Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = 


where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere =
x
x 
=
x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
Answer:
H0 : μ1 - μ2 = 0
H1 : μ1 - μ2 ≠ 0
-1. 34
0.1837
Step-by-step explanation:
Full time :
n1 = 125
x1 = 2.7386
s1 = 0.65342
Part time :
n2 = 88
x2 = 2.8439
s2 = 0.49241
H0 : μ1 - μ2 = 0
H1 : μ1 - μ2 ≠ 0
Test statistic :
The test statistic :
(x1 - x2) / sqrt[(s1²/n1 + s2²/n2)]
(2.7386 - 2.8439) / sqrt[(0.65342²/125 + 0.49241²/88)]
−0.1053 / sqrt(0.0034156615712 + 0.0027553)
-0.1053 /0.0785554
= - 1.34
Test statistic = - 1.34
The Pvalue :
Using df = smaller n - 1 = 88 - 1 = 87
Pvalue from test statistic score ;
Pvalue = 0.1837
Pvalue > α ; We fail to reject the null and conclude that the GPA does not differ.
At α = 0.01 ; the result is insignificant
Answer:
(x+5) (x-2)
SO -5 and 2 option A
Step-by-step explanation:
factor it. and set equal to zero.