Answer:
-1.683
Step-by-step explanation:
Given :
Group 1 :
x1 = 667 ; n1 = 10 ; s1 = 20
Group 2 :
x2 = 679 ; n2 = 14 ; s2 = 15
The test statistic assuming equal variance :
x1 - x2 / √[Sp² * (1/n1 + 1/n2)]
sp² = [(n1 - 1)*s1² + (n2 - 1)*s2²] ÷ (n1 + n2 - 2)
Sp² = [(10 - 1)*20² + (14 - 1)*15²] = 296.59
Test statistic =
(667 - 679)/ √[296.59 * (1/10 + 1/14)]
-12 / 7.1304978
Test statistic = - 1.682
Answer:
x = 65°
Step-by-step explanation:
The interior angle of the triangle and 140° are adjacent and supplementary, thus
interior angle = 180° - 140° = 40°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
105° is an exterior angle of the triangle, thus
x + 40° = 105° ( subtract 40° from both sides )
x = 65°
Answer:vhv
Step-by-step explanation:hhgjhghjgjg
F(x) = 4.8x
Have to calculate the apothem of the octagon.
That is the altitude of one of the triangles whose base is x and vertex angle is 22.5 degrees. Divide 360 degrees /8 = 45 degrees, then divide by 2 for the altitude angle.
Using the apothem "a" formula for the area,
Area = a^2 P/2 where P is the perimeter which is 8x
Tan 22.5 = (x/2)/a. a = 1.2
