Answer:
Step-by-step explanation:
Sample proportion p is the proportion of favourable numbers to total number in the sample
By central limit theorem and also approximation of binomial to normal , we have sample proportion for large number of samples will be normal
with mean = sample proportion
and std deviation =
Thus we find standard deviation of proportion sample is inversely proportional to the square of the sample size n.
It follows automatically that as sample size increases std deviation decreases.
Here from 80 sample size was made to 200
So std deviation would decrease automatically
We have been given a graph of function g(x) which is a transformation of the function
Now we have to find the equation of g(x)
Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.
First you should check the graph of
You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.
Now the given graph has asymptote at x=-2
which is just 2 unit down from the original asymptote x=0
so that means we need shift f(x), 2 unit down hence we get:
but that will disturb the y-intercept (0,1)
if we multiply by 3 again then the y-intercept will remain (0,1)
Hence final equation for g(x) will be:
I believe this should just be equal to<span>
9π+5e−<span>(<span>⌊9π+5e⌋</span>)</span>=9π+5e−41</span>
The first element in your sum should be the first digit after the decimal point times .1, so you have
.8
The next element in the sum is the second digit after the decimal place times .01, so you get<span>
.8+.06=.86
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Answer:
x = 9
Step-by-step explanation:
First step, divide both sides by pi to get rid of it entirely; you should be left with x - 8 = 1 (because when you divide a value by itself, you always get 1, so pi divided by pi gives you 1)
Second step, add 8 to both sides, leaving you with x = 9