5. Circle A has a radius of 9 units . Point R lies 5 units away from A. A chord drawn through R is partitioned by the diameter o
f A passing through R into two segments, one of which has a length of 7 units. Is the length of the other segment longer or shorter than 7 units ? Justify your answer.
1 answer:
Answer:
The length of the other segment is longer than 7 units
Step-by-step explanation:
we know that
The<em> i</em><u><em>ntersecting chords theorem</em></u> states that the products of the lengths of the line segments on each chord are equal
see the attached figure to better understand the problem
Remember that the diameter of the circle is two times the radius
Let
x ----> the length of the other segment
so
therefore
The length of the other segment is longer than 7 units
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Answer: 1) The best estimate for the average cost of tuition at a 4-year institution starting in 2020 =$ 31524.31
2) The slope of regression line b=937.97 represents the rate of change of average annual cost of tuition at 4-year institutions (y) from 2003 to 2010(x). Here,average annual cost of tuition at 4-year institutions is dependent on school years .
Step-by-step explanation:
1) For the given situation we need to find linear regression equation Y=a+bX for the given situation.
Let x be the number of years starting with 2003 to 2010.
i.e. n=8
and y be the average annual cost of tuition at 4-year institutions from 2003 to 2010.
With reference to table we get
By using above values find a and b for Y=a+bX, where b is the slope of regression line.
and
∴ To find average cost of tuition at a 4-year institution starting in 2020.(as n becomes 18 for year 2020 if starts from 2003 ⇒X=18)
So, Y= 14640.85 + 937.97×18 = 31524.31
∴The best estimate for the average cost of tuition at a 4-year institution starting in 2020 = $31524.31
