Answer:
Below.
Step-by-step explanation:
4x^2 - 4x - 1 = 0
This will not factor.
But 4x^2 - 4x + 1 = 0 will:
= (2x - 1)(2x - 1) = 0
x = 0.5 (*2)
Using the z-distribution, the confidence interval is given by: (11.95, 12.65).
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
![\overline{x} \pm z\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%5Cpm%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which:
is the sample mean.
is the standard deviation for the population.
In this problem, we have a 90% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.645.
The other parameters are given as follows:
![\overline{x} = 12.3, \sigma = 1.5, n = 50](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%3D%2012.3%2C%20%5Csigma%20%3D%201.5%2C%20n%20%3D%2050)
Hence the bounds of the interval are:
![\overline{x} - z\frac{\sigma}{\sqrt{n}} = 12.3 - 1.645\frac{1.5}{\sqrt{50}} = 11.95](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20-%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%2012.3%20-%201.645%5Cfrac%7B1.5%7D%7B%5Csqrt%7B50%7D%7D%20%3D%2011.95)
![\overline{x} - z\frac{\sigma}{\sqrt{n}} = 12.3 + 1.645\frac{1.5}{\sqrt{50}} = 12.65](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20-%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%2012.3%20%2B%201.645%5Cfrac%7B1.5%7D%7B%5Csqrt%7B50%7D%7D%20%3D%2012.65)
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
$54.25
Step-by-step explanation:
50.75 + 2.50 - 3.25 - 1.75 + 1.25 + 4.75 = ?
54.25
Answer:
no if your account got suspended it means you have been banned for a while not forever
Step-by-step explanation: