JayLiz1737
09.07.2020 •
Mathematics
1) Describe a real-world situation in which the rational numbers 6 3/8, -6.25, -31.4, 6.75 are a partial solution set of an inequality. 2) State the inequality. Make sure to define the variable. 3) Describe why the values are a partial solution set.
Solved
Show answers
More tips
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- H Health and Medicine How to Calm Your Nerves? Expert Tips That Actually Work...
- A Animals and plants 5 Tips for Taking Care of Yews to Keep Them Green and Beautiful...
- S Sport How to wrap boxing hand wraps? Everything you need to know!...
- F Food and Cooking 10 Reasons Why You Should Avoid Giving Re-Gifts: An Informative Guide...
- F Family and Home Tender Care for Your Parquet: Is it Possible to Clean Parquet?...
- S Style and Beauty How Are Eyelash Extensions Applied? All Your Questions Answered...
- F Food and Cooking 10 Tips for Proper Sushi Consumption...
- S Style and Beauty Learn how to tie a keffiyeh on your head like a pro...
Answers on questions: Mathematics
- M Mathematics An experiment was conducted to determine the effect of activity on pulse rate. Data were collected and recorded in the table below. What activity most likely corresponds to the pulse...
- C Chemistry The specific spatial arrangement of amino acid residues that are close to each other in the polypeptide chain is calledthe structure of a protein. a. primary. b. secondary. c. tertiary....
- M Mathematics So 2+2 =4? please help im in 2nd grade only and im an innofent kid...
- M Mathematics Question 4: Factor (2x^2 + 4x) (x^2 + x - 6) completely....
- S Spanish Choose the best Spanish word to complete the sentence Nathaniel. Al parque todos los Dias iban iba ibamos ibais...
- M Mathematics 8x-2=4+5x Solve for x...
Ответ:
a) The minimum head breadth that will fit the clientele = 4.105 inches to 3d.p = 4.1 inches to 1 d.p
b) The maximum head breadth that will fit the clientele = 8.905 inches to 3 d.p = 8.9 inches to 1 d.p
Step-by-step explanation:
This is normal distribution problem.
A normal distribution has all the data points symmetrically distributed around the mean in a bell shape.
For this question, mean = xbar = 6.1 inches
Standard deviation = σ = 1 inch
And we want to find the lowermost 2.3% and uppermost 2.3% of the data distribution.
The minimum head breadth that will fit the clientele has a z-score with probability of 2.3% = 0.023
Let that z-score be z'
That is, P(z ≤ z') = 0.023
Using the table to obtain the value of z'
z' = - 1.995
P(z ≤ - 1.995) = 0.023
But z-score is for any value, x, is that value minus the mean then divided by the standard deviation.
z' = (x - xbar)/σ
- 1.995 = (x - 6.1)/1
x = -1.995 + 6.1 = 4.105 inches
The maximum head breadth that will fit the clientele has a z-score with probability of 2.3% also = 0.023
Let that z-score be z''
That is, P(z ≥ z'') = 0.023
Using the table to obtain the value of z''
P(z ≥ z") = P(z ≤ -z")
- z'' = - 1.995
z" = 1.995
P(z ≥ 1.995) = 0.023
But z-score is for any value, x, is that value minus the mean then divided by the standard deviation.
z'' = (x - xbar)/σ
1.995 = (x - 6.1)/1
x = 1.995 + 6.1 = 8.905 inches