The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches. What is the probability that a sheet selected at random will be less than 29.75 inches long
Answers
Answer:
6.68% or 0.0668
Step-by-step explanation:
Mean sheet length (μ) = 30.05 inches
Standard deviation (σ) = 0.2 inches
In a normal distribution, for any length X, the z-score is determined by the following expression:
For X = 29.75, the z-score is:
A z-score of -1.5 corresponds to the 6.68th percentile of a normal distribution.
Therefore, the probability that a sheet selected at random will be less than 29.75 inches long is 6.68%.
Related Questions
11/5 divided by 51/4 equals
Can someone help me solve this please?
For the class field trip, the fourth grades at Jefferson Elementary School need to take buses. Each bus fits 55 students and there are 200 students in fourth grade. How many buses will they need?3 buses 3 R20 buses 4 buses None of these is correct.
A boat is being towed such that the tow line is at an angle of 30° with respect to the surface of the ocean. If the boat is towed with a force of 50 Newtons for 7,000 meters, approximately how much work is done?A. 152,000 JoulesB. 175,000 JoulesC. 303,000 JoulesD. 350,000 Joules
Answers
Answer:
121.857
Step-by-step explanation:
6×7r = 5118
42r = 5118
r = 121.857
Answer:
121.8571428571429
Step-by-step explanation:
r= 5118/42
Answers
Answer: 6 hours
Step-by-step explanation:
You have to divide 360 by 60 minutes.
Answer:
There are 360 minutes in 6 hours.
Hope this helps :)
multiplication and addition,
3x5
Answers
5+5+5
3+3+3+3+3
5x3
3x5
Answers
Answer:
18 gallons
Step-by-step explanation:
Step 1:
140 : 10 = x : 5 Equation / Ratio
Step 2:
10x = 700 Multiply
Step 3:
x = 70 Divide
Step 4:
322 miles - 70 miles To find how many miles are needed to get to 322
Step 5:
252 miles ÷ 14 To find the amount of gas / Divide
Answer:
18 gallons more
Hope This Helps :)
f(x) = (2x -6,
{
x < 2
x > 2
8. f(-2) =
9. f(3) =
10. f(5) =
Answers
Answer:
Step-by-step explanation:
Hope it helps
Answers
Answer:
D. 6<x<24.
Step-by-step explanation:
Let x be the length of third side of our triangle.
We have been given that two sides of a triangle have lengths 9 and 15.
To find the possible length for 3rd side of our triangle we will use triangle inequality theorem.
Triangle inequality theorem states that the sum of the lengths of any two sides of a triangle should be greater than the length of the third side.
Using triangle inequality theorem we will get:
Therefore, the third side of triangle must be greater than 6 and less than 24 and option D is the correct choice.