Step-by-step explanation:
f(g(10))
This is called a composite function. It's when you plug one function into another.
First, find g(10):
g(x) = √(x-9)
g(10) = √(10-9)
g(10) = √1
g(10) = 1
Then plug that into f(x):
f(x) = -9x - 9
f(g(10)) = -9 g(10) - 9
f(g(10)) = -9 (1) - 9
f(g(10)) = -9 - 9
f(g(10)) = -18
Answer:
The confidence interval for 90% confidence would be narrower than the 95% confidence
Step-by-step explanation:
From the question we are told that
The sample size is n = 41
For a 95% confidence the level of significance is
and
the critical value of
is 
For a 90% confidence the level of significance is
and
the critical value of
is 
So we see with decreasing confidence level the critical value decrease
Now the margin of error is mathematically represented as
given that other values are constant and only
is varying we have that

Hence for reducing confidence level the margin of error will be reducing
The confidence interval is mathematically represented as

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower
253. First, I squared 8, to get 64, then multiplied that by 12. I subtracted 9 from this because 3x3 is 9 to get 759. Then, divide this by 3 to get 253. Hope this helped!
The reason why Fiona cannot make a valid prediction based on the mean of the population is that the variation of Fiona’s samples is too large.
<h3>Why can't Fiona use the means she recorded?</h3><h3 />
Mean is quite sensitive to outliers so it is best used when the variation between variables is not too much.
In Fiona's case, there variation is quite high with high variable of 95 compared to a low value of 45.
Find out more on effect of outliers at brainly.com/question/16815987.
#SPJ1
Answer:
68
Step-by-step explanation:
The lines on both sides of the number represent absolute value. Absolute value takes any number and turns it positive no matter what.
|-68| → 68
Best of Luck!