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 ![\alpha = [100 - 95]\% = 0.05](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%5B100%20-%2095%5D%5C%25%20%3D%20%200.05)
and
the critical value of 
is 
For a 90% confidence the level of significance is ![\alpha = [100 - 90]\% = 0.10](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%5B100%20-%2090%5D%5C%25%20%3D%20%200.10)
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
Answer:
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Step-by-step explanation:
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I uploaded it here as the answers Bc
Slkwowkneojw
For the first blank where it asks for the perimeter, the perimeter is all the outside sides of a shape added up. So, 6 + 1 + 2 + 4 + 4 + 5 = 22.
For the second blank, you just multiply the entire perimeter by 5, so, 22 times 5=110.
For the third blank, it is basically the same as the previous question. The answer is 5.
For the fourth blank, it is the same perimeter as the first blank, but instead of centimeters, it is in k. So, 22k.
Hope this helped! :)
Answer:
k = –10
Step-by-step explanation:
From the question given above, the following data were obtained:
f(x) = x³ – 6x² – 11x + k
Factor => x + 2
Value of K =?
Next, we shall obtained the value of x from x + 2. This is illustrated below:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2
Finally, we shall determine the value of k as illustrated below:
f(x) = x³ – 6x² – 11x + k
x = –2
Thus,
f(–2) = 0
x³ – 6x² – 11x + k = 0
(–2)³ – (–2)² – 11(–2) + k = 0
–8 – (4) + 22 + K = 0
–8 – 4 + 22 + K = 0
10 + k = 0
Collect like terms
k = 0 – 10
k = –10
Thus, the value of k is –10
