Answer:
2x+57°+x=180 ( angle sum property of triangle)
3x=123
x=41
Answer: 0.8490
Step-by-step explanation:
Given : The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches.
i.e. and
Let x denotes the lengths of aluminum-coated steel sheets.
Required Formula :
For n= 36 , the probability that the average length of a sheet is between 29.82 and 30.27 inches long will be :-
∴ Required probability = 0.8490
Answer:
k = (3 x^2 - 3 x + 1)/(2 x^2 - 2 x)
Step-by-step explanation:
Solve for k:
1 + x (2 k - 3) + x^2 (3 - 2 k) = 0
Expand and collect in terms of k:
1 - 3 x + 3 x^2 + k (2 x - 2 x^2) = 0
Multiply both sides by -1:
-1 + 3 x - 3 x^2 + k (2 x^2 - 2 x) = 0
Subtract -3 x^2 + 3 x - 1 from both sides:
k (2 x^2 - 2 x) = 3 x^2 - 3 x + 1
Divide both sides by 2 x^2 - 2 x:
Answer: k = (3 x^2 - 3 x + 1)/(2 x^2 - 2 x)