Answer:
54.80 MPa to 55.92 MPa
Step-by-step explanation:
Sample mean fracture strength (x) = 55.36 MPa
Sample standard deviation (s) = 3.99 MPa
Sample size (n) = 196.
The upper and lower bounds for a 95% confidence interval are given by:

The upper and lower bounds of the confidence interval are;

The 95% confidence interval for true average fracture strength is 54.80 MPa to 55.92 MPa
It’s: -31
when you are simplify this expression you get -31
From the trigonometry:
tan θ = (sin θ) / (cos θ)
cot θ = (cos θ) / (sin θ)
∴ tan θ + cot θ = (sin θ) / (cos θ) + (cos θ) / (sin θ)
= [ sin² θ + cos² θ]/( sin θ cos θ) = 1 /( sin θ cos θ )
note : sin² θ + cos² θ = 1
Answer: (4,3)
Step-by-step explanation:
1. In this method you must solve one of the equation for one of the variables and substitute it into the other equation to find the other variable. Then, substitute the value of that variable into one of the original equation to obtain the value of the other one.
2 You have that:

3. Then, you can substitute it into the other equation and solve for x:

4. Now you can obtain y:


5. The answer is:
(4,3)
Answer:
2,000,000
Step-by-step explanation: