Answer:
5.142857
Step-by-step explanation:
Answer:
-17√2 /26 or -0.9247 to the nearest ten thousandth.
Step-by-step explanation:
The hypotenuse of the right triangle in which tan x = 2/3 is √(2^2 + 3^2)
= √13 so sin x = 2/√13 and cos x = 3/√13
sin2x = 2sinxcos
= 2* 2/√13 * 3/√13
= 12/13.
cos2x = cos^2x - sin^2x
= 9/13 - 4/13
= 5/13.
sin(2x + 5π/4)
= sin2x cos5π/4 + cos2x sin5π/4
= 12/13 * -1/√2 + 5/13 * -1/√2
= -12 / 13√2 - 5 / 13√2
= -17/13√2
= -17√2 /26.
Answer:
H0 : μ = 2
H1 : μ > 2
We fail to reject the null and conclude that no significant evidence exists to support that mean tree-planting time differs from two hours.
Step-by-step explanation:
Given :
X = 23.71,17.79,29.87,18.78,28.76
Sample mean, xbar = Σx / n = 22/10 = 2.2
Standard deviation, s = 0.516 (calculator)
H0 : μ = 2
H1 : μ > 2
Test statistic :
(xbar - μ) ÷ (s/sqrt(n))
n = 10
Test statistic :
(2.2 - 2) ÷ (0.516/sqrt(10))
0.2 / 0.1631735
Test statistic = 1.23
Using the Pvalue from Tscore calculator, df = n - 1 = 10 - 1 = 9
Pvalue(1.23, 9) = 0.1249
Since, Pvalue > α ; We fail to reject the null and conclude that no significant evidence exists to support that mean tree-planting time differs from two hours.