Answer:
Third option. 
Step-by-step explanation:
For this exercise you need to remember one of the properties for exponents.
There is a property called the "Negative property of exponents" which states the following:
Where 
As you can observe, 
is the reciprocal of 
In this case you have the following expression given in the exercise:
Observe the expression. As you can notice, the base "n" has a negative exponent, which is -6.
Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.
Then, the simplified form of 
is the one shown below:
Answer:
33.3%
Step-by-step explanation:
Let's say the percent change is x%. Then the equation is:
30 + x% * 30 = 40
Subtract 30 from both sides:
x% * 30 = 10
Divide by 30:
x% = 10/30 = 1/3
Remember that % simply means "out of 100", so:
x/100 = 1/3
Multiply both sides by 100:
x = (1/3) * 100 = 33.3%
Answer:
The percentage of customers who buy an extended warranty is 33%.
Step-by-step explanation:
In this problem, we have these following percentages.
35% of the customers select the basic camera.
This also means that:
65% of the customers select the deluxe version. (Since you can buy only two versions of the hard disk camera and the sum of the percentages is 100%).
20% of those who select the basic camera also purchase the extended warranty.
40% of those who select the deluxe version also purchase the extended warranty.
What is the percentage of customers who buy an extened warranty?
is the percentage of those who buy the basic version with the extended warranty. So it is 20% of 35%. So
is the percentage of those who buy the deluxe version with the extended warranty. So it is 40% of 65%. So
The percentage of customers who buy an extended warranty is 33%.
(15,1) (14,6)
6-1 5
—— = —
14-15 -1
4. Yes, line L is parallel to M because they do not intersect, the angles do not matter.
5.
A. 2 and 3 would be Alt. Int. Angles.
B. 2 and 4 are congruent angles.
