Hello there!
The question asks if the events are independent or dependent.
Well, let's establish what an independent and dependent event is.
An independent event is an occurrence in which two or more events do not have effect on each other, regardless what happens during each scenario.
An independent event would be (for example) "I flipped a coin and rolled a dice." Both of these are independent events, as they do not have any effect on eachother.
A dependent event is an occurrence in which two or more events have effects on eachother. For example "I pull a red card out of a deck of cards. I then pull a black card out of the same deck."
The question you have is:
LeRon draws an orange counter from one bag and a red counter from another bag. Are the events dependent or independent?
Since that LeRon draws two different counters from two separate bags, the events do not effect each other, thus making the events independent.
I hope this helps!
We can model this situation with an arithmetic series.
we have to find the number of all the seats, so we need to sum up the number of seats in all of the 22 rows.
1st row: 23
2nd row: 27
3rd row: 31
Notice how we are adding 4 each time.
So we have an arithmetic series with a first term of 23 and a common difference of 4.
We need to find the total number of seats. To do this, we use the formula for the sum of an arithmetic series (first n terms):
Sₙ = (n/2)(t₁ + tₙ)
where n is the term numbers, t₁ is the first term, tₙ is the nth term
We want to sum up to 22 terms, so we need to find the 22nd term
Formula for general term of an arithmetic sequence:
tₙ = t₁ + (n-1)d,
where t1 is the first term, n is the term number, d is the common difference. Since first term is 23 and common difference is 4, the general term for this situation is
tₙ = 23 + (n-1)(4)
The 22nd term, which is the 22nd row, is
t₂₂ = 23 + (22-1)(4) = 107
There are 107 seats in the 22nd row.
So we use the sum formula to find the total number of seats:
S₂₂ = (22/2)(23 + 107) = 1430 seats
Total of 1430 seats.
If all the seats are taken, then the total sale profit is
1430 * $29.99 = $42885.70
Answer:
Infinite number of solutions.
Step-by-step explanation:
y = -7x - 2
y + 3 = -7x + 1
Subtract 3 from both sides:
y = -7x - 2
- this is the same as the first equation.
We can put any number of valid combinations of x and y into this equation.
So there are infinite solutions.
Answer:
.20
Step-by-step explanation:
