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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
Answer:
0.4875 cents per ounce
Step-by-step explanation:
16 ounces per pound
1.75 lbs x 16 = 28 ounces
$13.65/28 ounces = .4875 cents/ounce
Check: 0.4875 cents x 28 ounces = $13.65
Answer:
40 volcanoes = 100% of them 15% were in California so if we want to know how much % were in Alaska we do 100% - 15% which equals 85%, so 85% were in Alaska. Now to find out how many the geologist visited in each state multiply 40 by the percentage. Number of volcanoes in California = 15% of 40 volcanoes = 0.15 x 40 = 6Number of volcanoes in Alaska = 85% of 40 volcanoes 0.85 x 40 = 34
Step-by-step explanation: