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:
The interest rate is 20%.
Step-by-step explanation:
In order to calculate the interest rate, we need to compute how many percents the value he recieves is related to the total he invested. In this case he recieves 40 every year and he invested 200, to calculate that we will apply a rule of three. We have:
$200 -> 100%
$40 -> x%
200/40 = 100/x
200*x = 40*100
200*x = 4000
x = 4000/200 = 20
The interest rate is 20%.
Answer:
<h2>B. On average, how many plants do the students in your class have at home?</h2>
Step-by-step explanation:
A statistical question must have the characteristic of variability, that is, it must be a question that can be answered by a collective, where each person has a slaightly or big different answer, because all of them are different, that's the variability ingredient.
Among the options, you can notice that only B has this characteristic, it's the only statistical question. In other words, question A and C are questions about one person, they don't have variability.
10 (x/2 +6)=8
10x/2 +60=8
Subtract 60 from both sides
10x/2+60-60=8-60
10x/2= -52
Multiply both sides by 2
(10x/2)*2= -52*2
10x= -104
Divide both sides by 10
10x/10=-104/10
Answer: x= -10.4
