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:
The length of v is 6 inches
Step-by-step explanation:
Here, we want to calculate the length of v to the nearest inch
The best way to go about this is to use the sine rule
But before we proceed, we need the measure of angle V
Mathematically, since we have a triangle
W + U + V = 180
This is the sum of angles in a triangle
56 + 117 + V = 180
V = 180-56-117
V = 7 degrees
so we proceed to use sine rule to get the length of v
Mathematically;
v/Sin V = u/Sin U
Thus;
v/sin 7 = 44/sin 117
v = 44sin 7/sin 117
v = 6.018
This is approximately 6 inches
It would seem that r correlates to line AC. So another name could be Line AC. Remember to put a line above the two letters to let people know it is a line. I hope this helps! =)
Answer:
x = 1, y = 4
Step-by-step explanation:
This is very simple
Since you have 2 equations with the same coefficient of x, just minus one equation from another:
x + 3y = 13
-
x + 2y = 9
1y = 4
Sub y = 4 into any of the 2 equation,
x + 3(4) = 13
x + 12 = 13
x = 13 - 12
= 1
Answer:
As a fraction it must be 1/3
