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lidiya [134]
3 years ago
15

If √6 is the geometric mean between 4 and another number, then the number is

Mathematics
1 answer:
joja [24]3 years ago
4 0
If you have two numbers x, y.  The geometric mean is:  √xy

For 4 and x.  Geometric Mean =  √4x  and this is equal to √6

             √4x  =  √6     Square both sides.  The square root disappears.

               4x = 6 
                 x  = 6/4 = 3/2 = 1.5

The other number is 1.5.

 
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Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all
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This question is Incomplete

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.

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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)

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The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

5 0
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