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Liula [17]
3 years ago
5

What is the volume of a sphere with a radius of 3 inches? 12π cubic inches 24π cubic inches 36π cubic inches 48π cubic inches

Mathematics
1 answer:
Anni [7]3 years ago
4 0

Answer:

The answer is

<h2>36π cubic inches</h2>

Step-by-step explanation:

Volume of a sphere is given by

<h3>V =  \frac{4}{3} \pi  {r}^{3}</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>V =  \frac{4}{3}(  {3})^{3} \pi \\  =  \frac{4}{3}  \times 27\pi \\  = 4 \times 9\pi</h3>

We have the final answer as

<h3>36π cubic inches</h3>

Hope this helps you

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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

x_{vertex} = - \frac{b}{2a} = - \frac{-6}{2} = 3

Substitute x = 3 into the equation for y

y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)

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Answer:

The probability that the cell will be killed is 0.9328.

Step-by-step explanation:

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Let the event that a cell is killed be 'A' and the event where the ith nanotubule kill the cell be '\text{B}_i'.

This means that the cell will get killed if \text{B}_1 \bigcup \text{B}_2 \bigcup \text{B}_3 \bigcup \text{B}_4 \bigcup \text{B}_5 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(\text{B}_1) = 0.2, P(\text{B}_2) = 0.4, P(\text{B}_3) = 0.3, P(\text{B}_4) = 0.6, P(\text{B}_5) = 0.5.

So, the probability that the cell will be killed is given by;

P(A)= 1 - [(1 - P(\text{B}_1)) \times (1 - P(\text{B}_2)) \times (1 - P(\text{B}_3)) \times (1 - P(\text{B}_4)) \times (1 - P(\text{B}_5))]

P(A) = 1 - [(1 - 0.2) \times (1 - 0.4) \times (1 - 0.3) \times (1 - 0.6) \times (1 - 0.5)]

P(A) = 1 - (0.8 \times 0.6 \times 0.7 \times 0.4 \times 0.5)

P(A) = 1 - 0.0672 = 0.9328

Hence, the probability that the cell will be killed is 0.9328.

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