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
Recall the double angle identity:

With
measuring between 0º and 90º, we know
. So from the Pythagorean identity, we get

Then

Answer:
20
Step-by-step explanation:
Answer: 14,920 kids
Step-by-step explanation:
15,000-(16×5)=x
15,000-80=x
14,920=x
The two inequalities are :
option B and option C
Explanation:
Daniel moves no more than 30 of his sheep and goats into another field. This means the summation of sheep and goats will be at maximum 30.
that is why it is 
And more than 7 of his animals are sheep means sheep are greater than 7. that is why = 