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Explanation:</h2><h2>
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Here you haven't provided any function, so I'll assume this one:
This is a quadratic function whose graph represents a parabola. Any parabola has its vertex at the point:
Therefore:
Therefore, the vertex is:
The Great War (WW1) killed many empires who had been around for hundreds of years. It introduced some very inhumane weapons such as gas, and was the 1st war when old tactics met new ones. Back then, a war on this scale has never been seen.
It also gave birth to many new nations
Answer:
The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)
Step-by-step explanation:
Notice that when we start with the function 
, and then transform it into the function: 
what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).
Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).
then the point (0, 0) after the translation becomes: (4, -7)
Answer :
That’s it, the probability of getting tail on a single coin toss times the number of observations.
In this case, 1/2 * 72 = 36
However, there’s something called chance error. How much do you expect the result to differ from the expected value? It can be calculated as follows:
The Standard Deviation of this experiment is √(0.5)(0.5) =0.5
The Standard Error is √72 (0.5) ≈ 4.18330 round to the nearst tenth is 4
So, the expected value is 36, give or take 4.
And since the number of tails in a toss coin experiment is normally distributed, then you can expect the number of tails to be between -2 and +2 SEs from the expected value 95% of the time.
In other words, if you repeat this experiment a large number of times, you can expect to obtain between 27 and 43 tails 95% of the time.
Hope this helps
