Answer:
(1) Please find attached the graph of the data
(2) 160.396 m
(3) The correlation that exist is a straight line correlation
Step-by-step explanation:
The given data are;
Distance, Time
(m), (s)
50, 6.1
100, 12
150, 18.3
200, 25.2
250, 31.7
(2)
Based on the linear regression formula, we have;
The line is
y = 7.7581×x+5.234
When t = 20 s, we have
y = 7.7581*20+5.234 = 160.396 m
(3) The correlation that exist is a straight line correlation
Negative
basically
negative means change sign
positive means do nothing
change sign times do nothing=change sign=negative
basically
(+)(+)=(+)
(-)(-)=(-)
(+)(-)=(-)
(-)(+)=(-)
and
(+)/(+)=(+)
(-)/(-)=(-)
(+)/(-)=(-)
(-)/(+)=(-)
answer is negative
9514 1404 393
Answer:
Step-by-step explanation:
To find the initial amount, put 0 where t is in the formula and do the arithmetic.
A(0) = 523(1/2)^0 = 523(1) = 523
The initial amount is 523 grams.
__
To find the amount remaining after 100 years, put 100 where t is in the formula and do the arithmetic.
A(100) = 523(1/2)^(100/30) ≈ 523(0.0992123) ≈ 52
About 52 grams will remain after 100 years.
Answer:
56.25°
Step-by-step explanation:
The definition of the cosine function tells you that
cos(B) = BC/BA
B = arccos(BC/BA) = arccos(5/9)
B ≈ 56.25°
