Answer:
24 hours
Step-by-step explanation:
Let x represent the time required to fill both pipes if they are left open
1/6 + (-1/8)= 1/x
1/6 - 1/8= 1/x
Divide through by 48
48(1/6) -48(1/8) = 48(1/x)
8 - 6 = 48 x
2= 48/x
2x= 48
x= 48/2
x= 24
Hence it will take 24 hours to fill the pipe if the drain is left open
Answer:
29 years
Step-by-step explanation:
The population of the Chinese people is 1.3 bn, and they grow at a rate of 0.49% per year. To get the number of years it requires to reach 1.5 bn, we use this method
after x years, the population will be
1.3 * 1.0049^x
so you just need to solve
1.3 * 1.0049^x = 1.5
1.0049^x = 1.5/1.3
x log 1.0049 = log(1.5/1.3)
x = log(1.5/1.3)/log(1.0049)
x = 0.062 / 0.002122
x = 29.25 years
Therefore, at the rate of 0.49%, the Chinese population of 1.3bn needs 29 years to clock 1.5 bn
Answer:
chances chances of happening = 0.0119
Step-by-step explanation:
given data
bet = $5
independent fair games = 50
solution
we will think game as the normal distribution
so here mean is will be
mean = 
mean = 25
and standard deviation will be
standard deviation = 
standard deviation = 3.536
so
we have to lose 33 out of 50 time for lose more than $75
so as chance of doing things z score is
z score = 
z score = 2.26
so from z table
chances chances of this happening = 0.0119
40x+20y=300
x= amount of soda bottles
y= amount of juice bottles
Solving this equation, finding x&y will give you the number of each bottles!
I hope this helped!
~ Penny
