Sam runs 2 miles in 16 minutes. If Sam runs at the same rate, how far can he run in 64 minutes?
1 answer:
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Answer: For 95% Confidence Interval:
Upper Limit = 110.2
Lower Limit = 97.8
95% Confidence Interval = [97.8, 110.2]
Step-by-step explanation:
Given that,
Mean(M) = 104
Standard Deviation(SD) = 10
Sample Size(n) = 10
Formula for calculating 95% Confidence Interval are as follows:
Standard error(SE) =
=
= 3.164
⇒ M ± × SE
= 104 ± (1.96)(3.164)
= 104 ± 6.20
∴ Upper Limit = 104 + 6.20 = 110.2
Lower Limit = 104 - 6.20 = 97.8
So,
95% Confidence Interval = [97.8, 110.2]
Answer:
Step-by-step explanation:
1. Blue region. The boundary blue line passes through the points (0,-7) and (3,8), then its equation is
This line is solid, so the sign for the inequality should be with the notion "or equal to".
From the diagram you can see that the origin belongs to the blue region, then its coordinates satisfy the inequality. Thus,
2. Green region. The boundary green line passes through the points (6,-1) and (0,3), then its equation is
This line is solid, so the sign for the inequality also should be with the notion "or equal to".
From the diagram you can see that the origin doesn't belong to the blue region, then its coordinates satisfy the inequality. Thus,
3. The system of linear inequalities that represents these graphs is