Answer:
200.96 inches^2
Step-by-step explanation:
Area= pi*radius ^2=pi*8^2=64*pi=64*3.14=200.96 inches^2
Answer:
95% confidence level should be used for a confidence interval.
The given confidence interval contains the value of 85 sec, so there is not sufficient evidence to support the claim that the mean is greater than 85 sec.
Step-by-step explanation:
0.05 significance level
1 - 0.05 = 0.95
0.95*100% = 95%
This means that a 95% confidence level should be used for a confidence interval.
Confidence interval is found to be −1.8 sec<μ<213.5 sec, what should we conclude about the claim?
Contains the value of 85 sec, thus there is not sufficient evidence to support the claim that the mean is greater than 85 sec.
Answer: 79.02
Step-by-step explanation:
set present value to 0
set future value to 300000
set number of time periods to 35 * 12 = 420
set interest rate percent per time period to 10/12 = 0.833333.
Equation:
See attachment
We know that the summation of angles of a triangle is 180°. Then we can measure angles of B and C by,
m∠A + m∠B + m∠C=180°
65° + (3x−10)° + (2x)°=180°
Solve for variable x by transposing and combing same terms,
5x=180°- 65°+ 10°
x=125/5, x=25
Since we already know the value of x, we can proceed in solving B and C
<span>B=(3x−10)°=3(25)-10=65
C=2x=2(25)=50
</span>Therefore, the answers are x=25, B=65 and C=50.
Answer:
---- critical point
local minima
Step-by-step explanation:
Given
Required
Determine the critical point
Differentiate w.r.t x
Differentiate w.r.t y
Equate both to 0
Divide by 2
----- in both equations
Hence:
The critical point is:
Solving (b):
We have:
This is represented as:
Calculate the determinant
The critical point is at local minima