The point (8,2,9) is in the first octant.
The closest distance from the coordinate planes is the value y=2, which will therefore be the maximum radius of the required sphere.
The standard equation of a sphere with radius r and centre (u,v,w) is given by
(x-u)^2+(y-v)^2+(z-w)^2=r^2
Substituting r=2, u=8, v=2, w=9, we get the equation of the required sphere
(x-8)^2+(y-2)^2+(w-9)^2=2^2
<span>ME = 1.10.
Explanation:
The margin of error, ME, is given by the formula z*(</span>σ<span>/</span>√<span>n).
Since we want a 90% confidence interval, z=1.645.
</span>σ<span>=6, and n=80, giving us ME=1.645*(6/</span>√<span>80). This comes out to 1.10.</span>
Answer:
1001
Step-by-step explanation:
<span>The simplified form of the following expression: (8r to the power of -5) minus 3, is (8r^-5) - 3.
Your final answer is (8r^-5) - 3.</span>
Answer:
Step-by-step explanation:
we have
we know that
Substitute
