Answer:
k = -18
Step-by-step explanation:
If x-3 is a factor, what this means is that if we substitute;
x = 3 into the equation, we should get 0
This is from the factor theorem
Thus ;
P(3) = 0 = 2(3)^3 -5(3)^2 + 3(3) + k
0 = 54 - 45 + 9 + k
k + 18 = 0
k = -18
The answer is 55. The angle is 90 degrees. Then, 35 must be subtracted. 55 is the result
Divide the number of homes by the sample size:
500 out of 1200 houses = 0.4166
Now find the sample proportion:
p(1-p)/n = 0.4166((1-0.4166)/1200)= 0.0002
Take the square root: √0.0002 = 0.014
Multiply that by the Z value for 95% which is 1.96:
1.96 x 0.014 = 0.028 x 100 = 2.8%
The confidence interval is the percentage of homes from above ( 0.4166 plus and minus the sample proportion:
0.4166 - 0.028 = 0.3886
0.4166 + 0.028 = 0.4446
[0.3888, 0.4446]
You can write it without exponent
3x*3x or 9x*x
2 5 dollar bills
10 10 dollar bills
ammount of 5 dollar bills= x
amount of 10 dollar bills = y
5x=y
x+y=12
x+5x=12
6x=12
x=2
12-x=y
12-2=y
10=y