The sign in the exponent: positive->increases, negative->decreases. Think that a negative sign implies 1/exponential and you'll clearly see the reason.
Answer:
3.37 times
Step-by-step explanation:
Probability of hitting and odd number= 3/5
Probability of hitting and odd number=2/5
Probability of hitting and odd number three times= (3/5)^3
Probability of hitting and odd number three times=(2/5)^3
Now
(3/5)^3 / (2/5)^3 = 3.37
Hence Probability of hitting an odd number three times is 3.37 times more than the probability of hitting an even number three times !
We have to calculate the height of a cylinder : h2 = ( 45 - 2 · 15 )/ 2 = 15 / 2 = 7.5 mm
Volume of the bottom of the hourglass:V = 1/3 r² π h1 + r² π h2 = = 1/3 · 6² · 3.14 · 15 + 6² · 3.14 · 7.5 = = 1/3 · 36 · 3.14 · 15 + 36 · 3.14 · 7.5 = = 565.2 + 847.8 = 1,413 mm³The rate is 10 π mm³/ sec = 31.4 mm³/secTime = 1,413 : 31.4 = 45 sec.Answer: It will take 45 seconds.