Chapter 07, Section 7.4, Problem 041 A machine at Katz Steel Corporation makes 4-inch-long nails. The probability distribution of the lengths of these nails is approximately normal with a mean of 4 inches and a standard deviation of 0.09 inch. The quality control inspector takes a sample of 25 nails once a week and calculates the mean length of these nails. If the mean of this sample is either less than 3.95 inches or greater than 4.05 inches, the inspector concludes that the machine needs an adjustment. What is the probability that based on a sample of 25 nails, the inspector will conclude that the machine needs an adjustment? Round your answer to 4 decimal places. Probability = the tolerance is +/-5% 8th-ed Chapter 07, Advanced Exercises, Problem 103 Let u be the mean annual salary of Major League Baseball players for 2002. Assume that the standard deviation of the salaries of these players is $105,000. what is the probability that the 2002 mean salary of a random sample of 60 baseball players was within $15.000 of the population mean, u. Assume that <0.05. Round your answer to two decimal places. the tolerance is +/-5%

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A: Solution: Given vectors a and b such that a=3,  b=5 and a·b=-14

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A: Given: ÷4=6

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A:

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A: Please see the below picture for detailed solution.

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A: Option D is correct..

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A: Let's find angle.

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.