E=Z*sqrt (p(1-p)/N), where E= error margin, p=proportion, N=sample size
Katrina's margin error at 85% confidence interval: E=1.96*sqrt (p(1-p)/100) = 0.196 sqrt (1(1-p))
Mathew's margin error at 99% confidence interval: E= 2.58*sqrt (p(1-p)/400) = 0.129 sqrt (p(1-p))
Since both obtained same estimate of proportion (that is, value of p), it can be seen that Mathew's estimate will have a small error (That is, 0.129 is smaller than 0.196). This can be attributed to larger sample size although a wider confidence (99%) interval was considered.
Answer:
9x4+126x3+648x2+1440x+1152
Step by step:
27(x^2+8x+16) / 3 (x^2+6x+8)
(27(x^2+8x+16) / 3) (x^2+6x+8)
(27(x^2+8x+16) / 3) (x^2) +(27(x2+8x+16) / 3) (6x)+(27(x2+8x+16)/3) (8)
9x4+72x^3+144x^2+54x^3+432x^2+864x+72x^2+576x+1152
9x4+126x3+648x2+1440x+1152
The graph of f(x) + 1 is the graph in the option C.
<h3>
Which is the graph of f(x) + 1?</h3>
For a given function f(x), a vertical translation is written as:
g(x) = f(x) + N
- If N > 0, then the translation is upwards.
- If N < 0, then the translation is downwards.
Here we have g(x) = f(x) + 1, so we have a translation of 1 unit upwards, the graph of f(x) + 1 is the graph of f(x) but translated one unit upwards.
From that, we conclude that the correct option is C.
If you want to learn more about translations:
brainly.com/question/24850937
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Answer:
2 1.2 and -2 1/2
Step-by-step explanation:
All of them??? or just one
