Answer:
Age of teacher = 32 years
Step-by-step explanation:
Average age of 15 students = 16 years
Sum of age of 15 students = 16 * 15 = 240 years
Average of age 15 students and a teacher = 17 years
Sum of age 15 students and a teacher = 17 * 16 = 272 years
Age of teacher = 272 - 240 = 32 years
1. Use the FOIL method (x+9)(x+9)
First, outer, inner, last

Add your like terms

2. When you add or subtract polynomials you add or subtract the like terms and then put them in order from largest to smallest exponents.
3.

4. Since it is the perimeter, we add the 3 together.

Add the like terms together:

Put them in order of exponents

Hope this helps
Answer:
b = 14-4
Step-by-step explanation:
Let the number of black bugs be b
Let the number of green bugs be g
If 14 bugs are crawling on the step, then;
b + g = 14 ....1
If there are 4 green bugs, then g = 4
Substitute g = 4 into the equation
b + g = 14
b + 4 = 14
b = 14 - 4
Hence the sentence that can be required to find the number of black bugs is b = 14-4
This problem is a combination of the Poisson distribution and binomial distribution.
First, we need to find the probability of a single student sending less than 6 messages in a day, i.e.
P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
=0.006738+0.033690+0.084224+0.140374+0.175467+0.175467
= 0.615961
For ALL 20 students to send less than 6 messages, the probability is
P=C(20,20)*0.615961^20*(1-0.615961)^0
=6.18101*10^(-5) or approximately
=0.00006181
20 seconds
i feel like that is right