Answer:
The equation is;
4y = 7x + 2
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
m = (y2-y1)/(x2-x1)
(x1,y1) = (2,3)
(x2,y2) = (-2,-4)
m = (-4-3)/(-2-2) = -7/-4 = 7/4
So we have the equation as;
y = 7x/4 + b
To
get the value of b, we will substitute any of the points (let us use 2,3)
We simply substitute 2 for x and 3 for y
We have this as:
3= 7(2)/4 + b
3 = 7/2 + b
b = 3-7/2 = -1/2
So we have the equation as;
y = 7x/4 + 1/2
multiply through by 4
4y = 7x + 2
Y=-4/2x-3 that should be a correct answer
Y= - X/2 = 2 this is the answer
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%
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.