Of the shirts produced by a company, 6.5% have loose threads, 9.5% have crooked stitching, and 3% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.

Step-by-step explanation:

Given

Represent loose threads with L, Crooked stitching with C.

So, we have:

Required

Calculate P(L or C)

In probability:

In this case:

Substitute values for P(L), P(C) and P(L and C)

Convert to decimal

Hence:

The required probability is 0.13

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.