What percentage of the 50 regions have stores within 1, 2, or 3 standard deviations of the mean?
Answers
Approximately 99.7% of the data fall within three standard deviations of the mean.
In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ)
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).
In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
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Related Questions
Please i need help i don't understand
Answers
Answer:
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign
Step-by-step explanation:
10. How many times smaller
is 0.98 than 9.8?
Answers
Explanation:
Since these number are in the decimal system, we know that as the decimal moves to the left, each digit it passes is divided by 10. As the decimal moves to the right, each digit it passes is multiplied by 10.
So in this example the decimal moves to the left one digit which means it divides by 10 so we go from 9.8 to 0.98.
Hence we say 0.98 is 10 times smaller than 9.8.
Cheers.
Which decimals are equivalent to 5x10 + 2x1/100
Answers
Answer:
50.2
Step-by-step explanation:
△FGH represents an artist's initial work on a design for a new postage stamp. What must be the values of x, y, and z in order for the artist's stamp to be congruent to △ABC?
Answers
The values of x, y, and z in order for the artist's stamp to be congruent to △ABC is 15, 6, and 4 respectively
Given data
The two triangle that has the values are attached:
How to find the value of x, y, and z to make the triangles congruentThe value of x
( 2x + 6 ) mm = 36 mm
2x mm = ( 36 - 6 ) mm
2x mm = 30 mm
x = 30 / 2 mm
x = 15 mm
The value of y
( 6y ) mm = 36 mm
y = 36 / 6 mm
y = 6 mm
The value of z
( 3z + 39 ) mm = 51 mm
3z mm = ( 51 - 39 ) mm
3z mm = 12 mm
z = 12 / 3 mm
z = 4 mm
Therefore, the values of x, y, and z in order for the artist's stamp to be congruent to △ABC is 15, 6, and 4 respectively
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complete question
The complete question is attached
Bruce made 6 pans of brownies. He cut each pan into 9 brownies. How many brownies did Bruce end up with?
Answers
Answer:
54
Step-by-step explanation:
9 x 6 = 54 Bruce will end up with 54 brownies if he cuts each of the 6 brownie pans of brownies into 9.
6x-4≤-28
Is this value part x=-10;
Answers
One of the solutions to the following linear inequality is the value x=-10.
What are linear inequalities?
Expressions that compare two linear expressions using inequality symbols are referred to as linear inequalities. It's important to remember that if p < q, then p must be a number that is strictly less than q. If p ≤ q, then p is a number that is strictly smaller than q or exactly equal to q. The same is true for the other two inequality signs > (greater than) and ≥ (greater than or equal to).
What guidelines apply for resolving linear inequalities?
Addition Rule of Linear Inequalities:If a > b, then a + x > b + x and if a < b, then a + x < b + x.Subtraction Rule of Linear Inequalities:
If a > b, then a − x > b − x and if a < b, then a − x < b − x.Multiplication Rule of Linear Inequalities:
If a > b and a > 0, then a * x > b * x and if a < b and a > 0, then a * x < b * x,
If a > b and a < 0, then a * x < b * x and if a < b and a < 0, then a * x > b * x.Division Rule of Linear Inequalities:
If a > b and a > 0, then (a/x) > (b/x) and if a < b and a > 0, then (a/x) < (b/x).
If a > b and a < 0, then (a/x) < (b/x) and if a < b and a < 0, then (a/x) > (b/x)
Given equation: 6x-4≤-28
Add 4 to both sides according to the addition rule:
(6x+4)+4 ≤ (−28)+4
6x-4+4≤ -24
6x≤-24
Now, divide both sides by 6 according to the division rule:
6x/6 ≤−24/6
x ≤ -4
Therefore, x ≤ -4 is the solution for the given linear inequality where, x ∈ (-∞,-4)
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Express 21 as a product of prime
factors
Answers
3*7
Explanation:
Prime means that your factors cannot be divisible by any other number but 1, and itself.
3 and 7 are both prime numbers, and are the only prime numbers that multiply to 21.
Your prime factorization is 3*7.
Hope that helped!!
Answer:
21=1×21 or 3×7
Step-by-step explanation:
21 is a composite number.factors of 21:1,3,7,21.
Prime factorization:21=3×7.
since 3 and 7 are the only prime numbers ...
Thanks!!
Labels for gender where 1=female and 2=male is an example of using ______ scale.
Answers
Labels for gender where 1=female and 2=male is an example of using a nominal variable scale.
What is a nominal variable?A categorical variable (also known as a nominal variable) has two or more categories but no inherent ordering of the categories. Because the categories (woman, man, transgender, non-binary, etc.) cannot be ordered from high to low, gender is an example of a nominal variable. Medal winners are an example of an ordinal variable because the categories (gold, silver, bronze) can be ordered from most valuable to least valuable. A categorical variable is a variable in statistics that can take on one of a restricted, and usually fixed, a number of possible values, assigning each individual or other unit of inspection to a specific group or nominal category based on some qualitative property. For example, a nominal variable scale is used to label gender, with 1 representing female and 2 representing male.Therefore, labels for gender where 1=female and 2=male is an example of using a nominal variable scale.
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There is a safety fence around a circular pool with a gate. The gate is 150 cm wide.
20 m
gate
150 cm
What is the length of the fence not including the gate?
m
Answers
part
how many solutions are there to the equation below? 5x+48+7x=12(x+4) A) 1 B) infinitely many C) 0
Answers
Answer: Thus answer is "B"
Step-by-step explanation: Because you can move around and combine different numbers to get a different answer.
Find an equation in cylindrical coordinates for the equation given in rectangular coordinates. 25x2=25y2=6x
Answers
25r(cos^2Ф-sin^2Ф)-6cosФ=0
The equation in rectangular coordinates is 25x2=25y2=6x, we need to write in cylindrical coordinates
What is rectangular coordinate system?The rectangular coordinate system consists of two real number lines that intersect at a right angle
In cylindrical coordinate, x=rcosФ
y=rsinФ
z=z
25(rcosФ)^2=25(rsinФ)^2=6rcosФ
25r^2cos^2Ф-25r^2sin^2Ф=6rcosФ
25r^2(cos^2Ф-sin^2Ф)=6rcosФ
25r(cos^2Ф-sin^2Ф)-6cosФ=0
25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required equation in cylindrical coordinates.
Therefore 25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required cylindrical equation
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How much will a person pay for 1.4 pounds of bananas at a price of $1.85 per pound?
Answers
Step by step
$1.85 x 1.4# = 2.59
X = $2.59
A school has 360 students, 4/9 of whom are boys. How many of the students are boys? How many are girls?
Answers
Answer:
There are 160 boys and 200 girls
Step-by-step explanation:
its a proportion
Find the range of allowable values based on the given information. round to the nearest tenth. 44; can vary by 4.2%
Answers
The range of allowable values based on 44 vary by 4.2% is 42.1 to 45.9.
As given in the question,
Value 44 vary by 4.2% is equal to
4.2% of 44
= ( 4.2 / 100) × 44
= 184.8 /100
= 1.848
≈ 1.9 (nearest tenth)
Range of allowable values based on 44 vary by 4.2% is given by
Lower limit = 44 - 1.9
= 42.1
Upper limit = 44+ 1.9
= 45.9
Therefore, the range of allowable values based on 44 vary by 4.2% is 42.1 to 45.9.
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The infant has apgar scores of 7 at 1 minute and 9 at 5 minutes. what is the indication of this assessment finding?
Answers
An infant may have had birthing complications that reduced the amount of oxygen in her blood if her Apgar score ranges from 7 at 1 minute to 9 at 5 minutes. In this situation, the hospital nurses will most likely vigorously dry her with a towel while holding oxygen under her nose.
What are Apgar scores?The Apgar score is a recognized and practical way to report on the newborn baby's condition right after birth and their reaction to resuscitation, if necessary. One's particular neonatal mortality or neurologic prognosis cannot be predicted by the Apgar score alone, nor can it be regarded as a result of suffocation. It should also not be utilized to do so. An infant's spontaneous breathing score and the Apgar score given after resuscitation are not the same thing. An enhanced Apgar score reporting form that takes into account concurrent resuscitative treatments is encouraged by both the American Academy of Pediatrics and the American College of Obstetricians and Gynecologists.
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Sally knows the number of hours worked per week for five of the her employees is
30, 30, 38, 35 and 30. How many hours must the sixth person work per week if she
calms the average employee works 35 hours per week? Round your answer to the
nearest whole number. Be sure to show your work.
Answers
sixth person work per week=47 hours
Average:
The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set
Given :
the number of hours worked per week for five of her employees is
30, 30, 38, 35, and 30.
the average work of 6 employees is 35 hours per week
Solution :
Let, Total work per week= S
sixth person work per week=x
Total work per week= Number of people x average working hour
S= 35(6) = 210..(1)
S = 30+30+38+35+30+x
S= 163+x..(2)
By equation 1 and equation 2
210= 163+x
210-163=x
47=x
sixth person work per week=47 hours
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637,982 + 2,819 i need it
Answers
Answer: 640801
Step-by-step explanation: Simply add both together, 637,982 plus 2819.
Answer:
637, 982 + 2,819 = 640,801
Danae is choosing between two jobs. One job pays an annual bonus of $1,500 plus $120 per day worked. The second job pays an annual bonus of $2,500 plus $110 per day worked. Which equation can be solved to determine after how many days, d, Danae would make the same amount of money regardless of the job she chooses?
O 120d + 110d = 1,500 + 2,500
O 120 + 110 = 1,500d + 2,500d
• 120d + 1,500 = 110d + 2,500
• 120d + 2,500 = 110d + 1,500
Answers
Answer: 120d + 1500 = 110d + 2500
Solution: The first 1500 + 120d
The second 2500 + 110d
So. 120d + 1500 = 110d +2500
If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, what is the new standard time for the navigator iii?.
Answers
9 minutes is the new standard time for the navigator iii.
What is statistics and example?
Statistics is the branch of mathematics that deals with the gathering, tabulating, and analysis of numerical data. Statistics is defined as numerical data. A report of data indicating the number of adherents of each religion in a specific nation is an example of statistics.If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, then
Element 1 2 3 4 5 6
Mean obs. Time(t) 1.11 3.1 0.895 1.283333 1.565 1.5
Normal time 1.0545 1.395 0.93975 1.283333 1.33025 1.65 Sum
Standard time 1.240588 1.641176 1.105588 1.509804 1.565 1.941176
Sum 9.003333
New standard time = 9 minutes
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Sophia finished 32 pages of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?
Answers
Answer:
270
Step-by-step explanation:
From (1) and (2), we get,
> y + 90 = 2/3X
> 1/3 X + 90 = 2/3X
> 90 = 1/3 X
> X = 270
Therefore
Solve the equation 29 = v + 23 for v.
Answers
Answer:
6
Step-by-step explanation:
Solving steps
29v+23
Move the terms
- v =23 -29
Calculate
-V=-6
Change the signs
Solution
V = 6
Answer: 6
Step-by-step explanation: the guy above me has the best expanation
The line y=x+1 intersects the graph of y=x^2-3x-11 at the points A and B
Find the coordinates of A and B
Answers
Answer:
(6, 7) and (-2, -1)
Step-by-step explanation:
if y=x+1 intersects with y=x^2-3x-11
then we need to find x and y such that both of those equations are true.
If y = x + 1 is true and y=x^2-3x-11, then
y - y = x^2-3x-11 - x - 1 is also true
0 = x^2 - 4x - 12
use your preferred method to solve the quadratic equation
0 = (x - 6)(x + 2)
x = 6 or x = -2
now for each x we take y from either equation, but y = x + 1 is simpler.
for x = 6 the coordinates are (6, 7) and for x = -2 the coordinates are (-2, -1)
Evaluate the expression 30-14divided by 2
Answers
Answer:
23
Step-by-step explanation:
You have to do the division first unless it is a fraction.
14/2 = 7
30 - 7 = 23
If it was a fraction (with 30 - 14 on top and 2 on the bottom) Then the answer would be 8 > 30 - 14 = 16/2 = 8
Hope this helps.
Which expression is equivalent to (2^-1)^3
Answers
The solution is [tex]\frac{1}{8}[/tex] .
To understand this problem we need to know the concept of surds and indices, powers and exponents.
If we write [tex]x^{2}[/tex] it means that x must be multiplied by itself two times.
But if we write [tex]x^{-2}[/tex] it means [tex]\frac{1}{x^{2} }[/tex].
Which means if an number has negative power then it must be written in the inverse format to make it positive.
Given here is [tex](2^{-1})^{3}[/tex]
⇒[tex](\frac{1}{2}) ^{3}[/tex]
⇒[tex]\frac{1}{8}[/tex] is the required solution of the problem.
