There are total 6 numbers
less than or equal to 16 are 2 numbers
so probability of event A is 2/6 or 1/3 if simplified
A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rate.
from the given table
when x=0 , y=20
when x= 1 , y = 30
We use this information to find exponential growth equation
General form of exponential growth is

WE plug in the given values and find out value of a and b
when x=0 , y=20

20 = a
Now we find out b
when x= 1 , y = 30

divide both sides by 20

So exponential function becomes

Now we find the insect population at the end of week 11
We plug in 11 for x


Round the answer to nearest whole number
1730 is the insect population at the end of week 11
Answer:
Step-by-step explanation:
When m+3=-5, collection of like terms says; -5-3
Now,-5+-3 = -8 and -2≠-8 hence,they aren't equivalent
Answer:
B. 24
Step-by-step explanation:
Since both triangles are similar, therefore,
GM/XD = AG/KX
(x - 2)/6 = (x + 9)/9
Cross multiply
9(x - 2) = 6(x + 9)
9x - 18 = 6x + 54
Collect like terms
9x - 6x = 18 + 54
3x = 72
Divide both sides by 3
x = 72/3
x = 24
The amount of sugar
in the starting solution contributes to a 36% concentration, so we have

units of sugar in the solution.
Into this solution, Sharon wants to pour
liters of water to obtain a smaller concentration of sugar in the overall solution:

So Sharon needs to add
liters of water to the solution to get the desired concentration.