Find the domain and range of f(x)=4*(1/2)^x
1 answer:
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Answer:
Answer in terms of a trigonometric function :
Answer in figures
Step-by-step explanation:
Consider the sketch attached below to better understand the problem.
Let x be the distance between point B and the base of the water tower.
From equation 2,
substituting the value of x into equation 1, we get
cross multiplying,
The height of the tower is in terms of the trig function "Tan"
The equation can simply be evaluated to get the answer in figures since the angles are given in the question
I have an expression
floating around in my head; let's see if it makes sense.
The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is
That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:
Plugging in the numbers,
One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.
So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.