Which is equivalent toStartRoot 10 EndRoot Superscript three-fourths x ?
2 answers:
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Answer:
a.[144;158]$
b. The parameter being estimated is the average weekly food expenses of American families.
Step-by-step explanation:
Hello!
The variable studied here represents "Weekly food expenses incurred by an American family"($)
From a sample of n=1014 American families, the sample mean is x[bar]=$151
It is indicated that for the 95% confidence interval, the margin of error is ±$7
a.
The estimated confidence interval for the population mean is formed as "estimator ± margin of error." In a Standard Normal distribution, the confidence interval formula is:
[x[bar]±*(δ/√n)]
For the provided sample, we have:
[151±7]
The lower limit equates to 144$
The upper limit amounts to 158$
b.
The parameter being contemplated is the average weekly food expenses of American families.
The confidence level for this interval reflects the likelihood that if 100 such intervals were constructed, approximately 95 would encompass the true value of the population mean we aim to estimate.
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Answer:
4.0921 reflects the logarithm of the equilibrium constant.
Step-by-step explanation:
; E° = - 0.41 V
; E° = 0.80 V
Iron has a negative reduction potential, indicating its tendency to lose electrons and undergo oxidation, and thus it will be at the anode.
=Reduction potential of cathode - Reduction potential of anode
; E° = - 0.41 V
; E° = 0.80 V
Net reaction:
n = 2
To determine the equilibrium constant, we utilize the correlation with Gibbs free energy, as follows:
and,
Aligning these two equations yields:
where,
n = electrons transferred = 2
F = Faraday's constant = 96500 C
= standard electrode potential of the cell = 1.21 V
R = gas constant = 8.314 J/K.mol
T = reaction temperature =
Substituting values into the equation, we arrive at:
4.0921 represents the logarithm of the equilibrium constant.