Suprising saying other site names is actually *random gibrish that nobody can understand and so the admin bots delete the question for no reason*
5,400 cubes is needed to fill the rectangular prism.
The confidence interval extremities are given by the formula:
m +/- (z · σ / √n)
In your problem:
m = 3.13
<span> σ = 0.23
n = 36
The z-score for a 99% confidence interval is 2.576
Therefore:
</span>m - (z · σ / √n) = 3.13 - (2.576 · 0.23 / √36) = 3.031
<span>m + (z · σ / √n) = 3.13 + (2.576 · 0.23 / √36) = 3.229
Therefore, the confidence interval is (</span>3.031, <span>3.229).</span>
Answer:
5/8
Step-by-step explanation:
Find P(x = 3 blues for the 2 draws)
two draws
Binomial probability.
we know p = 3/8 for blue, else q = 1 - q = 1 - (3/8)
X = # of blue marbles left in the bag.
apparently it looks like there are 8 marbles in the bag, 3 are blue, 5 are red
X = 3 , means the draw was a red 5/8 for the first draw
the 2nd draw can be a blue or a red so, probability is 1
P(X = 3) = (5/8) * 1 = 5/8
Answer:
The parametric equations for the tangent line are
:
x = Cos(10) - t×Sin(10)
y = Sin(10) + t×Cos(10)
z = 20 + 2t
Step-by-step explanation:
When Z=20:
Z=2t=20 ⇒ t=10
The point of tangency is:
r(10)= Cos(10) i + Sin(10) j + 20 k
We have to find the derivative of r(t) to get the tangent line:
r'(t)= -Sin(t) i + Cos(t) j + 2 k
The direction vector at t=10 is:
r'(10)= -Sin(10) i + Cos(10) j + 2 k
So, the equation of the tangent line is given by:
x = cos 10 -t×Sin(10)
y = sin 10 + t×Cos(10)
z = 20 + 2t
