Rachel that swam 2 2⁄3rd mile then another 4 and one-half mile, did 5/12 miles more than Jason
What is a fraction?Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.
To solve this problem we must perform the corresponding algebraic operations with mixed fraction.
Data of the problem:
Jason 1 = 3 1/2 mileJason 2 = 3 1/4 mileRachel 1 = 2 2/3 mileRachel 2 = 4 1/2 mileA mixed operation is solved as follows:
For the denominator: the same denominator is placed.
For the numerator:
The value of the denominator is multiplied by the integer component.The result is added to the numerator of the fraction.We transform the mixed fractions into improper fractions and we have:
3 1/2
= [(3*2) + 1)] /2
= [6+ 1] /2
7/2
3 1/4
= [(3*4) + 1)] /4
= [12+ 1] /4
13/4
2 2/3
= [(3*2) + 2)] /3
= [6+ 2] /3
8/3
4 1/2
= [(4*2) + 1)] /2
= [8+ 1] /2
9/2
Calculating how many miles Rachel did more than Jason we have:
Rachel miles more = Rachel - Jason
Rachel miles more = (8/3 + 9/2) - (7/2 + 13/4)
Rachel miles more = [(16 + 27)/6] - [(14 + 13)/4]
Rachel miles more = 43/6 - 27/4
Rachel miles more = (172 - 162)/24
Rachel miles more = 10/24
Simplifying we have:
Rachel miles more = 5/12
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4x+2y≥14 what is the y intercept?
The y-intercept of the line 4x + 2y ≥ 14 is y ≥ 7.
How to find y-intercept?The y-intercept is the point where the graph intersects the y-axis. In other words, the y-intercept of a line is the value of y when x equals to zero.
In simpler term, the y-intercept of a function is the point(s) where the graph of the function crosses the y-axis.
Therefore, let's find the y-intercept of the inequality.
4x + 2y ≥ 14
let's substitute x as 0.
Therefore,
4x + 2y ≥ 14
4(0) + 2y ≥ 14
2y ≥ 14
divide both sides by 2
2y / 2 ≥ 14 / 2
Hence,
y ≥ 7
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2.
Recall that Stella is the pacesetter the 4:10
pace group of a marathon and is required to
finish within 2 minutes of the pace time.
Stella must run between
minutes and
meet the requirement.
minutes in order to
Stella must run between 248 minutes and 252 minutes in order to meet the requirement.
What is the time-to-minute conversion?
As an hour consists of 60 minutes, we can convert hours into minutes by multiplying hour by 60. So, for example, if one wants to convert 3 hours into minutes, one can do it by multiplying 3 by sixty which will give 3 x 60 = 180 minutes.
To figure out the range of times within which Stella must finish the marathon in order to meet the requirement of finishing within 2 minutes of the 4:10 pace time,
we can use the following steps:
Convert the pace time of 4:10 to minutes.
Since there are 60 minutes in an hour, 4:10 is equal to 4 * 60 + 10 = 250 minutes.
Add 2 minutes to the pace time. Since Stella must finish within 2 minutes of the pace time, this gives us a finish time of 250 + 2 = 252 minutes.
Subtract 2 minutes from the pace time. Since Stella must finish within 2 minutes of the pace time, this gives us a finish time of 250 - 2 = 248 minutes.
The range of times within which Stella must finish the marathon in order to meet the requirement is 248 to 252 minutes.
Hence, Stella must run between 248 minutes and 252 minutes in order to meet the requirement.
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What are the 4 lines of symmetry?.
The 4 lines of symmetry is square.
In math the imaginary line or axis along which you can fold a figure to obtain the symmetrical halves is called the line of symmetry.
Here we need to find the 4 lines of symmetry.
As we all know that the line of symmetry is known as a balanced and proportionate similarity that is found in two halves of an object.
So, based on these definition, we have identified that A square has four lines of symmetry.
Because it can be folded in half over either diagonal or the horizontal segment which cuts the square in half or the vertical segment which cuts the square in half.
Therefore the square has four lines of symmetry.
