Answer:
Step-by-step explanation:
g(x) = 3x + 5
g(3) = 3(3) + 5
g(3) = 9 + 5
g(3) = 14
-----------------------
f(x) = 2x² + 3
f(g(3)) = 2(g(3)) + 3
f(14) = 2(14²) + 3
f(14) = 2(196) + 3
f(14) = 392 + 3
f(14) = 395
-----------------------------
f(g(3)) = 395
The answer would be 0 solutions.
Here, we see <em>|</em><em />x+6<em>|</em><em /> = 2.
Oh wow! A foreign object!
|x+6|... two lines... what is that?
That is called absolute value. Whatever is inside the two lines, must have a positive answer!
Let's pretend we have a machine that has this absolute value function activated.
What we put in, we must get a positive answer out.
Let's put in -6.
-6 ==> BEEP BEEP ==> 6
Let's try 3.
3 ==> BEEP BEEP ==>3
Whatever we put in, if it is negative or positive, what comes out is always positive.
So, for how many values <em>x</em> is |x+6|=-2 true?
None, because the answer <em>must</em><em /> be positive!
-2 is not positive, <em>2</em><em /> is.
65 degrees because then it adds to 180 degrees
Answer:
A. there is a 99% probability that μ is between 3 and 9.
Step-by-step explanation:
From a random sample, we build a confidence interval, with a confidence level of x%.
The interpretation is that we are x% sure that the interval contains the true mean of the population.
In this problem:
99% confidence interval.
6 ± 3.
So between 6-3 = 3 and 6 + 3 = 9.
So we are 99% sure that the true population mean is between 3 and 9.
So the correct answer is:
A. there is a 99% probability that μ is between 3 and 9.
