Answer:
The answer is
<h2>36π cubic inches</h2>Step-by-step explanation:
Volume of a sphere is given by
<h3>where r is the radius
From the question
r = 3 inches
Substitute the value into the above formula and solve for the volume
That's
<h3>We have the final answer as
<h3>36π cubic inches</h3>Hope this helps you
Answer:
(x - 3)² - 16 = 0
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Subtract 7 from both sides
x² - 6x + 7 = 0 ← in standard form
with a = 1, b = - 6
Given a quadratic in standard form then the x- coordinate of the vertex is
= -
= -
= 3
Substitute x = 3 into the equation for y
y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)
y = (x - 3)² - 16 = 0
Answer:
The probability that the cell will be killed is 0.9328.
Step-by-step explanation:
We are given that five nanotubules are inserted in a single cancer cell. Independently of each other, they become exposed to near-infrared light with probabilities 0.2, 0.4, 0.3, 0.6, and 0.5.
Let the event that a cell is killed be 'A' and the event where the ith nanotubule kill the cell be ''.
This means that the cell will get killed if happens. This represents that the cell is killed if nanotubule 1 kills the cell, or nanotubule 2 kills the cell, and so on.
Here, P() = 0.2, P(
) = 0.4, P(
) = 0.3, P(
) = 0.6, P(
) = 0.5.
So, the probability that the cell will be killed is given by;
P(A)=
P(A) =
P(A) =
P(A) = 1 - 0.0672 = 0.9328
Hence, the probability that the cell will be killed is 0.9328.