Answer:
5/156
Step-by-step explanation:
First, how many pieces?
1 red+ 5 green + 7 yellow = 13 pieces
We draw a piece
The probability it is green
P(green) = number of green/ total
= 5/13
Now there are only 12 pieces left
Probability the second piece drawn is red
P(red with 1 piece removed) = number of red/ total left
= 1/12
P(green, then red) = P(green) * P(red with 1 piece removed)
= 5/13 *1/12
=5/156
4/25. 2/5 to draw red and 2/5 to draw odd. 2/5*2/5= 4/25
Step-by-step explanation:
We get two equations here. One for the area and one for the perimeter. The area gives us x×y=50. The perimeter, if we have a rectangle, x+y+x+y=30=2x+2y. For this to work we need to make a simple expression for x or y. Let's go with x here. 2x+2y=30 so x=15-y. if we fill that in the other equation we get (15-y)×y=50 (see picture). y=5 or y=10. If we fill in x×5=50 we get x=10 and vice versa. So the dimensions are 5 centimeters by 10 centimeters
This is the concept of exponential growth, To get the number of bacteria after 10 days we use the formula:
f(t)=ae^(kt)
where;
a=initial number=5000
k=constant of proportionality= 0.04
t=time=10 days
f(t)=future number
thus the number of bacteria in 10 days will be:
f(t)=5000e^(0.04*10)
f(t)=7,459.12
The answer is 7,459.12