The correct option is (D). On average, the number of breakdowns per day varies from the mean by about 0.28.
Because standard deviation represents the typical distance between each data point and the mean.
The variability in a dataset is condensed into a single value called the standard deviation (SD). It shows the typical separation between the mean and each data point. Smaller values show that the data points are more evenly distributed around the mean, indicating that the dataset's values are generally stable.The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It offers us a sense of how variable a dataset is.
A discrete random variable's variance and standard deviation can be seen as measurements of the variability of the values the random variable assumes throughout the course of an experiment's multiple trials.So, the correct answer is On average, the number of breakdowns per day varies from the mean by about 0.28.
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Researches are conducting a study to determine the effect of caffeine on memory among Americans. A sample of 100 individuals is given a list of 20 words to look at and remember over the course of 24 hours. Which of the following uses correct notation?
a. n = 100 b. N = 100 c. n = 20 d. N = 20
The correct notation for the sample size in this research study is "n = 100."
A sample is a portion of the population that is selected to represent the entire population.
In this study, the sample size of 100 individuals is a representation of the entire population of Americans, and the researchers are using this sample to gather information about the effect of caffeine on memory.
The notation "n" and "N" are commonly used in statistics to refer to sample size and population size, respectively. In this research study, the sample size is 100 individuals, so the correct notation is "n = 100."
In this case, the sample size of 100 individuals is considered a small to medium sample size.
Therefore, option (a) is correct.
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ava says i think that 3/7
929
Step-by-step explanation:
yes sorry i cant do this
Match each system on the left with all words that describe the system on the right Choices on the right can be used more than onceinconsistentconsistent independent dependenty = 2x + 3 x+y = -3 3y = 9x – 62y - 6x = 4 y = - 1/2x + 2 x+ 2y = 4
By rewriting the 3 given systems, we will see that:
1) Independent and consistent.
2) Independent and inconsistent.
3) Dependent.
Let's analyze each system.
Let's look at the first one, we can rewrite it as:
y = 2x + 3
y = -x - 3
So, the slopes are different, meaning that we have one solution, so this system is consistent and independent.
Now let's look at the second system, we can rewrite it as:
y = 3x - 2
y = 3x + 2
Here both lines have the same slope, so the lines never do intersect, meaning that the system is inconsistent and independent.
For the final system, we have:
y = (-1/2)*x + 2
y = (-1/2)*x + 2
So, we have two equal lines, so this system is dependent.
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What is (f - g)(x)?
f(x) = 5x + 5
g(x) = x² + 9x
The evaluation of (f - g)(x) of the functions gives -x² - 4x + 5
How to evaluate (f - g)(x) of the function?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
We have the functions, f(x) = 5x + 5 and g(x) = x² + 9x.
In order to find (f - g)(x), we will subtract g(x) = x² + 9x from f(x) = 5x + 5. That is:
(f - g)(x) = (5x + 5) - (x² + 9x)
(f - g)(x) = 5x + 5 - x² - 9x
(f - g)(x) = -x² - 4x + 5
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6,132 divided by the power of 10 to the 3rd power
When 6,132 is divided by the exponent (10 to the 3rd power) it yields the value 6.132.
What is an exponent?
The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
The integer value is given as 6132.
The exponent value is given as 10³.
Use the arithmetic operation of division -
6132 / 10³
Write the numerator of the expression in the exponent form -
(6.132 × 10³) / 10³
Then use the exponent rule - a^x / a^y = a^(x-y).
6.132 × 10^(3-3)
6.132 × 10^0
Anything raised to the power 0 is 1.
6.132 × 1
6.132
Therefore, the value is obtained as 6.132.
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Find the restricted values of x for the following rational expression.
Simplify the following union and/or intersection.
(−∞,−12]∩[−12,18)
The restricted values of x for the given rational expression are all real numbers except for x = −12.
Find the restricted values of x for the following rational expression?The restricted values of x for the rational expression are x ≠ -12.The simplified union and/or intersection is (−∞,−12).The simplified union and/or intersection is (−12, 18). This is called an open interval because it does not include the endpoints.The restricted values of x for the given rational expression are all x-values that make the expression undefined.This includes any values of x that make the denominator of the expression equal to 0, as this would result in a division by 0.The given union and intersection is (−∞,−12]∩[−12,18).This is known as the intersection of two intervals, and the result of this expression is (−12,18).This means that the set of values that satisfy the expression are all real numbers greater than -12 and less than 18.To learn more about intersection of two intervals refer to:
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The inverse Laplace transform ofF left parenthesis s right parenthesis equals fraction numerator 5 s plus 2 over denominator s squared open parentheses s squared minus 1 close parentheses end fractionis
O minus 5 plus 2 t plus fraction numerator 7 e to the power of t over denominator 2 end fraction plus fraction numerator 3 e to the power of minus t end exponent over denominator 2 end fraction
O minus 5 plus 2 t minus fraction numerator 7 e to the power of t over denominator 2 end fraction plus fraction numerator 3 e to the power of minus t end exponent over denominator 2 end fraction
O 5 minus 2 t plus fraction numerator 7 e to the power of t over denominator 2 end fraction plus fraction numerator 3 e to the power of minus t end exponent over denominator 2 end fraction
O 5 minus 2 t minus fraction numerator 7 e to the power of t over denominator 2 end fraction plus fraction numerator 3 e to the power of minus t end exponent over denominator 2 end fraction
O minus 5 minus 2 t plus fraction numerator 7 e to the power of t over denominator 2 end fraction plus fraction numerator 3 e to the power of minus t end exponent over denominator 2 end fraction
The inverse Laplace transform of F(s) equals 5 minus 2 t plus fraction numerator 7 e to the power of t over denominator 2 end fraction plus fraction numerator 3 e to the power of minus t end exponent over denominator 2 end fraction.
The function's representation in the time domain is the supplied function's inverse Laplace transform. The function in this problem has the denominator s2 (s2 - 1) and the numerator 5s + 2. The outcome of the inverse Laplace transform is a function of time t with a constant term of -5, a linear term of 2t, two exponential terms (7et and 3e-t) split by 2, and a constant term of 7et.
These words are combined to form the final response, which provides the supplied function's time-domain representation. The answer options' divergent interpretations of the constant and linear terms show that there are several correct ways to calculate the inverse Laplace transform.
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If y=-3x
X+y=9
Solving systems of equations by substitution
Answer:
x=-4.5 y=13.5
Step-by-step explanation:
plug in y=-3x to x+y=9
x+(-3x)=9
distribute
x-3x=9
combine like terms
-2x=9
isolate the variable
-2x/-2=9/-2
x=-4.5
plug in x=4.5 into y=-3x
y=-3(-4.5)
simplify
y=-13.5
done :D
Using the slope from the previous problem, find the equation of the line passing through the points (-2,1) and (2,-11) the previous is -3
The equation of the line passing through the points (-2,1) and (2,-11) the previous is -3 is -3x - 4.
What do you mean by slope?It is also commonly represented by the variable "m" in the equation of a line: y = mx + b. A positive slope indicates that the line rises as x increases, a negative slope indicates that the line falls as x increases, and a slope of zero indicates that the line is horizontal.
The equation of the line with slope -3 and passing through the point (-2,1) can be found using point-slope form of a line:
y - 1 = -3 (x + 2)
y = -3x - 5 + 1
y = -3x - 4
The equation of the line passing through the points (-2,1) and (2,-11) is y = -3x - 4.
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Larry Mitchell invested part of his $14,000 advance at 6% annual simple interest and the rest at 7% annual simple
interest. If his total yearly interest from both accounts was $930, find the amount invested at each rate.
***
According to the problem,Therefore, x = 12714.29 and y = 1285.71. Mitchell invested $12714.29 at 6% and $1285.71 at 7%.
What is the invested ?Investment is the process of using money to purchase assets in order to generate income or increase in value. Investing involves the purchase of assets such as stocks, bonds, mutual funds, real estate, commodities, or other investments in order to achieve financial goals. It is a long-term strategy that involves setting aside funds for the future, with the expectation of obtaining a return on the investment. The ultimate goal of investing is to maximize the return on an investment while minimizing the risk of loss.
Let x be the amount invested at 6%, and y be the amount invested at 7%.
