Answer:
The standard error is 0.02849
Step-by-step explanation:
<u>Explanation:</u>-
given data is 42% of primary case doctors think their patients receive un-necessary medical care.
That is The proportion 'p' = 42% = 0.42
Given sample size is n =300
The standard error of the sampling distribution of the sample proportion is


use calculator on simplification , we get
standard error = 0.02849
Step-by-step explanation:
A sequence is an ordered list of numbers.
lim n → ∞ an = 8 means that as n approaches infinity (becomes large), an approaches 8.
lim n → ∞ an = ∞ means that as n approaches infinity (becomes large), an approaches infinity (becomes large).
The main thing you want to ask yourself is "What is the difference between the two graphs?"
As we can see, the graphs look identical in every way except that g(x) is lower than f(x).
This means that the graph is shifted down a certain amount.
If we look at the y-intercepts of the two functions, we see that f(x) has a y-intercept of 1, and g(x) has a y-intercept of -1.
This means that f(x) is two units lower than g(x).
The y-intercept of a function can be changed by adding or subtracting a number to the original function (in this case 2^{x}).
Because the graph f(x) is 2 lower than the graph of g(x), we can find g(x) by subtracting 2 from f(x).
Therefore, g(x) = 2^{x} - 2.
We have been given that Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Also, she donates $2 to clean water projects per tax return she files.
Further we know that Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.
Let x be the number of free income tax returns and y be the number of $35 income tax returns.
Therefore, we can set up:

Since she donates $2 for each return that she files, therefore, we can set up:

Therefore,
Sterre filed 414 tax returns for free and filed 207 tax returns for $35.
Answer: 5 gallons
Step-by-step explanation:
There are 3 x's on the graph for 1/4, so 1/4 times 3=3/4
There are 2 x's on the graph for 3/8, so 3/8 times 2=3/4
There are 4 x's on the graph for 5/8, so 5/8 times 4=5/2
There is only 1 x for 1, so it will remain 1.
So if you add these up,
3/4+3/4+5/2+1
6/4+10/4+1
16/4+1
4+1
There is 5 gallons of sap produced that day.
Hope this helped!