Step-by-step explanation:
6x - 15 = 75, 6x = 90, x = 15.
2(2x - 1) = 46, 2x - 1 = 23, x = 12.
x + (x - 10) = 26, 2x = 36, x = 18.
5x - 3x = 10, 2x = 10, x = 5.
Hence the equations
in increasing order of x-values are:
5x - 3x = 10,
2(2x - 1) = 46,
6x - 15 = 75, and
x + (x - 10) = 26.
Answer:
90% confidence interval for the population mean is between a lower limit of $92.18 and an upper limit of $107.82.
Step-by-step explanation:
Confidence interval for a population mean is given as mean +/- margin of error (E)
mean = $100
sd = $25.20
n = 30
degree of freedom = n-1 = 30-1 = 29
confidence level (C) = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
critical value (t) corresponding to 29 degrees of freedom and 10% significance level is 1.699
E = t×sd/√n = 1.699×25.20/√30 = $7.82
Lower limit of population mean = mean - E = 100 - 7.82 = $92.18
Upper limit of population mean = mean + E = 100 + 7.82 = $107.82
90% confidence interval is ($92.18, $107.82)
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Answer:
50 lbs.
Step-by-step explanation: