Answer:
Step-by-step explanation:
<u>Given Second-Order Homogenous Differential Equation</u>
<u>Use Auxiliary Equation</u>
<u />
<u>General Solution</u>
<u />
Note that the DE has two distinct complex solutions 
where 
and 
are arbitrary constants.
Answer:
8
Step-by-step explanation:
Length = 2x-4
Width = x+1
Let x=3 and find the length and width
Length = 2*3-4 = 6-4 =2
Width = x+1= 3+1 =4
The area is given by
A = l*w = 2*4 = 8
Answer:
p= 0.9995 and we can conclude that students receiving aid is more than 50% according to the sample results in 2% significance level.
Step-by-step explanation:
: less than or equal 50% of students at his college receive financial aid
: more than 50% of students receive financial aid.
According to the nul hypothesis we assume a normal distribution with proportion 50%.
z-score of sample proportion can be calculated using the formula:
z=
where
- X is the sample proportion (0.65)
- M is the null hypothesis proportion (0.5)
- s is the standard deviation of the sample (
) - N is the sample size (120)
then z=
≈ 3,29
thus p= 0.9995 and since p<0.02 (2%), we reject the null hypothesis.
0.4286 would be the decimal
Answer:
d. V = π(x^3 + 90x^2 + 2,400x + 20,000)
Step-by-step explanation:
volume of cylinder = πr^2h
We have r = x + 20; h = x + 50
V = π(x + 20)^2(x + 50)
V = π(x^2 + 40x + 400)(x + 50)
V = π(x^3 + 50x^2 + 40x^2 + 2000x + 400x + 20,000)
V = π(x^3 + 90x^2 + 2,400x + 20,000)