We know that x + y = 14,000, as this is the total amount of the advance.
We also know that the total interest each year is $930. We can calculate the interest individually using the formula I = Prt, where P is the principal (the amount invested), r is the interest rate and t is the time (1 year in this case).
For the 6% investment: I = (x)(0.06)(1) = 0.06x
For the 7% investment: I = (y)(0.07)(1) = 0.07y
We now have two equations:
0.06x + 0.07y = 930
x + y = 14,000
We can use substitution to solve for x and y.
Substitute x + y = 14,000 into equation 0.06x + 0.07y = 930 to get 0.06(14,000) + 0.07y = 930.
Simplifying, we get 840 + 0.07y = 930.
Subtract 840 from both sides to get 0.07y = 90.
Divide both sides by 0.07 to get y = 1285.71.
We now know that y = 1285.71.
Substitute y = 1285.71 into x + y = 14,000 to get x = 14,000 - 1285.71 = 12714.29.
Therefore, x = 12714.29 and y = 1285.71. Mitchell invested $12714.29 at 6% and $1285.71 at 7%.
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please i need help with this trigonometry
Answer: √15
Step-by-step explanation:
AB²+BC²=AC²
(√8)²+(√6)²=AC²
AC²=14
AC=√14
Find STV
A. 39
B. 40
C. 45
D. 35
Answer:
D. 35°.
Step-by-step explanation:
1. additional building is performed and provided in the attachment;
2. m∠SUV=55/2x=27.5x;
3. m∠TUS=180-m∠SUV=180-27.5x;
4. m∠SUC=0.5(180°-95°)=42.5°, then m∠SUC=m∠CSU=42.5°;
5. m∠UST=90-m∠CSU=90-42.5=47.5°;
6. in ΔSTU: m∠UST+m∠TUS+m∠STU=180°, then
47.5°+180°-27.5x+10x+5°=180, ⇒ x=3;
7. finally, if x=3, then m∠STU=m∠STV=3*10+5=35°.
4. Cuando la suma de 8 y cierto número es igual
a 12, el resultado es el mismo que el producto
de 3 y ese número. ¿Cuál es el número?
We can use a system of equations to solve x + 8 = 12 and the both equations are true, we can conclude that the number is 4.
What is system of equations ?
A system of equations is a collection of two or more equations that are solved simultaneously to find the values of the variables that satisfy all of the equations. Each equation in the system represents a constraint on the variables, and the solution to the system is the set of values for the variables that satisfy all of the constraints.
We can use a system of equations to solve this problem. If the number in question is called "x", we can write:
x + 8 = 12
y
3 * x = 12
Now we can solve for "x". First, we will isolate "x" from the first equation:
x + 8 = 12
x = 12 - 8
x = 4
Now we can check if this result also satisfies the second equation:
3 * x = 12
3 * 4 = 12
Since both equations are true, we can conclude that the number is 4.
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(42
5
+ (-1
4
)) ÷ (3
4
− (-1.75)) =
Answer:
= 11.496503
Step-by-step explanation:
a uniform solid sphere of mass m1 and radius r1 is inside and concentric with a spherical shell of mass m2 and radius r2 (fig. p14.48). find the gravitational force exerted by the spheres on a particle of mass m located at (a) (b) and (c) where r is measured from the center of the spheres.
The gravitational force exerted by the spheres on a particle of mass m located at (a)r=a,(b)r=b, and (c)r=c are
[tex]F=\frac{Gm_1m_a}{R_1^2}\\\\F=\frac{Gm_1m}{b^2}}\\\\F=m(\frac{Gm_1}{c^2} +\frac{Gm_2}{c^2} )[/tex]
Total gravitational Field at r=a
Total gravitational Field at r=a=Field due to solid sphere+ field due to spherical shell
we know the gravitational field inside the spherical shell is zero.
and gravitational field due to the solid sphere inside = [tex]\frac{GMr}{R^2}[/tex]
so here
Total gravitational Field=Field due to solid sphere+ field due to spherical shell
[tex]G=\frac{Gm_1a}{R_1^2} +0\\\\G=\frac{Gm_1a}{R_1^2}[/tex]
Force exerted on particle F=mG
[tex]F=\frac{Gm_1m_a}{R_1^2}[/tex]
when r=b:
we know the gravitational field inside the spherical shell is zero.
and gravitational field due to a solid sphere outside at a distance:
[tex]r=\frac{GM}{r^2}[/tex]
so here
Total gravitational Field=Field due to solid sphere+ field due to spherical shell
[tex]G=\frac{Gm_1}{b^2}}+0\\\\G=\frac{Gm_1}{b^2}}[/tex]
Force exerted on particle F=mG
[tex]F=\frac{Gm_1m}{b^2}}[/tex]
gravitational field due to a hollow sphere outside at a distance:
[tex]r=\frac{GM}{r^2}[/tex]
and gravitational field due to a solid sphere outside at distance:
[tex]r=\frac{GM}{r^2}[/tex]
so here
Total gravitational Field=Field due to solid sphere+ field due to spherical shell
[tex]G=\frac{Gm_1}{c^2} +\frac{Gm_2}{c^2}[/tex]
Force exerted on particle F=mG
[tex]F=m(\frac{Gm_1}{c^2} +\frac{Gm_2}{c^2} )[/tex]
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Sean l(x) y C(x) el ingreso y costo total de una fábrica
al producir y vender x productos respectivamente,
con precio unitario de venta de S/(2x-2) y costo
unitario de S/(x+4). Si los costos fijos suman S/160,
halle el mínimo número de unidades que se debe
vender para que la fábrica obtenga utilidades.
The minimum quantity that the factory must sell in order to obtain benefits is x is 3.
What is the minimum quantity that the factory?Assuming that the unit price and unit cost are known, in addition to the fixed costs, the following formulas are proposed to determine the minimum quantity number of units that the factory must sell in order to obtain benefits: Input, cost, total cost, benefit, and utility. This example illustrates these formulas.
Unities sold = x =?
Unitary selling price = [tex]S.(2x-2)[/tex]
Unit cost is [tex]\frac{S}{(x+4)}[/tex]
Fixed costs = [tex]\frac{S}{160}[/tex]
Assumption: I(x) = p*x= x*
[tex](2x-2)[/tex]
Total cost: C(x)=[tex]x*(x+4)+160[/tex]
U(x) = [tex]x*(2x-2)-x*(x+4)+160[/tex]
U(x) = [tex]2x^{2} -2x-x(4)+160[/tex]
U(x)= [tex]x^{2} -6x+160[/tex]
derived from and equal to zero:
U'(x)= [tex]2x-6=0[/tex]
x = 3.
Therefore, the minimum quantity that the factory must sell in order to obtain benefits is x is 3.
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Two workers in a holiday boutique are filling stockings with small gifts and candy. Lisa has already filled 2 stockings and will continue to fill them at a rate of 1 stocking per hour. Jake, who just arrived to help, can fill 3 stockings per hour. At some point, Jake will catch up with Lisa and they will have completed the same number of stockings. How many stockings will each worker have filled by then? How long will that take?
Based on the information, it can be inferred that after one hour Jake and Lisa will have filled 3 socks each.
How to find the time necessary for both of them to have filled the same number of socks?To find the time necessary for both of them to have filled the same number of socks, we must take into account the speed at which each one fills the socks.
Jack 3 socks / hourSmooth 1 half / hourAdditionally, when Jake arrives at work, Lisa has already filled two stockings. According to the above, after one hour Lisa will complete all 3 socks and Jake will have filled the first 3 socks for him.
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The following table gives wages and profits for a Robert's Manufacturing.
Year 1998 2000 2002 2004
Wages in Millions 4 6 8.7 14.7
% increase in wages 25 50 45 69
Profits in Millions 1 1.4 2.3 4.3
% increase in profits 20 40 64 87
The information given in the table is displayed in the two graphs below.
It is time for the boss, David, to complete the annual employee reviews. David wants to use the information above to show to the employees requesting a pay raise. Which graph should David use to limit the amount of pay raises?
A.
Either graph will do since they are based off of the same information.
B.
Based on the employee evaluations, everyone should get a raise this year.
C.
Graph (w)
D.
