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:
w=-8
Step-by-step explanation:
1. add 6 to -10 (-4)
2. multilpy by 2 (-8)
Cost of Lightbulb = x
cost of switch is x-8
9x + 4(x-8) = 520.50
Use distributive property:
9x + 4x -32 = 520.50
Simplify:
13x -32 = 520.50
Add 32 to both sides:
13x = 552.50
Divide both sides by 13
X = 42.50
A lightbulb costs $42.50
A switch costs 42.50-8 = $34.50
For the first one its (-4,0) and (3,0)
For the second one its (3,5) , (3,0) and (6,0)
Two figures<span> that have the same shape are said to be </span>similar<span>. When two </span>figures<span> are </span>similar<span>, the ratios of the lengths of their corresponding sides are equal. We calculate as follows:
3.9 / 1.3 = 9.6 / b
b = 9.6 x 1.3 / 3.9
b = 3.2</span>