Answer:
2nd option
Step-by-step explanation:
the recursive rule is
=
+ d ( d is the common difference )
use the explicit rule to find a₁ and d
a₁ = 48 - 11(1) = 48 - 11 = 37
a₂ = 48 - 11(2) = 48 - 22 = 26
then
d = a₂ - a₁ = 26 - 37 = - 11
recursive rule is then
=
- 11
a₁ = 37
if you isolate y in the top equation to get y=5x+6 then you can substiture y for 5x+6 in the bottom equation because thats what y equals
as of now you have -3x+6(5x+6)=-12 but if you use the distrubite property you would get -3x+30x+36=-12
then if you subtract 36 from both sides you would get -3x+30x=-48 then combine like terms to get 27x=-48 then divide both sides by 27 to get or x≈1.8
Answer:
There is a 75.65% probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week.
Step-by-step explanation:
For each teenager, there are only two possible outcomes. Either they watched a rented video at least once during a week, or they did not. This means that we can solve this problem using the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
The probability that a randomly selected teenager watched a rented video at least once during a week was 0.75. This means that .
What is the probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week?
Group of 7, so .
.
In which
So
.
There is a 75.65% probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week.