Answer:
2.33 yards
Step-by-step explanation:
3 1/2-3.5
2/3-0.66
0.66 x 3.5 = n
Answer:
the missing length would be 35 mm bc both of them are the same length
Step-by-step explanation: hope this helped
Answer:
x = 8,49 ft
y = 4,24 ft
Step-by-step explanation:
Let x be the longer side of rectangle and y the shorter
Area of rectangle = 36 ft² 36 = x* y ⇒ y =36/x
Perimeter of rectangle:
P = 2x + 2y for convinience we will write it as P = ( 2x + y ) + y
C(x,y) = 1 * ( 2x + y ) + 3* y
The cost equation as function of x is:
C(x) = 2x + 36/x + 108/x
C(x) = 2x + 144/x
Taking derivatives on both sides of the equation
C´(x) = 2 - 144/x²
C´(x) = 0 2 - 144/x² = 0 ⇒ 2x² -144 = 0 ⇒ x² = 72
x = 8,49 ft y = 36/8.49 y = 4,24 ft
How can we be sure that value will give us a minimun
We get second derivative
C´(x) = 2 - 144/x² ⇒C´´(x) = 2x (144)/ x⁴
so C´´(x) > 0
condition for a minimum
The interpretation is that we are 95% confident that the true population proportion p is somewhere between 0.58 and 0.64
The population proportion p in this case refers to the proportion of people who feel that race relations in this country are generally bad.
Something like 0.58 converts to 58% when you move the decimal point 2 spots to the right.
