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.
Pablo ran farther, the work I did is below. I used an LCD (Lowest common denominator) to solve the problem.
Algebra is the study of operations, how an object is varied from a set of numbers. Moreover, calculus is the study of change among these numbers, the chain or algorithmic patterns of change or just random sets of change is the field that calculus values which algebra can not apply or understand. However with the application of both geometry and algebra, calculus is formed. It has the direction/shape and the set of operations at its disposal.
Answer:
1018 cm
Step-by-step explanation:
A=piR^2
To find the radius from circumference, we divide by pi and then divide by two.
C=36pi
36pi/pi=36
36/2=18
R=18
if we plug 18 into
A=piR^2,
we get
18pi^2=A
18pi^2=1017.88
round this to get 1018
A=1018
Answer:170
Step-by-step explanation:
Place the numbers in ascending order that should give you
120,160,170,180,180
Then find the number that is in the middle that would be 170, there for your answer is 170