3÷8+1÷8-(9÷8+5÷8)
=3÷8+1÷8-(14÷8)
=3÷8+1÷8-14÷8
=(3+1-14)÷8
=-10÷8
=-5÷4
=-1.25
Answer: d. There is no relationship between education level and smoking habits.
Step-by-step explanation:
The null hypothesis is the affirmation that two parameters or phenomena do not have a relation between them.
Here the parameters are smoking and having a bachelor's degree or higher education.
Then the null hypothesis says that those two things do not have any relation, this would imply that the probability of being a smoker does not depend on having a degree or not.
Then the correct option is d "There is no relationship between education level and smoking habits."
12x + 4 ➗ 4 + 20x + 5 ➗ 5
1. PEMDAS (order of operations) solve the division problems
(4 divided by 4 & 5 divided by 5)
12x + 1 + 20x + 1
2. Swap around the order of operations as commutative property states that you can swap the order of an addition problem and get the same answer.
12x + 20x + 1 + 1
3. Add like terms
32x + 2
This is the most simplified answer you could get as you can not add 32x and 2 as they are not like terms.
Answer:
Step-by-step explanation:
Question says that it uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides. Putting this into equation, we have something like this.
120 = L + 2W
Where
LW = area.
Again, in order to maximize the area with the given fencing, from the equation written above, then Width, w must be = 30 feet and length, l must be = 60
On substituting, we have
A = LW = (120 - 2W) W
From the first equation, making L the subject of the formula, we have this
L = 120 - 2W, which then we substituted above.
On simplification, we have
L = 120W -2W²
Differentiating, we have
A' = 120 - 4W = 0
Remember that W = 30
So therefore, L = 120 - 2(30) = 60 feet
