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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
Let's assign a variable x to the number of multiples for each pound of dry mix and water. With that being the said, the question for finding the total pounds would be:
Total pounds = x*Pounds of dry mix + x*Pounds of water
Total pounds = 60x + 8x = 68x = 14 + 1/6 = 85/6
x = 85/6 / 68
x = 5/24
Thus, the pounds of dry mix is 60*5/24 = 25/2 lbs, while the pounds of water is 8*5/24 = 5/3 pounds.
Answer:
Step-by-step explanation:
The radius it .5 of the diameter so in this case the radius is 11. The formula for area is pi*r^2= pi*11^2=pi*121=380.13
Answer:
11+ 8+3=22
Step-by-step explanation:
