Answer:
CAB = 54
ABC = 21
ACB = 105
DCB = 75
Step-by-step explanation:
18x - 15 = (13x - 11) + (4x + 1)
18x - 15 = 17x - 10
x = 5
CAB = 13x - 11 = 13(5) - 11 = 65 - 11 = 54
ABC = 4x + 1 = 4(5) + 1 = 20 + 1 = 21
ACB = 180 - (CAB + ABC) = 180 - (54 + 21) = 180 - 75 = 105
DCB = 180 - ACB = 180 - 105 = 75
Answer: In observational study observer has no control on the variables but in an experiment experimenter has control over the independent variable to record the change on the dependent variable.
Step-by-step explanation:
In statistics , an observational study is a study in which a researcher just observe effects on subjects in a certain manner without interfering them.
On the other hand an experiment is a process which is done by experimenter to demonstrate a known fact or create a discovery by applying some methods to the variables .
The basic difference between an observational study and an experiment is<em> in observational study observer has no control on the variables but in an experiment experimenter has control over the independent variable to record the change on the dependent variable.</em>
Answer:
$34.20
Step-by-step explanation:
First, find the cost with tax
You are paying 7.2% tax, but you are also paying for 100% of the bill
100%+7.2%=107.2%
So, you are really paying for 107.2% of the bill
Convert 107.2% to a decimal by dividing by 100 or moving the decimal 2 spaces to the right
107.2/100=1.072
Multiply the decimal by the cost of the bill
1.072*45.90=49.2048
But, we also have a coupon for $15 off
Subtract 15 from the cost with tax
49.2048-15=34.2048
Round to the nearest cent/hundreth
$34.20
Hope this helps! :)
You are correct. The higher the standard deviation is, the more spread out the data set will be. Nice work.
Use this formula...
(-4 + 8) / 2 , (8 + (-4)) / 2
From there you get...
4 / 2 , 4 / 2
Simplify and you get
(2 , 2)