8 units
(This is how I get the answer)
You want to know how long it'll take for the bacteria to grow
to (800/500) = 1.6 times their initial population.
The number of double-times it'll take is
[ log(1.6) / (log(2) ] = 0.6781 .
The double-time for these particular critters is 12 hours,
so it'll take them
0.6781 x 12 hours = 8.137 hours
= 8 hours 8.2 minutes .
Answer:
2x + y = 5
y = 4x – 1
Substitute (2, 1) into system, then:
2x + y = 5 => 2 x 2 + 1 = 5 => 5 = 5 (satisfied)
y = 4x– 1 => 4 x 2 - 1 = 1 => -7 = 1 (not satisfied)
=> Option 3 is correct.
Hope this helps!
:)
Answer:
The probability of Javier volunteers for less than three a month is 25%
Step-by-step explanation:
According to the questions,
The probability of Javier to attend exactly 5 events :-
P ( x = 5 ) = 25% = 
The probability of Javier to attend exactly 4 events :-
P ( x = 4 ) = 
The probability of Javier to attend exactly 3 events :-
P ( x = 3 ) = 
The probability of Javier to attend exactly 2 events :-
P ( x = 2 ) = 
The probability of Javier to attend exactly 1 events :-
P ( x = 1 ) = 
The probability of Javier to attend no events :-
P ( x = 0 ) = 
Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).
P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )
P ( x < 3 ) =
=
=
= 0.25 = 25 %.
The common factors of 32 and 48 are 16, 8, 4, 2, 1,