Four books, one each on physics, chemistry, mathematics, and biology are about to be stacked on a shelf. If the books are stacke
2 answers:
Answer: The required probability is 25%.
Step-by-step explanation: Given that four books, one each on physics, chemistry, mathematics, and biology are about to be stacked on a shelf.
We are to find the probability that the mathematics book is on top if the books are stacked randomly.
Let, 'M' be the event that the topmost book is of mathematics.
Then, n(M)=1.
Let 'S' represents the sample space for the experiment.
Then, n(S) = 4.
Therefore, the probability that the mathematics book is on top is given by
Thus, the required probability is 25%.
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Answer:
-I
Step-by-step explanation:
Given :
I=
Now
And
Answer will be -I
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
