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Complete Question
Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)
Answer:
0.7762
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Population mean = 6.20 bl/s
Standard deviation = 1.58 bl/s.
x = 5 bl/s
z = 5 - 6.20/1.58
z = -0.75949
The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)
Probability value from Z-Table:
P(x<5) = 0.22378
P(x>5) = 1 - P(x<5)
= 1 - 22378
= 0.77622
Approximately to 4 decimal places = 0.7762
The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762
The additive inverse of something is whats added to the original to get 0
So in this case n - n = 0, which is B :)
For a system of two variables and two equations, each equation will be a linear graph, and where the lines intersect is the solution as an ordered pair (x,y). If the lines don’t intersect (they’re parallel) so there is no unique solution.
Answer:
Speed of wind = 23.63 miles per hour
Plane speed in still air = 260 miles per hour
Step-by-step explanation:
Given:
Time taken with wind = 5 hour
Time taken against wind = 6 hour
Assume;
Speed of wind = s
So,
Speed of Plane with wind = (260 + s) miles per hour
Speed of Plane against wind = (260 - s) miles per hour
Distance = speed x time
So,
(260 + s)5 = (260 - s)6
1,300 + 5s = 1,560 - 6s
11s = 260
s = 23.63 miles per hour
Speed of wind = 23.63 miles per hour
Plane speed in still air = 260 miles per hour
