Answer:
Lenght: 34.51 mm
Area: 1035.33 mm^2
Step-by-step explanation:
let x be the unknown sidelength
tan(41) = 30/x
x = 34.51
multiply by 30 to get area
Answer:
1/2y+3/2
2y+-1/2
-3/2b-2x+5
Step-by-step explanation:
The first step to getting this in vertex form would be to put this in proper standard form. This is so that you can split the middle term which is a step of completing the square.
Answer:
(0.0757;0.1403)
Step-by-step explanation:
1) Data given and notation
Republicans =115
Democrats=331
Independents=54
Total= n= 115+331+54=500

Confidence=0.98=98%
2) Formula to use
The population proportion have the following distribution

The confidence interval for the population proportion is given by this formula

We have the proportion of independents calculated

We can calculate 
And we can find
, with this value we can find the critical value
using the normal distribution table, excel or a calculator.
On this case 
3) Calculating the interval
And now we can calculate the interval:


So the 98% confidence interval for this case would be:
(0.0757;0.1403)
X< -2, means all numbers less than -2,
-3,-4,-5 and so on
Correct answer is -3