Standard formula for arithmetic sequence:
an = a0 + d(n-1)
if we use the two terms given, setting a12 as starting term and a45 as the end term an.
170 = 38 + 33d
170 - 38 = 33d
132 = 33d
132/33 = d
This is the common difference, use it to find the first term.
38 = a0 + (132/33)(12-1)
38 = a0 + (132/33)(11)
38 = a0 + 132/3
38 - 132/3 = a0
38 - 44 = a0
-6 = a0
The starting term is -6
Answer: Sam and Morgan met up at 18:00. Sam left Exeter at 10:00, and was on the road for 7 hours. I know this because 175 / 25 = 7. 10:00 + 7:00 = 17:00 meaning Sam got there at 17:00. Morgan on the other hand left at 13:00 and had an average speed of 35 mph. 175/35=5. 13:00 + 5:00 = 18:00. By 18:00 both Sam and Morgan had arrived in London thus 18:00 us your answer.
Step-by-step explanation:
Answer: It is a strong positive correlation,and it is not likely causal.
Step-by-step explanation: Correlation Coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.with negative values depicting a negative relationship and positive values showing positive relationship. Value of 0 implies that, no relationship exists. The closer the correlation Coefficient value is to +1 or - 1, the greater the strength of the relationship between them. Also correlation does not mean causation. Hence, a correlation coefficient of 0.74 depicts a strong positive relationship. However it doesn't imply causation.