Answer:
AE = 4
Step-by-step explanation:
Use the formula
AE*EC = DE*EB
Since we don't know AE or EC, let AE = x and then EC will = 16 - x. The formula then becomes
x(16 - x) = 8(6)
Getting everything on one side and setting it equal to 0 will allow us to factor for x:
Factoring that gives you that
x = 4 and x = 12. That means that one of those sements has a length of 4 and the other has a length of 12. AE is shorter so it's 4 and EC = 12
Answer:
a. $27
b. $9
Step-by-step explanation:
The yearly premium on their homeowner's insurance policy is $450 for the coverage they need.
Their insurance company offers a discount of 6 percent if they install dead-bolt locks on all exterior doors.The couple can also receive a discount of 2 percent if they install smoke detectors on each floor.
a. What discount will Dave and Ellen receive if they install the dead-bolt locks?
dollars
b. What discount will Dave and Ellen receive if they install smoke detectors?
dollars
The weighted average of a data set is 36.
Here,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
We have to find the weighted average of a data set.
What is Weighted Average?
Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.
Now,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
The weighted average is given by the formula;
Hence,
The weighted average of a data set;
Hence, The weighted average of a data set is 36.
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