Answer:
<u>A) Matched pairs design</u>
<u>Step-by-step explanation:</u>
In<em> </em><em>experimental design</em>, the match pairs experimental design is one that often involves only two treatment conditions; which in this case are the 'refrigerated and the room temperature battery storage types'.
Thus, these two treatment conditions form a matched pair because we are told that 10 fully charged batteries are placed into each type of storage.
It goes in evenly 2 times
Answer:
(a) There are outliers
(b)
and 
Step-by-step explanation:
Given







Solving (a): Check for outliers
This is calculated using:
--- lower bound of outlier
--- upper bound of outlier
Where

So, we have:


The lower bound of outlier becomes




The upper bound of outlier becomes




So, we have:
--- the range without outlier
Given that:
--- This represents the lowest data
--- This represents the highest data
-24 and 64 are out of range of
.
Hence, there are outliers
Solving (b): The outliers
The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)
So, the outliers are:
and 
Answer: x = -1
Step-by-step explanation:
Starting:
x-5(x+1)=3x+2
Simplify the left side:
-4x-5=3x+2
Move all the terms with an x to the left:
-7x-5=2
Move all the terms without an x to the right:
-7x=7
Divide both sides by -7:
x = -1
7x+8x+44.4=180
15x=44.4=180
15x=135.6
x=9.04°
so 8x=72.32° and the 7x is 63.28°