Acompany produces steel rods. the lengths of the steel rods are normally distributed with a mean of 92.6-cm and a standard deviation of 2-cm. for shipment, 12 steel rods are bundled together. find the probability that the average length of a randomly selected bundle of steel rods is between 92-cm and 92.4-cm. enter your answer as a number accurate to 4 decimal places.

0.2140

Step-by-step explanation:

Given : A company produces steel rods. The lengths of the steel rods are normally distributed with

Sample size :

Let x be the length of randomly selected item.

z-score :

For x=92 cm

For x=92.4 cm

The probability that the average length of a randomly selected bundle of steel rods is between 92-cm and 92.4-cm by using the standard normal distribution table

=

Hence, the probability that the average length of a randomly selected bundle of steel rods is between 92-cm and 92.4-cm is 0.2140.

triangle and cube

step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2