The probability that the first student is a girl is 5/10.
The probability of the second selection being a boy is 5/9.
(since the first selection was a girl, there are 9 students left)
The probability that the third student is a girl is 4/8
(there are 4 girls left after one was selected, and 8 students left in total, after the second selection.
The probability is (5/10)(5/9)(4/8)=0.139
Answer: 0.139
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
Find the Greatest Common Factor (GCF)
GCF = 4
Factor out the GCF. (Write the GCF first, then in parenthesis, divide each term by the GCF.)
4(8x/4 + 16y/4 + 44/4)
Simplify each term in parenthesis
<u>= 4(2x + 4y + 11) </u>
Answer:
.....................
10)=(-3)^2.x^4×2.y^2(5.x^2y^6)-7^2x^5×2y^4×2
=(9×5)x^8+2y^2+6-49x^10y^8
=45x^8+2y^2+6-49x^10y^8
=45x^10y^8-49x^10y^8
=-4x^10y^8