As the confidence level decreases, the width of the confidence interval increases.
Answer:
I'm not sure but at least i tried
Answer:
756π cm^3.
Step-by-step explanation:
Volume of the cone
270π = 1/3 π r^2 h
270π = 1/3 π r^2 * 10
r^2 = 270 / ( 10/3 )
r^2 = 81
r = 9 cm.
So the volume of the hemisphere = 1/2 * 4/3 * π * 9^3
= 486π cm^3.
So the volume of the whole solid = 270π + 486π
= 756 π cm^3.
|TJ| = sqrt((0 - (-4))^2 + (5 - (-2))^2) = sqrt(4^2 + 7^2) = sqrt(65)
|SE| = sqrt((3 - (-1))^2 + (10 - 3)^2) = sqrt(4^2 + 7^2) = sqrt(65)
|JD| = sqrt((1 - 0)^2 + (-1 - 5)^2) = sqrt(1^2 + (-6)^2) = sqrt(37)
|EK| = sqrt((4 - 3)^2 + (4 - 10)^2) = sqrt(1^2 + (-6)^2) = sqrt(37)
|DT| = sqrt((-4 - 1)^2 + (-2 - (-1))^2) = sqrt((-5)^2 + (-1)^2) = sqrt(26)
|KS| = sqrt((-1 - 4)^2 + (3 - 4)^2) = sqrt((-5)^2 + (-1)^2) = sqrt(26)^2
Since the corresponding sides of the two triangles are equal. the two triangles are congruent by SSS.
Here is the equation:
⇒
You need to get "x" by itself so minus 3 from each side
⇒
⇒
Divide 8 by 2
÷
x=4
So each 4 is equivalent to 4
Lets check:
⇒
⇒
So that means that Marcus practiced the piano for 4 hours and Donnel practiced for 7