To build a component, workers must fit a rod into the hole of a metal ring. the dimensions of the parts can vary a bit due to manufacturing variability. the diameter of the hole follows a normal distribution with a mean of 12 inches and a variance of 0.0484 inches2 . the diameter of the rod follows a normal distribution with a mean of 11.8 inches and a variance of 0.0121 inches2 . what is the probability that a randomly chosen rod will fit into a randomly chosen ring?

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3

i suppose it should be (y=2x-5)

step-by-step explanation:

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.