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a) Fill in the gap to make the statement true: Even numbers are numbers that are divisible by b) 2 is the only even prime number. Write a sentence to explain why this is true.
a. Even numbers are numbers that are divisible by 2
b. prime number is the number that has two factors by 1 and itself, all even numbers are divisible by 2 hence any other even number aside 2 will be divisible by 1, 2 and itself and this does not define a prime number any more
What is prime number?A prime number is a positive integer greater than 1 that is only divisible by 1 and itself. In other words, a prime number has exactly two positive integer divisors: 1 and itself.
For example, the first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, and so on. The number 2 is the only even prime number, and all the other prime numbers are odd.
Prime numbers are important in mathematics because they play a crucial role in various fields such as number theory, cryptography, and coding theory. They are also used as basic building blocks for constructing larger composite numbers.
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QS is a midsegment of PRT
IF PT=x+67 and QS=x+27, what is the value of x?
The value of x is 13 if QS is a midsegment of PRT
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that QS is a midsegment of PRT
IF PT=x+67 and QS=x+27,
We need to find the value of x
From midsegment theorem we have
QS=1/2(PT)
x+27=1/2(x+67)
x+27=x/2+67/2
x-x/2=67/2-27
x/2=13/2
x=13
Hence, the value of x is 13 if QS is a midsegment of PRT
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For each function, 1) find the inverse (if it exists), 2) find the domain and range for both f and f^-1
1) y=1/5^(1-x)+2
2)1-5^x/5^(x-1)
3)y=log1/5(x+1/2)-1
Answer:
1. y = 1/5^(1-x) + 2
The inverse function, denoted as f^-1(x), can be found by swapping the x and y variables and solving for y.
So, x = 1/5^(1-y) + 2
To find the inverse, we need to solve for y:
y = 1 - log(5, x-2)
Note that the inverse only exists if the original function is a one-to-one function, meaning that it assigns a unique output to each input.
The domain of f is all x such that x > 2. And the range of f is all y such that y > 2. The domain of f^-1 is all x such that x > 2 and the range of f^-1 is all y such that y > 1.
----------------------------------------------------------
2. 1 - 5^x/5^(x-1)
The inverse function, denoted as f^-1(x), can be found by swapping the x and y variables and solving for y.
So, x = 1 - 5^y/5^(y-1)
To find the inverse, we need to solve for y:
y = log(5, 1/(x+1)) + 1
Note that the inverse only exists if the original function is a one-to-one function, meaning that it assigns a unique output to each input.
The domain of f is all x such that x < 1. And the range of f is all y such that 0 < y < 1. The domain of f^-1 is all x such that x < 1 and the range of f^-1 is all y such that y > 1.
--------------------------------------------------------------
3. y = log1/5(x+1/2)-1
The inverse function, denoted as f^-1(x), can be found by swapping the x and y variables and solving for y.
So, x = log1/5(y+1) - 1/2
To find the inverse, we need to solve for y:
y = 5^(x+1/2) - 1
Note that the inverse only exists if the original function is a one-to-one function, meaning that it assigns a unique output to each input.
The domain of f is all x such that x exists. And the range of f is all y such that y > -1. The domain of f^-1 is all x such that x exists and the range of f^-1 is all y such that y > 0.
-----------------------------------------------------------------
In summary,
1. f^-1(x) = 1 - log(5, x-2) Domain: x>2, Range: y>2.
2. f^-1(x) = log(5, 1/(x+1)) + 1 Domain: x<1, Range: 0<y<1.
3. f^-1(x) = 5^(x+1/2) - 1 Domain: x exists, Range: y>-1.
What is the slope intercept form of the following equation − 6x − 2y − 18?.
The slope intercept form of the following equation 6x - 2y = 18 is y = 3x - 9
We knwo that the slope intercept form of equation of line is y = mx + b, where m is the slope and b is the y-intercept.
Consider given equation,
6x - 2y = 18
6x - 2y - 6x = 18 - 6x .......(Subtract 6x from each side)
- 2y = 18 - 6x
- 2y × (-1) = (18 - 6x) × (-1) ......(Multiply each side by -1)
2y = -18 + 6x
2y/2 = (-18 + 6x)/2 ..........(Divide each side by 2)
y = -18/2 + 6x/2
y = -9 + 3x
y = 3x - 9
This equation is in the form y = mx + b
Here, slope m = 3 and the y-intercept b = -9
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The complete question is:
What is the slope intercept form of the following equation 6x - 2y = 18?
what is the solution to the system or equations graphed below?
y = -3/2 x + 2 y = 5x = 28
A. (-4,8)
B.(4,8)
C.(-8,4)
D.(0,2)
Answer:
It is A im preety sure
Step-by-step explanation:
very sorry if im wrong but im almost possitive its A
Which vehicle gets the best mileage per gallon?
A 4-column table with 3 rows. Column 1 is labeled Vehicle with entries Sedan, Minivan, Truck. Column 2 is labeled Miles Traveled with entries 630, 798, 864. Column 3 is labeled Gasoline Used (gallon) with entries 35, 42, 54. Column 4 is labeled Unit Rate with entries 18, 19, 16.
The vehicle with best mileage per gallon is Minivan vehicle .The maximum milage value is 19 miles/gallon.
We have, a table as present in above figure. The table contains 4-column and 3 rows. Column 1 is labeled different Vehicles, Column 2 is labeled Miles Traveled and Column 3 is labeled Gasoline Used (gallon). We have determine the vehicle gets the best mileage per gallon. Milage of a vehicle means how many distance vehicle going to run per quantity of fuel. In this cas milage of vehicle is miles going to run per gallons of fuel.
The formula to calculate gas mileage is
Milage = Miles Traveled/ Gasoline used (gal).
Now, we consider each row one by one.
Milage for Sedan = 630/35 = 18 miles/gallon
Milage for Minivan = 798/42 = 19 miles/gallon
Milage for Truck = 864/54 = 16 miles/gallon
Hence, the required vehicle is Minivan with milage of 19 miles/gallon.
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Complete question:
Which vehicle gets the best mileage per gallon? The above table complete the question. A 4-column table with 3 rows. Column 1 is labeled Vehicle with entries Sedan, Minivan, Truck. Column 2 is labeled Miles Traveled with entries 630, 798, 864. Column 3 is labeled Gasoline Used (gallon) with entries 35, 42, 54. Column 4 is labeled Unit Rate with entries 18, 19, 16.
How do you find the sum of a partial series?.
The sum of a partial series is calculated by Sn=∑ni=1ai=n(a1+an)2.
A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit.
A partial sum is the total of a limited number of the series' terms. To see how the infinite sum behaves, we can examine a collection of these sums. The index of the final term in the sum is used to denote each of these partial sums.
When a group of numbers, known as addends or summands, are added together in mathematics, the outcome is their sum or total.
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How do you solve 3x 4y =- 12?.
The solution of equation 3x + 4y = -12 for y is y = -3 - 3/4 x.
In the given question, we have to solve 3x + 4y = -12 for y.
The given equation is 3x + 4y = -12.
To solve this equation for y, we have to isolate the y.
Now solving the given equation.
3x + 4y = -12
Subtract 3x on both side, we get
4y = -12 - 3x
Divide by 4 on both side, we get
y = [tex]\frac{1}{4}[/tex](-12 - 3x)
Now simplifying the expression.
y = -12/4 - 3/4 x
y = -3 - 3/4 x
Hence, the solution of equation 3x + 4y = -12 for y is y = -3 - 3/4 x.
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The complete question is:
How do you solve 3x + 4y = -12 for y?
4. If a and b are the acute angles of a right triangle and sec a = 3/2, find the six trig function of b
sin b=
cos b=
tan b=
ctn b =
sec b =
csc b=
Sin b=4/5 cos b=3/5 tan b=4/3 ctn b=3/4 sec b=5/3 csc b=5/4
What is trigonometric functions?The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecanIn mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many othersTrigonometry is the study of relationships between angles, lengths, and heights of triangles. It includes ratios, functions, identities, and formulas to solve problems based on it, especially for right-angled triangletrigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).To learn more about trigonometric functions refers to:
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How do you solve system of 2 linear equations using graphical method?.
The graphical technique is a strategy for resolving a set of linear equations by creating a graph. The following are the steps needed to solve a system of two linear equations graphically.
Get the two-variable linear equation system that is supplied.
Plot the first equation's graph on the same coordinate system as the second equation.
Plotting the graphs may result in the following three situations:
The presented system has a singular solution provided by the coordinates at the point of intersection if the line intersects at that place.
The system is consistent and contains an endless number of solutions if the lines coincide.
If the lines are parallel, the provided equation system is inconsistent, meaning it cannot be solved.
Consider two linear equations,
y = x - 1
y = 2x + 2
The equations should now be graphed in the coordinate plane.
The graph shows that the common point (-3, -4) where the two linear equations cross is the answer to the given system of linear equations.
As a result, we can solve linear equations graphically by plotting the graph on the coordinate system.
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you want to buy a pair of shoes that cost $65 but you have a coupon that will reduce the prove by $15 what would the percent decrease be
Answer: 76.92%
Step-by-step explanation:
To find the percent decrease is simple. First let's find the difference: 65 - 15 which gives you 50. 50/65 * 100 = 76.92%. Have a good day ;)
Exponential functions
The average rate of change between 2006 and 2010 is 172.
What is average rate?Average rate is a statistical measure used to compare a set of values or quantities. It is calculated by taking the sum of the values, then dividing by the number of values in the set. Average rate is most often used to measure the average performance of a group, individual, or business over a certain period of time.
The average rate of change between 2006 and 2010 is calculated by taking the difference in the values of the function for the two given years and then dividing it by the difference in the two years.
In this case, the difference in the values of the function for 2006 and 2010 is 1725 - 1037 = 688. The difference in the two years is 2010 - 2006 = 4.
Thus, the average rate of change is 688/4 = 172.
Therefore, the average rate of change between 2006 and 2010 is 172.
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As societies exchange ideas, globalization is unable to keep up with the speed at which culture has spread. becomes more challenging at the speed that culture has spread. increases at the same speed at which culture has spread. is unaffected by the speed at which culture spreads.
Answer:
As societies exchange ideas, globalization is unable to keep up with the speed at which culture has spread.
diagram shows a sphere and a cone
the cone has height h cm
the radius of the base of the cone is 3 times the radius of the sphere
given that volume is equal to the volume of the cone find an expression of the radius of the sphere in terms of h
give your expression in the simplest form
An expression of the radius of the sphere in terms of h is; h = ⁴/₃r
How to find the volume of the sphere?We are given;
Height of cone = h
Radius of cone = 3r
Radius of sphere = r
Volume of cone = Volume of sphere
Now, formula for Volume of cone = ¹/₃πr²h = ¹/₃π(3r)²h = 3πr²h
Volume of sphere = ⁴/₃πr³
Thus;
3πr²h = ⁴/₃πr³
Multiply both sides by 3/πr² to get;
9h = 12r
h = ⁴/₃r
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Please help yall!
What is the total sales for bicycles for store 1 and 2?
What is the total cost for bicycles for store 1 and 2?
What is the total profit for bicycles for store 1 and 2?
The total sales for bicycles for store 1 and 2 = 54 bicycles.
Thee total cost for bicycles for store 1 and 2= $7,530
The total profit for bicycles for store 1 and 2= $12,420
How to calculate the number of sales?The total sales for bicycles for store 1 and 2 can be calculated as thus;
Store 1 = 15+20 = 35
Store 2 = 10+9 = 19
Total sales for store 1 and 2 = 35+19 = 54
The total cost for bicycles for store 1 and 2=
Store 1 = 150×35= $5,250
Store 2 = 19× 120 = $2,280
The total cost for bicycles in both stores= $5,250+$2,280= $7,530.
The total profit for bicycles for store 1 and 2=
Store 1 = 230×35 = $8,050
Store 2 = 230×19 = $4,370
The total profit from both stores = $8,050+$4,370= $12,420.
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5 1/5 + 3 1/3 = 9 2/3 is this correct?
How do you solve log base questions?.
The answer to the equation for the logarithm of 1 in base 7 is x=0, where x is the power to which 1 must be raised in order to obtain the value 7.
