The only value for x to make tanx = 0 is either 0 or 180 or 0 or pi.
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)
Answer:
3 students with red hair
12 students with brown hair
Step-by-step explanation:
1/6 times 18 = 18/6 = 3 students with red hair
4/6 times 18 = (18 times 4)/6= 12 students with brown hair
Answer:
he cross section becomes smaller but stays a trapezoid.
Step-by-step explanation:
Answer:
2 =6
3= 9
4=12
5=15
Step-by-step explanation:
Formula is 3x
2 x 3= 6
3 x 3=9
4 x 3= 12
15/3= 5
