Manufactured bolts can’t be too long or too short or they might not fit where they need to. Help determine which bolts will work and which won’t. Show your work for all steps.A machine makes bolts that are 12 mm long. The bolts are considered acceptable if they are within 0.2 mm of 12 mm.
What is the longest the bolt can be and still be acceptable?
What is the shortest the bolt can be and still be acceptable?
Answers
Answer:
- longest: 12.2 mm
- shortest: 11.8 mm
Step-by-step explanation:
The longest acceptable bolt is one that is longer than the mid-range value by an amount equal to the difference limit, 0.2 mm
12 mm + 0.2 mm = 12.2 mm . . . . longest acceptable bolt
The shortest acceptable bolt is one that is shorter than the mid-range value by an amount equal to the difference limit.
12 mm - 0.2 mm = 11.8 mm . . . . shortest acceptable bolt
Related Questions
In your own words, explain how debit resequencing works.
Find mH to the nearest degree. HELP PLEASE! URGENT!!!!!!GRADEPOINT
The total of 8 and the product of x and 2
Q # 8 please solve the question
Answers
Answer:
By the Chebyshev's Theorem, the minimum percentage of recent graduates who have salaries $22,800 and $30,000 is 89%.
Step-by-step explanation:
Chebyshev's theorem states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 26,400
Standard deviation = 1200
Between $22,800 and $30,000
22800 = 26400 - 3*1200
So 22800 is 3 standard deviations below the mean
30000 = 26400 + 3*1200
So 30000 is 3 standard deviations above the mean.
By the Chebyshev's Theorem, the minimum percentage of recent graduates who have salaries $22,800 and $30,000 is 89%.
Final answer:
Using Chebyshev's theorem, we conclude that at least 88.9% of recent graduates have salaries between $22,800 and $30,000, given a mean salary of $26,400 and a standard deviation of $1200.
Explanation:
The question is asking for the minimum percentage of recent graduates who have salaries within a specific range using Chebyshev's Theorem. By definition, Chebyshev's theorem states that at least 1 - 1/k^2 of data from a sample will fall within k standard deviations from the mean, where k is any number greater than 1. The range in this question can be represented as being within 3 standard deviations from the mean (because ($30,000 - $26,400)/$1200 = 3 and ($26,400 - $22,800)/$1200 = 3). Thus, the minimum percentage of recent graduates having salaries within this range is at least 1 - (1/3^2) = 1 - 1/9 = 8/9 = 88.9%. So, at least 88.9% of the recent graduates fall within this salary range according to Chebyshev's theorem.
Learn more about Chebyshev's Theorem here:
#SPJ3
Answers
Answer:
50 seconds in order to assemble 20 pizza boxes
Step-by-step explanation:
there are two ways to solve this the first way is divide 20 by 2 which is 10 and then multiply 10 by 5 the reason to this is because we know that for every 2 it takes 5 seconds.
the second way takes longer but you write:
2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
so here were basically writing the number 2 10 times because when u count that u can see that it equals 20 and then since for every 2 boxes it takes 5 seconds u put the 5 under each 2 so then you would count the 5s, like 5, 10 15, 20... and so on and u will see that its 50 which means 50 seconds.
98.6
98.7
98.5
98.0
98.2
98.0
99.0
98.0
98.8
The mean is °F.
(Round to the nearest hundredth as needed.)
Answers
The mean is the average median is the middle value of the data set while the mode is the highest frequency number thus mean median and mode are 98.39,98.35 and 98 respectively.
What are the mode and median?
Mode is the highest frequency number while the median is the middle value of a data set after writing in either an increasing or decreasing manner.
The increasing order of the given dataset,
98.0,98.0,98.0,98.1,98.2,98.5,98.6,98.7,98.8,99.0
Mean →
(98.0+98.0+98.0+98.1+98.2+98.5+98.6+98.7+98.8+99.0 )/10
⇒ 98.39
Median →
(98.2+98.5)/2 = 98.35
Mode →
The highest frequency of 98.
Hence "The mean is the average median is the middle value of the data set while the mode is the highest frequency number thus mean median and mode are 98.39,98.35 and 98 respectively".
To learn more about mode and median,
#SPJ2
Answer:
Mean: 98.49
Median: 98.35
Mode: 98
ABC? Select three options.
Answers
Answer:
Options (1), (3) and (4)
Step-by-step explanation:
From ΔABC given in the picture,
By Pythagoras theorem
Hypotenuse² = (Leg 1)² + (Leg 2)²
BC² = AB² + AC²
(18)² = 9² + AC²
AC =
AC = cm
sin(C) =
=
=
sin(C) =
sin(B) =
=
=
cos(B) =
=
=
tan(B) =
=
=
=
tan(C) =
=
=
Therefore, Options (1), (3) and (4) are the correct options.
Answer:
Options (1), (3) and (4)
Step-by-step explanation:
From ΔABC given in the picture,
By Pythagoras theorem
Hypotenuse² = (Leg 1)² + (Leg 2)²
BC² = AB² + AC²
(18)² = 9² + AC²
AC =
AC = cm
sin(C) =
=
=
sin(C) =
sin(B) =
=
=
cos(B) =
=
=
tan(B) =
=
=
=
tan(C) =
=
=
Therefore, Options (1), (3) and (4) are the correct options.Step-by-step explanation:
Her lunch weighs 1 lb, her gym clothes weigh
2 lb, and her books (b) weigh 3 lb each. How
many books can she carry in her backpack?
Answers
Answer:
nothing
Step-by-step explanation:
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The value of −b²−2bx²−x when the value of x=-2 is −b²−8b + 4.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the expression −b²−2bx²−x will be,
−b² − 2bx² − x
= − b² − 2b(-2)² − (-2)
= − b² − 8b + 4
Hence, the value of −b²−2bx²−x when the value of x=-2 is −b²−8b + 4.
Learn more about Expression:
#SPJ2