Bolts are manufactured which are to fit in holes in steel plates. The diameter of the bolts is normally distributed with mean 2.60 cm and standard deviation 0.03 cm; the diameter of the holes is normally distributed with mean 2.71 cm and standard deviation 0.04 cm. a) Find the probability that a bolt selected at random has a diameter less than 2.65 cm. b) Find the probability that a hole selected at random has a diameter more than 2.65 cm. c) If a bolt and a hole are selected at random, find the probability that the bolt will be able to enter the hole.

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.