)^1\\\\f(1) = 2(3)\\\\f(1) = 6\\\\

Showing the point (x,y) = (1,6) is on the curve. Only choice A reflects this. So choice A is the answer.

Choices B,C, and D can be ruled out. For instance, with choice B, plugging in x = 2 leads us to get

f(x) = 2(3)^x\\\\f(2) = 2(3)^2\\\\f(2) = 2(9)\\\\f(2) = 18\\\\

Indicating that (2,18) is on the curve instead of (2,12). This shows choice B is not a a valid answer. Similar situations will happen with C and D.

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An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6
nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

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".  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma=1.6)  

And the distribution for \bar X is:

\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})  

We know that the margin of error for a confidence interval is given by:  

Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)  

The next step would be find the value of \z_{\alpha/2}, \alpha=1-0.99=0.01 and \alpha/2=0.005  

Using the normal standard table, excel or a calculator we see that:  

z_{\alpha/2}=\pm 2.58  

If we solve for n from formula (1) we got:  

\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}  

n=(\frac{z_{\alpha/2} \sigma}{Me})^2  

And we have everything to replace into the formula:  

n=(\frac{2.58(1.6)}{0.1})^2 =1704.03  

And if we round up the answer we see that the value of n to ensure the margin of error required \pm=0.1 mm is n=1705.  

6 0
2 years ago
How much acetic acid is in a 5 - liter container of acetic acid and water that is marked 80% acetic acid ? How much is water ?
Goryan [66]
I think the question ur asking is what’s the volume of water?? If so then the volume of water is 1L
6 0
1 year ago
The imaginary coefficient of 18 + 15i is?
kykrilka [37]

Answer:

I bc it has an invisible 1 at the side

6 0
3 years ago
FREE POINTS
Nonamiya [84]
2 please pick me!!!!
5 0
3 years ago
Read 2 more answers
Complete the input-output table for the linear function y = 3x.<br><br> a= b= c=
Helen [10]

Answer:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Step-by-step explanation:

4 0
3 years ago
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