Answer: 86.64%
Step-by-step explanation:
Let x be a random variable that represents the diameter of metal samples.
Given : Population mean : 
Standard deviation: 
Specified tolerance on the diameter is 0.75 mm.
i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75
Formula to find the z-score corresponds to x: 
At x= 0.75, 
Using standard normal table for z-value,
P-value : 
∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%
Answer:
.79 mm^2
Step-by-step explanation:
First find the area of the circle
A = pi r^2
A = 3.14 (1) ^2
A = 3.14
Now we have 1/4 of the circle
The area is 1/4 of the full area
1/4 *3.14
.785
Rounding to the nearest hundredth
.79 mm^2
X = 90-22
x = 68
..............
We have been that frequency (y) varies inversely with wavelength (x).
We know that two inversely proportional quantities are in form 
, where a is inversely proportional to b and k is constant of variation.
Our required equation would be 
.
To find frequency of blue light, we will substitute 
and 
in our equation as:
Therefore, the frequency of blue light is 764.
Answer:
All Real Number greater than 0 or
(0, positive infinity)
Step-by-step explanation:
The range is all possible y values of a function. We can tell a range by looking at the lowest y vaule then going to the highest possible y value.
Look at the graph. There is a open circle at y=0. So this means we are not going to include 0 in our function. The graph approaches f(x) to positive Infinity so our highest y value is Infinity.
So we know that the function y values cannot be zero and it must be positive. So our range is
All Real Number greater than 0. Or
(0, positive infinity)
