Answer:
16/5 or 3 1/5
Step-by-step explanation:
Your equation would be 4/5*4 which equals 16/5
-9 to 0 is 9 and 0 to 14 is 14.
Total distance = 9 +14 = 23
Answer:
hello your question is incomplete attached below is the complete question
answer :
H0 : <em> u </em>= 21.62 ( Null hypothesis )
H1 : <em> u</em> = 21.62 ( alternative hypothesis )
Step-by-step explanation:
Formulating hypothesis that can be used to determine whether the population mean rate at 5 CCF of residential water discharged by U.S public utilities differs from $21.62
H0 : <em> u </em>= 21.62 ( Null hypothesis )
H1 : <em> u</em> = 21.62 ( alternative hypothesis )
Answer:
Dimensions of printed area
w = 8.95 cm
h = 13.44 cm
A(max) = 120.28 cm²
Step-by-step explanation:
Lets call " x " and "y" dimensions of the poster area ( wide and height respectively) . Then
A(t) = 180 cm² = x*y y = 180/ x
And the dimensions of printed area is
A(p) = ( x - 2 ) * ( y - 3 ) then as y = 180/x we make A function of x only so
A(x) = ( x - 2 ) * ( 180/x - 3 ) ⇒ A(x) = 180 - 3x - 360/x +6
A(x) = - 3x - 360 /x + 186
Taking derivatives on both sides of the equation we get:
A´(x) = -3 + 360/ x²
A´(x) = 0 -3 + 360/ x² = 0 -3x² + 360 = 0
x² = 120 ⇒ x = √120 x = 10.95 cm
And y = 180 / 10.95 ⇒ y = 16.44 cm
Then x and y are the dimensions of the poster then according to problem statement
w of printed area is x - 2 = 10.95 - 2 = 8.95 cm
and h of printed area is y - 3 = 16.44 - 3 = 13.44 cm
And the largest printed area is w * h = ( 8.95)*(13.44)
A(max) = 120.28 cm²
Because there is no whole number that you can divide into both the numerator and the denominator to get a proper fraction.
