Answer:
Data Set 1: 20
Data Set 2: 25
Step-by-step explanation:
Range = maximum value - minimum value
Range of Data Set 1:
Maximum value of data set 1 = 40
Minimum value of data set 1 = 20
Range of Data Set 1 = 40 - 20 = 20
Range of Data Set 2:
Maximum value of data set 2 = 60
Minimum value of data set 2 = 35
Range of Data Set 2 = 60 - 35 = 25
V=(4/3)(pi)(r^3)
V=(4/3)(pi)(8^3)
V=(4/3)(pi)(512)
V=(2048/3)(pi), or around 2144.660585
Answer:
Step-by-step explanation:
<em>(1).</em>
x + y = 9 and y = - 7x <em>( Neither )</em> ; lines intersect.
<em>(2).</em> y = 3x - 3; 12x - 4y = 12 <em>( Neither ) </em>; Lines are overlapped or both equation are of the same line.
<em>(3).</em> 7y = 2x + 1; 14x + 4y = 12 <em>( Perpendicular )</em> ;
=
and
= -
, slopes are opposite reciprocals.
<em>(4).</em> x - 4y = 18; y = x + 4 <em>( Neither )</em> ; lines intersect.
<em>(5).</em> 3x - 4y = - 1; 3y = - 4x + 5 <em>( Perpendicular )</em> ;
=
and
= -
, slopes are opposite reciprocals.
Answer:
Step-by-step explanation:
Given that in order to efficiently bid on a contract, a contractor wants to be 95% confident that his error is less than two hours in estimating the average time it takes to install tile flooring.
Std deviation =4.5 errors
95% confidence interval = Mean±1.96*std dev
Hence we have

Sample size should be 20.
First distribute the invisible 1 to the numbers in the parenthesis.
3x + 2 - 4x
Combine like terms.
-x + 2