Answer:
L=6x^2-4x+5
P=12x^2-4x-2
Step-by-step explanation:
A=WL
So, we know the area is 6x^2-8x-30 and the width is 2x-6
Substitute
(6x^2-8x-30)=(2x-6)(L)
L=(6x^2-8x-30)/(2x-6
Divide
L=6x^2-4x+5
P=2L+2W
Substitute
P=2(6x^2-4x+5)+2(2x-6)
P=12×^2-8x+10+4x-12
Simplify
P=12x^2-4x-2
Number of combinations possible = 4! / 2! 2! = 6
Each of these has probability 1/2*1/2*1/2*1/2 = 1/16
Required probability = 6 * 1/16 = 3/8
Answer:
Option 4: r ≥ 6
Step-by-step explanation:
5(6+3r) + 7 ≥ 127
30 + 15r + 7 ≥ 127
37 + 15r ≥ 127
15r ≥ 90
r ≥ 6
Answer:
And the 90% confidence interval would be between [566.80 and 579.20]
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=22 represent the sample standard deviation
n=36 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence level is 0.90 or 90%, the significance would be
and
, and the critical value for this case would be
And replacing we got:
And the 90% confidence interval would be between [566.8033 and 579.1967]
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