Given:
The table of values.
To find:
The least-squares regression line for the data set in the table by using the desmos graphing calculator.
Solution:
The general form of least-squares regression line is:
...(i)
Where, m is the slope and b is the y-intercept.
By using the desmos graphing calculator, we get
Substitute these values in (i).
Therefore, the correct option is A.
A recursive pattern is a sequence of numbers that entails a pattern between succeeding numbers. in this case, we can see that sequence 2 has an arithmetic difference of 9, that is the proceeding terms are 40, 49, 58.. The third one has also an arithmetic difference that is increasing by 3 each. The answer then is A which has no pattern.
An=a1r^(n-1)
given
a5=1/24
a10=1/768
we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)
so
1/24=a1r^4
1/768=a1r^9
(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32
r^5=1/32
take 5th root of both sides
r=1/2
we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3
the first term is 2/3
Answer:
252 children and 395 adults
Step-by-step explanation:
Make a linear system of equations, where x represents the number of children and y represents the number of adults
x+y=648
1.50x+2.25y=1269
solve using substitution, so y=648-x,
then substitute this into the second equation, so you get 1.50x+2.25(648-x)=1269,
solve for x and you will get x equals the 252
then substitute this into the first equation, so you get 252+y=648
solve and you will get y=395
