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
Answer:
1. (-4, 1)
2. I substituted (y = x + 5) into (3x + y = -11) first before substituting the value of x into (y = x + 5) to find the value of y.
Step-by-step explanation:
Substitute y = x + 5 into 3x + y = -11:
3x + y = -11
3x + x + 5 = -11
4x + 5 = -11
4x = -11 - 5
= -16
x = -16 ÷ 4
x = -4
Substitute x = 4 into y = x + 5:
y = x + 5
y = -4 + 5
y = 1
A coordinate point is written like this: (x, y)
Thus, the final answer is: (-4, 1)
Answer: la 3ra contando desde la isquierda
Step-by-step explanation:
The correct justification for the first step in solving the provided equation is that the first step should be distributive Property
<h3>What is the property of equality?</h3>
Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.
The equation given in the problem is,

To solve the above equation, we need to open the brackets of the equation. To do this, we need to use the distributive property of the equality.
This can be done by multiplying the number 3 inside the bracket (x-4). This operation simplify the equation, to solve it further. Therefore,

Hence, the correct justification for the first step in solving the provided equation is that the first step should be distributive Property.
Learn more about the property of equality here;
brainly.com/question/1601404