Answer:
13 True
14 Sometimes
15 Never
Step-by-step explanation:
All equilateral triangles must have 60 degree angles
Sometimes a acute triangle can have 2 acute angles
Obtuse angles take up majority of the mesuares in the triangle. All triangles must have 3 angles equal up to 180 degrees
Let the number of reserved tickets = x
Let the number of lawn seats = y
Constraint functions:
Maximum capacity means 
For concert to be held 
means 
Objective functions :
Maximum profit equation p = 65x +40y
Intersection points :
(10000,10000) (20000,0)(2500,2500)(5000,0)
p at (10000,10000) = 65(10000) + 40(10000) = $1050000
p at (20000,0) = 65(20000) + 40(0) = $1300000
p at (2500,2500) = 65(2500) + 40(2500) = $262500
p at (5000,0) = 65(5000) + 40(0) = $325000
Hence maximum profit occurs when all 20000 reserved seats are sold and the profit is $1300000
Please find attached the graph of it.
Find the average value:
40 minutes + 50 minutes = 90 minutes
90 minutes/2 = 45 minutes
Together it will take them 45 minutes to clean the house
Answer :
Yes, the experiment is a binomial experiment because it satisfies all the four characteristics of the binomial experiment :
1. Fixed number of trials
2. Exactly two outcomes
3. Outcomes are independent of each other
4. Probability of all the outcomes remains constant from trial to trial.
Success in the given experiment is that the baby recovers fully.
Hospital is caring for 6 babies , n = 6
p = 0.20 ( Success )
q = 1 - 0.20 = 0.80 ( Not a success )
Value of random variable x is the number of babies which are recovering fully, x = 0, 1, 2, 3, 4, 5 or 6
To find the value of 
, we need to isolate it on one side of the equation. Add 
to both sides of the equation, then multiply both sides of the equation by 
.
