Answer:
The only point (0,0) lies inside the shaded region and hence it gives a solution for the set of inequalities.
Step-by-step explanation:
See the graph attached to this question.
The solution of the set of inequalities is given by the shaded region on the graph.
Now, the point (0,5) is outside this shaded region, hence it can not be the solution.
The point (3,0) also is outside this shaded region, hence it can not be the solution.
The point (-3,0) also is outside this shaded region, hence it can not be the solution.
Now, the only point (0,0) lies inside the shaded region and hence it gives a solution for the set of inequalities. (Answer)
Answer: Choice B
A net is shown with a pentagon in the middle and 5 identical triangles on the 5 sides of the pentagon
The pentagon forms the base of the pentagonal pyramid. Each lateral side is a triangle that meets at the very top of the pyramid. The base stays on the floor while the sides are folded up.
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There are other possible net configurations to form a pentagonal pyramid, but the other answer choices do not make a pentagonal pyramid.
- Choice A produces a square pyramid.
- Choice C makes a triangular pyramid (aka tetrahedron).
- Choice D makes a hexagonal pyramid.
So we can rule choices A, C and D out.
Solution :
The data is normally distributed.
The standard deviation is 18 days
Here the data is normally distributed and 54 days is 3 days of standard deviation.
Therefore, the percentage of the births that would be 
within the 54 days of the mean 
length is given by :
= P( -3 < Z < 3)
= 0.9544
= 95 %
Therefore, about 95% of the births would be within 54 days of the men length.
Step-by-step explanation:
We need to say that 
is equivalent to what.
We know that, (3)² = 9
So,
We can write 
And 
So,
So, is equivalent to 
.
Hence, this is the required solution.
