The answer is 10^4 x 4^5.
You just have to subtract the powers for the term with 4 as it’s base.
Answer:
B. y = 1.5x +8
Step-by-step explanation:
You can try x=4 in the various equations to see which gives the right value (14).
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A: y = -8(4) +1.5 = -30.5
B: y = 1.5(4) +8 = 14 . . . . . . . . . this equation works
C: y = 8(4) +1.5 = 33.5
D: y = -1.5(4) +8 = 2
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Alternatively, you can use the 2-point form of the equation of a line to write the equation:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (20 -14)/(8 -4)(x -4) +14 . . . . fill in (x1, y1) = (4, 14); (x2, y2) = (8, 20)
y = 1.5(x -4) +14 . . . . . simplify somewhat
y = 1.5x +8 . . . . . . . . write in slope-intercept form
Answer:
(10,2)
97.5
$70
Idk the last one Sry
Step-by-step explanation:
Answer:
The 95% Confidence Interval for the difference between the two population mean completion times =
(0.081, 1.919)
Step-by-step explanation:
Confidence Interval for difference between two means =
μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2
Where
μ1 = mean 1 = 12 mins
σ1 = Standard deviation 1 = 2 mins
n1 = 100
μ2= mean 2 = 11 mins
σ2 = Standard deviation 2 = 3 mins
n1 = 50
z score for 95% confidence interval = 1.96
μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2
= 12 - 11 ± 1.96 × √2²/100 + 3²/50
= 1 ± 1.96 × √4/100 + 9/50
= 1 ± 1.96 × √0.04 + 0.18
= 1 ± 1.96 × √0.22
= 1 ± 1.96 × 0.469041576
= 1 ± 0.9193214889
Confidence Interval
= 1 - 0.9193214889
= 0.0806785111
≈ 0.081
1 + 0.9193214889
= 1.9193214889
≈ 1.919
Therefore, the 95% Confidence Interval for the difference between the two population mean completion times =
(0.081, 1.919)