• We are told that the average height : Mean () = 65
,
• Standard deviation : SD () = 2.2
• 95 % 0f women height range = +- 3
= 65 +-3( 2.2)
= {65 + 6.6 ; 65 -6.6}
= {71.6 ; 58.4}
• This means that 95 % 0f women height will range between ( 58.4 ) and (71.6 )
(13 + x)/(50 - x ) = (2/1)
Cross Multiply
2(50-x) = 1(13 + x)
100 - 2x = 13 + x
add 2x to both sides
100 -2x + 2x = 13 + x + 2x
100 = 13 + 3x
Subtract 13 from both sides
100 - 13 = 13 - 13 + 3x
87 = 3x
divide both sides by 3
29 = x
(13 + 29)/(50-29) = 42/21 = 2 to 1 ratio
Answer: The non solutions of the inequality are A and D.
Step-by-step explanation:
S = 9C
first sentence written as an expression
Where S represents the angles supplement
and C represents the angles complement
A + S = 180
definition of supplementary allows me to make this statement Where A is the original angle
A + C = 90
definition of complimentary allows this statement
now add the prior 2 statements together
A + S + A + C = 180 + 90
now simplify
2A + S + C = 270
now replace S with 9C using first statement
2A + 9C + C = 270
now simplify
2A + 10C = 270
now divide both sides by 2
A + 5C = 135
now using the second statement isolate A by adding C to both sides
A = 90 - C
now combine the two prior statements
90 - C + 5C = 135
now simplify
90 + 4C = 135
now subtract 90 from both sides
4C = 45
now divide both sides by 4
C = 11.25
so the complimentary angle is 11.25
now take the third equation and substitute in C
A + 11.25 = 90
now subtract 11.25 from both sides
A = 78.75
so the original angle is 78.75
now use the second equation and substitute in A
78.75 + S = 180
now subtract 78.75 from both sides
S = 101.25
so the suplimentary angle is 101.25
<span>x in (-oo:+oo)
((5-9*x)^1)/2 = ((4*x+3)^1)/2 // - ((4*x+3)^1)/2
((5-9*x)^1)/2-(((4*x+3)^1)/2) = 0
(5-9*x)/2-((4*x+3)/2) = 0
(5-9*x)/2+(-1*(4*x+3))/2 = 0
5-1*(4*x+3)-9*x = 0
2-13*x = 0
(2-13*x)/2 = 0
(2-13*x)/2 = 0 // * 2
2-13*x = 0
2-13*x = 0 // - 2
-13*x = -2 // : -13
x = -2/(-13)
x = 2/13
x = 2/13</span>