Graph (z)
Answer:
year 1998
Step-by-step explanation:
The hotel room tax in Junction City is calculated using the function T(x)=0.06x+4.5, where x = the cost in dollars of the room and T(x) = the tax in dollars. What is the tax on a room that costs $120? Please look at the screenshot for the answer options. I am in a rush. Someone answer pls. Thx.
Tax on hotel room that costs $120 = $11.7
What is linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
Given,
Function for tax of hotel room
T(x)=0.06x+4.5
where x is the cost in dollars of the room
T(x) = the tax in dollars.
Cost of the room = $120
Tax of the room
= 0.06(120) + 4.5
= 7.2 + 4.5
= $11.7
Hence, $11.7 is the tax on room that costs $120.
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An expression is shown below.
143-35
33
What is the value of the expression?
A 4
B 9
с12
D 18
Answer:
4?
Step-by-step explanation:
(143-35)/3^3
108/27
4
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{143 - 35}{3^3}}[/tex]
[tex]\mathsf{= \dfrac{108}{3^3}}[/tex]
[tex]\mathsf{= \dfrac{108}{3 \times 3 \times 3}}[/tex]
[tex]\mathsf{= \dfrac{108}{9 \times3}}[/tex]
[tex]\mathsf{= \dfrac{108}{27}}[/tex]
[tex]\mathsf{= 4}[/tex]
[tex]\huge\text{Therefore, your answer should be: }[/tex]
[tex]\huge\boxed{\mathsf{4}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Please help me with this question.
The solution of the given differential initial value problem is
y(x) = 1/25 e⁻⁵ˣ(6e⁵ˣ - 5x - 6).
What is initial value problem?In multivariable calculus, an initial value problem is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the domain.Given is the initial value problem -
y''' + 10y'' + 25y' = 0
We can write the -
[tex]$25 \frac{d}{d x} y{\left(x \right)} + 10 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = 0$[/tex]
The given differential equation can be solved and written as -
y(x) = 1/25 e⁻⁵ˣ(6e⁵ˣ - 5x - 6)
Therefore, the solution of the given differential initial value problem is
y(x) = 1/25 e⁻⁵ˣ(6e⁵ˣ - 5x - 6).
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Task 4
misc. 7%
gifts &
entertainment
12%
clothes 5%
savings
10%
debt 5%
housing 30%
Spending Guidelines
(% of net incomes)
food 20%
transportation
11%
Lily makes a net annual income of
$52,500 and has saved enough
money for a 20% down payment on
a $230,000 house. She estimates her
mortgage will be $1,200 per month.
Can she afford this mortgage?
1: What is Lily's net monthly income?
2: How much is her down payment?
3: Not considering the down payment, is a
$1,200 monthly mortgage payment within
the Spending Guideline for housing?
According to the problem Lily's net monthly income is $4,375.
What is net monthly income?Net monthly income is the total amount of money an individual earns each month after deducting any taxes, insurance, or other expenses from the total gross income. It is the amount of money a person has available to pay bills, save, or use for other purposes. Net monthly income is often referred to as take-home income, since it is the money an individual actually has after taxes and other deductions.
1: Lily's net monthly income is $4,375.
2: Lily's down payment is $46,000 (20% of $230,000).
3: Yes, a $1,200 monthly mortgage payment is within Lily's Spending Guideline for housing. The guideline recommends spending no more than 30% of net income on housing. In this case, 30% of $4,375 is $1,312.50, so $1,200 is within the guideline.
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Using Mathematical operations, Her monthly income is 4375. As 1200 < 4375, she can manage monthly mortgage payment within the Spending Guideline for housing.
Arithmetic operations are the foundation of mathematics. Addition, subtraction, multiplication, and division are the fundamental operations that can be carried out on relations.
We hardly never go a day without using them. Every day, we perform mathematical operations to determine total revenue and expenses for businesses, make monthly or annual budgets, calculate distances, and more.
For instance, we use them to figure out how many questions there were altogether on our assignment, how much time and money we spent, how many chocolates we consumed, how many points we obtained overall for all of our subjects, etc.
Given,
Lily makes a net annual income of $52,500,
Her monthly income will be = 4375
20% down payment on a $230,000 house = 0.20 × 230000 = 46,000
Her down payment = 46,000
her mortgage will be $1,200 per month.
