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IgorC [24]
3 years ago
5

Can someone please help me with math

Mathematics
1 answer:
SpyIntel [72]3 years ago
5 0
Answer is nonlinear.
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In an experiment, a ball is drawn from an urn containing 11 red balls and 13 purple balls. If the ball is red, two coins are tos
joja [24]
Sample space is the total number of possible outcomes. The general formula for this is r^n, where r is the number of outcomes per trial, while n is the number of trials. 

For the first question, the equation would be 2² because 2 coins are tossed so n=2. Then, r=2 because there are two possible outcomes, namely, the head and the tail. So, the answer for letter a is 4.

For the second question, we will add to the answer in letter a with 2³, because this time, 3 coins are tossed. Thus, the total sample space is 4 + 2³ = 12.
6 0
3 years ago
Consider a sphere of radius R > 0. Take two antipodal points A and B on the sphere, and another point C on the sphere. Check
aleksklad [387]

Answer:

To this question; we want to show that if two antipodal points on a sphere were A and B, for any random point C on the sphere, AC is perpendicular to BC?

Step-by-step explanation:

I would proceed by imagining the sphere in a three dimensional Cartesian coordinate system. For example, use a sphere of diameter 2 and let it sit at the origin. Then (0, 0, 1) and (0, 0, -1) are the vector locations of the “north and south poles” of the sphere.

Now choose the vector location of any point on the surface of the sphere. It will have a vector location - we’ll call it (x, y, z). Now the vectors from your point to the two poles are (-x, -y, 1-z) and (-x, -y, -1-z).

Now just form the dot product of those two vectors:

(-x, -y, 1-z) . (-x, -y, -1-z) = x^2 +y^2 + (1-z)*(-1-z)

Now the truth of your claim will be embodied in that dot product being zero:

x^2 + y^2 - (1+z)(1-z) = 0

x^2 + y^2 - (1-z^2) = 0

x^2 + y^2 + z^2 = 1

But that last line is just the definition of points on the surface of a sphere of radius 1, so the claim is proven.

Since R>0 and AC is perpendicular to BC, the <ACB is at right angle.

Please, find attached a simple image to show antipodal points (Two points that makes a diameter) and a point C on the sphere.

5 0
3 years ago
HELP I NEED HELP ASAP
Andrei [34K]

Answer:

D its D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How would I do all of these problems
Bogdan [553]
All you have to do is figure out the bases of the figure and use the 12 and 13 in your problems and you should be able to get the right answer.
5 0
3 years ago
For questions 3-5 solve the equation for the given variable:
lyudmila [28]
1 would be the right answer !!!!!!!!!!!!!!!!!!!!!
3 0
3 years ago
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