Response:
P(largest or smallest) = 0.30 + 0.20 - 0.15
Detailed explanation
You add the probabilities of choosing the largest and smallest without double counting the chance of selecting both.
Answer:
The P-value signifies that the likelihood of obtaining a linear correlation coefficient that is as extreme or more extreme is 3.5%, which is considered significant at α=0.05. Thus, we have sufficient evidence to assert that there exists a linear correlation between the weight of automobiles and their highway fuel consumption.
Step-by-step explanation:
The correlation coefficient demonstrates the relationship between the weights and highway fuel consumption values across seven distinct types of automobiles.
The P-value expresses the significance of this connection. If the p-value is beneath a significance level (e.g., 0.05), it indicates that the relationship is indeed significant.
Response:
Detailed explanation:
The timing data for each lap will form an arithmetic progression (AP) with a first term of 25 s and a common difference of 1.6 s.
a )
first term a = 25
common difference d = 1.6.
The 10th term of the sequence can be found using the formula
a₁₀ = 25 + (10-1) x 1.6
= 25 + 1.6 x 9
= 39.4 s
b )
Let n be the final lap
a(n) = a + (n-1) x d
55.4 = 25 + (n-1) x 1.6
n - 1 = 19
n = 20.
c )
The total for all terms in the AP
=(first term + last term) x number of terms / 2
= (25 + 55.4) x 20 / 2
= 804 s.
= 804 / 60 min
= 13.4 min.
