Answer:
r equals StartFraction C Over 2 pi EndFraction
Step-by-step explanation:
we know that
The circumference of a circle is equal to

where
r is the radius of the circle
Solve for r
That means -----> isolate the variable r
Divide by 2π both sides

Simplify right side

Rewrite

so
r equals StartFraction C Over 2 pi EndFraction
Step-by-step explanation:
-2j < -14
Divide both sides by -2:
j > 7. (D)
Answer:
(0.6430, 0.8170)
Step-by-step explanation:
Given that during a recent drought a water utility in a certain town sampled 100 residential water bills and found out that 73 of the residences had reduced their water consumption over that of the previous year.
Sample size n = 100
Sample proportion p = 
q = 1-p = 0.23
Std error of proportion = 
95% Z critical value = 1.96
Margin of error = 
Confidence interval = sample proportion ±margin of error
0.642983946
0.817016054
(0.6430, 0.8170)
Answer:
The first equation answer is 10
And the second one 6
Step-by-step explanation:
The first equation
2/5 x +3= 2/3x +1/3
2x + 15/5 = 6x+3/9 the cress cross
9(2x + 15) = 5(6x + 3)
18x + 135 = 30x +15
135-15 = 30x - 18x
120 = 12x
120/12 =12x/12
10 = x
X =10
The second one
-2.6b +4 =0.9b - 17
-2.6b - 0.9b = - 17 - 4
-2.6b + (-0.9b) = - 17 + (-4)
-3.5b = - 21
-3.5b/-3.5 = - 21 /-3.5
B= 6
6/12 in decimal form is .5 because 12/6