Triangle ABE is similar to triangle CED (AAA)
10/8 = (2x+6) / (x+6)
x=2
therefore AE = 2(2) + 6
= 10 units
Answer:
a) The total gross sales over the next 2 weeks exceeds $5000 is 0.0321.
b) The weekly sales exceed $2000 in at least 2 of the next 3 weeks is 0.9033.
Step-by-step explanation:
Given : The gross weekly sales at a certain restaurant are a normal random variable with mean $2200 and standard deviation $230.
To find : What is the probability that
(a) the total gross sales over the next 2 weeks exceeds $5000;
(b) weekly sales exceed $2000 in at least 2 of the next 3 weeks? What independence assumptions have you made?
Solution :
Let
and
denote the sales during week 1 and 2 respectively.
a) Let
Assuming that
and
follows same distribution with same mean and deviation.




So, 





The total gross sales over the next 2 weeks exceeds $5000 is 0.0321.
b) The probability that sales exceed teh 2000 and amount in at least 2 and 3 next week.
We use binomial distribution with n=3.





Let Y be the number of weeks in which sales exceed 2000.
Now, 
So, 



The weekly sales exceed $2000 in at least 2 of the next 3 weeks is 0.9033.
Answer:
5.5
Step-by-step explanation:
So, this is a simple factoring problem. The answer is 5.5(2x-1). So, heres how we get that answer.
So, factoring is basically breaking down the problem into smaller parts. So once we simplify the problem, we can factor it.
- Simplify by combining like terms: 5x+6x= 11x and -2.5-3=-5.5
- Now we have 11-5.5=?
- so, we need to have (2x-1) in our answer because the problem asks for that in the answer.
- We need to find a number that satisfies the equation and answer
- so, 5.5(2x) is 11x, and 5.5(-1) is 5.5.
- 5.5 satisfies the equation, therefore is the answer