Answer: 
Step-by-step explanation:
All radii of a circle are congruent, so by the base angles theorem
Also, angles x and y are inscribed in the same arc, and they are thus congruent, meaning x = 65.
Answer:

Step-by-step explanation:
x and 52 are supplementary, so they add up to 180°

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
Answer:
Step-by-step explanation:
5x + 12 = 12x + 5
-7x + 12 = 5
-7x = -7
x = 1
one solution
Answer:
a. 99.7%
b. 68%
Step-by-step explanation:
The empirical rule for approximately symmetrical and bell-shaped distributions states that:
68% of the data are among the values (means - sd) and (means + sd)
95% of the data are among the values (means - 2*sd) and (means + 2*sd)
99.7% of the data are among the values (means - 3*sd) and (means + 3*sd). So that,
68% of the data are among the values (180 - 8) = 172 and (180 + 8) = 188
95% of the data are among the values (180 - 16) = 164 and (180 + 16) = 196
99.7% of the data are among the values (180 - 24) = 156 and (180 + 24) = 204