As 1200 < 4375, she can manage monthly mortgage payment within
the Spending Guideline for housing.
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Solve for x.
B
6
5
X
× = [?]
will
give brainliest
The value of x is 7.5. Each pair of alternate interior angles formed by a transversal cutting two parallel lines are equal. Each pair of interior angles on the same side of a transversal that cuts two parallel lines are supplementary, or they add up to 180 degrees.
Parallel Lines Cut by Transversal: What are they?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. Any line that crosses two straight lines at two different points is said to be a transversal. Different angles are created when any two parallel lines cross a transversal. Between these pairs of angles, there is a relationship.
Since,
The lines are bisected by parallel lines.
hence,
[tex]\frac{4}{6}=\frac{5}{x} \\\\x=\frac{30}{4} \\\\x=7.5[/tex]
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Can anyone help with this?
For given parallelogram, x = 4.
What are a parallelogram's four characteristics?There are six crucial parallelogram characteristics to be aware of:
Congruent sides are those when AB = DC.
Congruent opposite angels are D = B.
(A + D = 180°) Consecutive angles are supplementary.
All angles are correct if just one of them is.
A parallelogram's diagonals cut each other in half.
In Geometry, a parallelogram is a type of quadrilateral. It is a two-dimensional figure with four sides. The most important properties of a parallelogram are that the opposite sides are parallel and congruent and the opposite angles are also equal.
Find the value of x in parallelogram?5x-1=19
⇒5x=19+1
⇒5x=20
x=20/5
x=4
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Please help me with the following question.
The Probability that an incoming lot contain 36% of imperfect cloths will be acceptable is 0.00957
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1,
Given that Cappelli Inc. designs and manufactures women's apparel using material from various mills.
Their acceptance sampling plan states that 10 two inch squares of the incoming material must be carefully checked. If 3 or less squares reveal imperfections, the lot is accepted
Here no of defects in the 10 checked is Binomial because each trial is independent and there are only two outcomes.
X = no of defects is Bin (10, 0.36)
The probability that an incoming lot from Blufton Mills that contains 36 percent imperfect cloth will be accepted
P (X ≤ 3) = 0.00957.
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36÷9643 what is the solution and answer
Answer:
[tex] \frac{36}{9643} = 0.003733278[/tex]
(3x+2y=20
1x-7y=22
X
scouting troops in Sullivan County are putting on a crab feed to raise money for camp. They offer a complete crab dinner as well as a vegetarian option. One troop member sold tickets for 36 crab meals and 16 vegetarian meals, with total receipts of $1,632. Another sold tickets for 21 crab meals and 28 vegetarian meals, bringing in a total of $1,344. How much do the two types of tickets cost?
The two types of tickets cost $36 and $21.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Let x = cost of a crab meal
and, y = cost of a vegetarian meal
So, the system of equations
36x + 16y = 1632.......(1)
21x + 28y = 1344 ...........(2)
Solving equation (1) and (2) we get
36x + 16 ( 1344 - 21x) / 28 = 1632
36x + 768 - 12x = 1632
24x = 864
x= 36
and, y = 1344 - 21(36) / 28
y = 21
Hence, tickets cost are $36 and $21.
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2x + 2y = 8, x + y = -2
Answer:
X=-2-y
2(-2-y)+2y=8
-4-2y+2y=8
Step-by-step explanation:
-4-8=0
=-12
Based on the histogram, estimate the mean commute distance (in miles) for the students in the sample. Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place.
The mean commute distance (in miles) for the students in the sample is given as follows:
7.9 miles.
How to obtain the mean?The mean of a data-set is calculated as the sum of all observations in the data-set divided by the number of observations.
The histogram gives the number of observations in each range.
Hence, to obtain the sum of the observations, we consider the midpoint of each range, as follows:
S = 20 x 2 + 20 x 6 + 14 x 10 + 7 x 14 + 4 x 18 + 3 x 22
S = 536.
The number of people is given as follows:
20 + 20 + 14 + 7 + 4 + 3 = 68.
Hence the mean is of:
536/68 = 7.9 miles.
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