Answer:
The probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is 0.65173.
Step-by-step explanation:
We are given that a company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2 cm and a standard deviation of 2.1 cm. For shipment, 17 steel rods are bundled together.
Let 
= <u><em>the average length of rods in a randomly selected bundle of steel rods</em></u>
The z-score probability distribution for the sample mean is given by;
Z = 
~ N(0,1)
where, 
= population mean length of rods = 259.2 cm
= standard deviaton = 2.1 cm
n = sample of steel rods = 17
Now, the probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is given by = P( > 259 cm)
P( > 259 cm) = P( > 
) = P(Z > -0.39) = P(Z < 0.39)
= <u>0.65173</u>
The above probability is calculated by looking at the value of x = 0.39 in the z table which has an area of 0.65173.
There is no algebraic way of isolating X unfortunately.
For these equations, you have to solve with numerical approximation.
I suggest Newtons method if you know calculus.
Answer:
No solution
Step-by-step explanation:
There are no values of x that make the equation true; hence making it have no solution.
The correct answer to your question is:
D. The volume of the cylinder is 8 times the volume of the smaller cylinder.
Answer:
Step-by-step explanation:
In math, every digit in a number has a place value. Place value can be defined as the value represented by a digit in a number on the basis of its position in the number. ... 8 is in ones place and its place value is 8. Understanding the place value of digits in numbers helps in writing numbers in their expanded form.