This can also be solved in other ways by multiplying the powers and then inverting the fraction to make it positive.
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Write 0.7222… as a fraction in simplest form
Answers
Answer:
3611/5000
Step-by-step explanation:
In a physical bus topology, both ends of the medium must be terminated in order to prevent what?
Answers
In a physical bus topology, both ends of the medium must be terminated in order to prevent "single bounce."
What is bus topology?Bus topology, also recognized as line topology, is a network topology in which all network devices are connected by a single RJ-45 network cable and coaxial cable.
The bus, backbone, or trunk is the single cable through which all data is transmitted among devices.
Some pros of bus topology are-
Installing and adding or removing devices is simple and inexpensive.It does not necessitate that much cabling as other topologies.If a device fails, the other devices are unaffected.Works well for small networks.Some cons of bus topology are-
If the connection fails, the network as a whole will fail or split.Problems are difficult to troubleshoot.Slow and unsuitable for larger networksTerminators are required at both ends of the line to avoid bouncing signals from causing interference.Increasing the number of devices and network traffic reduces the overall network performance.To know more about bus topology, here
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Darren is purchasing a car that costs $10,000. He is taking out a simple interest loan at an annual rate of 3%. If he makes monthly payments over a period of 6 years, how much is his monthly payment?
$138.89
$163.89
$168.92
$180.12
Answers
well, let's take a peek, hmmm 10000 bucks at 3% over 6 years hmmm
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$10000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &6 \end{cases} \\\\\\ A=10000[1+(0.03)(6)] \implies \boxed{A = 11800}~\hfill \cfrac{\stackrel{total}{11800}}{\underset{months}{72}}\approx \underset{per~month}{163.89}[/tex]
Answer:
B
Step-by-step explanation:
i'm pretty sure it's right but could be wrong
How many license plates can be made using either three letters followed by three digits or four letters followed by two digits?
Answers
63273600 license plates can be created using either three uppercase English letters preceded by three digits or four uppercase English letters tried to follow by two digits.
What are permutations and combinations?Permutations and combinations are the various ways in which objects from a set can be selected to form subsets, generally without replacement.When the order of selection is a factor, this selection of subsets is called a permutation; when it is not, it is called a combination.So,
Uppercase English letters equal 26.and the digits = 10 (0 to 9)Three uppercase English letters, then three digits:
First letter = 26 different waysSecond letter = 26 different waysThird letter = 26 different waysFourth digit = 10 different waysFifth digit = 10 different waysSixth digit = 10 different waysTotal number of possible ways = 26 x 26 x 26 x 10 x 10 x 10 = 17576000
Four uppercase English letters, then two digits:
First letter = 26 waysSecond letter = 26 waysThird letter = 26 waysFourth letter = 26 waysFifth digit = 10 waysSixth digit = 10 waysTotal number of possible ways = 26 x 26 x 26 x 26 x 10 x 10 = 45697600
Three uppercase English letters, three digits, or four uppercase English letters, two digits.
= three uppercase English letters, three digits + four uppercase English letters, two digits= 17576000 + 45697600= 63273600Therefore, 63273600 license plates can be created using either three uppercase English letters preceded by three digits or four uppercase English letters tried to follow by two digits.
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What is 9+2 plus
For it
Answers
Answer:
11
Step-by-step explanation:
9 + 2 = 11
Best explanation I can give for this.
Answer: 11
Step-by-step explanation: bc i used a calculater
0.(3)= answer please
Answers
After multiplying 0, 3 times and following the laws of exponents, the value yielded is 0.
What is the law of exponents?
There are varied exponent laws in mathematics. Numerous fine problems that involve repeated addition operations can be answered using all of the exponentiation principles. The principles of exponents make addition and division processes simpler and make it easier to answer issues. The six significant rules of exponents will be covered in this composition along with multitudinous worked-out exemplifications.When multiplying a number by itself constantly, exponents are employed to illustrate this. For the case, 73 can be used to represent 7 x 7 x 7. The exponent, in this case, is" 3," denoting how numerous times the number 7 has been multiplied. Then, the number that's actually being multiplied is 7, which serves as the base.
Given that,
[tex]0^3[/tex] , Expanding it following laws of exponents,
We get,
0*0*0=3
Therefore, [tex]0^3=0[/tex].
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