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
(C) 
fraction of the marbles now in the bag is blue.
<h3>
What is a fraction?</h3>
- A fraction is a portion of a whole or, more broadly, any number of equal parts.
- In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.
- A common, vulgar, or simple fraction that consists of a numerator above a line and a non-zero denominator below that line.
- Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.
To find what fraction of the marbles now in the bag is blue:
- Important information is that immediately before the last step blue marbles formed
from the marble in the bag. - That means that there were
blue and 
other marbles, for some . - When we double the number of blue marbles, there will be
blue and other marbles. - Hence, blue marbles now form all marbles in the bag.
Therefore, (C) fraction of the marbles now in the bag is blue.
Know more about fractions here:
brainly.com/question/17220365
SPJ4
Complete question:
A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue?
(A) 1/5
(B) 1/4
(C) 1/3
(D) 2/5
(E) 1/2
Step-by-step explanation:
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<u>Question Completion</u>
(a)In this region, are the events "silver" and "black" mutually exclusive:? Choose 1 answer
(A) Yes (B) No
(b) Find the probability that a randomly selected car from this region is mainly silver OR mainly black. P (silver OR black)=
Answer:
(a)Yes
(b)0.41
Step-by-step explanation:
(a) The events silver and black are mutually exclusive. Although a car's color can consist of both silver and black, its main color can only be either silver or black. It cannot be both
(b)In probability theory, given two mutually exclusive events A and B.
P(A or B)=P(A)+(B)
Therefore:
P (silver OR black)= P(silver) + P(black)
= 0.22 + 0.19
= 0.41
