Answer:
a = 7 and c = 12
Step-by-step explanation:
Set up 2 equations and use substitution:
4a + 2c = 52
12a + 4c = 132
In the first equation, c = 26 - 2a
We can plug that into the second equation to solve for a.
12a + 4(26 - 2a) = 132
a = 7
Plug a back in to either original equation to solve for c:
4(7) + 2c = 52
c = 12
Answer:
y = 1x - 1
Step-by-step explanation:
y = mx + b
m is slope
slope = change in y / change in x = (3 - 2) / (4 - 3) = 1/1 = 1
m = 1 so equation is now y = 1x + b
To find b, substitute any value from the table. Let's use (3,2)
y = 1x + b
2 = 1(3) + b
2 = 3 + b
-1 = b
So equation is y = 1x - 1
Put n=2 ,
f(2+1) = f(2) => f(3) = f(2) = 9
now, put n=1,
f(1+1) = f(1) => f(2) = f(1) = 9
Answer:
(0.1753 ; 0.2447)
Step-by-step explanation:
Using the relation :
Confidence interval :
p ± margin of error
p = 0.21
1 - p = 0.79
n = 530
Zcritical at 95% confidence level = 1.96
Margin of Error : Zcritical * sqrt[(p(1-p))/n]
1.96 * sqrt[(0.21(0.79))/530]
1.96 * 0.0176923 = 0.0346769
Margin of Error = 0.0346769
Lower boundary = 0.21 - 0.0347 = 0.1753
Upper boundary = 0.21 + 0.0347 = 0.2447
Confidence interval :
(0.1753 ; 0.2447)