The following data show the midterm and final exam scores in an English writing class. Student 1 2 3 4 5 6 7 8 9 10 11 12 Midter
m 81 95 91 98 84 86 88 92 99 91 99 81 Final 79 93 87 96 78 52 67 96 92 91 93 76 Find the sample covariance of the midterm and final exam scores (round off to first decimal place).
1 answer:
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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)
<u>Answer-</u>
<em>After 76 swings</em><em> the angle through which it swings less than 1°</em>
<u>Solution-</u>
From the question,
Angle of the first of swing = 30° and then each succeeding oscillation is through 95% of the angle of the one before it.
So the angle of the second swing =
Then the angle of third swing =
So, this follows a Geometric Progression.
a = The initial term = 30
r = Common ratio =
As we have to find the number swings when the angle swept by the pendulum is less than 1°.
So we have the nth number is the series as 1, applying the formula
Putting the values,
Taking logarithm of both sides,
Therefore, after 76 swings the angle through which it swings less than 1°