The definition of the logarithm function, which is the inverse of the exponential function and reads log b(x) = y, is by = x. To put it another way, it reflects the increment in base b that must be raised in order to obtain the value x.
When solving log 7(1), we are seeking the power to which 7 must be increased in order to obtain the value 1.
Since 1 is the result of raising any number to the power of 0, we may state that 70 = 1, which implies that log 7(1) = 0.
Finding the value of x that makes the equation log 7(x) = 1 true is necessary to solve log base 7 1.
Log b(x) = y signifies that b = y using the definition of a logarithm.
Therefore, we can put 1 = 7x and obtain x = log7(1) = 0 to solve log7(1).
So, x=0 is the answer to the logarithm in base 7 of 1.
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what are the steps to evaluate an exponential expression
The steps to evaluate an exponential expression include:
Identify the base and the exponent in the expressionReplace the base with the value that you want to use.Use the exponent to determine how many times the base should be multiplied by itself.Perform the multiplication and simplify the expression.How to evaluate an exponential expression ?First, you need to identify the base which is the number being raised to a power, and the exponent is the power to which the base is being raised. Then replace this base with the value that is needed to be used.
Use this exponent such that you can find out the number of times the base will multiply itself and then do the multiplication and simplify the expression.
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Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating.
20% tip on a bill of $542.11
The amount of the tip is approximately $
.
Answer: $ 108.42
Step-by-step explanation: Take 20% of the total.
Tonya i nine year younger than twice Marty’ age. Danielle i two year older than Tonya. The um of the age of the three ibling can be expreed a 3M 8 where M repreent Marty’ age. How old i Marty?
Marty is 21 years old. Translated the problem statement into mathematical expressions and then used algebraic manipulation to solve for the unknown variable, which in this case is Marty's age (M).
Algebra is a branch of mathematics in which letters and symbols are used to represent numbers and quantities in equations and formulas. It is used to study mathematical relationships and properties, and to solve problems using mathematical models. Algebraic equations involve one or more variables (often represented by letters such as x, y, or z) that represent unknown values.
Let M be Marty's age.
According to the problem statement, Tonya is 9 years younger than twice Marty's age, so 2M - 9 = T (where T is Tonya's age).
Danielle is 2 years older than Tonya, so T + 2 = D (where D is Danielle's age).
We know that the sum of the three siblings' ages can be expressed as 3M + 8.
So, we can set up the following equation:
M + (2M - 9) + (2M - 9 + 2) = 3M + 8
Solving for M, we get:
M = 21
Therefore, Marty is 21 years old.
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Can X² 1 be the quotient on division of X 2x² x 1 by a polynomial in x in degree 5?.
After solving, we check that [tex]x^2[/tex] - 1 cannot be the quotient of p(x).
In the given question, we have to check whether the quotient is [tex]x^2[/tex] - 1.
The given polynomial is [tex]x^6 + 2x^3[/tex] + x - 1 is divided by a polynomial in x of degree 5.
Given a polynomial p(x) and a non-zero polynomial g(x), the division algorithm asserts that there are polynomials q(x) and r(x) such that p(x) = g(x) q(x) + r(x), where r(x) = 0 or degree r(x) < degree g(x).
5th degree polynomial because the power of the dividend should equal the degree of the product of the quotient and the divisor.
Degree 1 will result from the division of a degree of polynomial 6 by a degree of polynomials 5 and 6.
From the given question,
P(x) = [tex]x^6 + 2x^3[/tex] + x - 1
g(x) = x in degree of 5
q(x) = x² - 1
So,
[tex]x^6 + 2x^3[/tex] + x - 1 = (x in degree of 5)([tex]x^2[/tex] - 1) + r(x)
[tex]x^6 + 2x^3[/tex] + x - 1 = x in degree of 7
Hence, [tex]x^2[/tex] - 1 cannot be the quotient of p(x).
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The complete question is:
Can [tex]x^2[/tex] - 1 be the quotient on division of [tex]x^6 + 2x^3[/tex] + x - 1 by a polynomial in x of degree 5?
A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below.
better same worse
Republican 38 104 44
Democrat 12 87 137
none 21 90 118
Express each of your answers as a percent rounded to the nearest tenth (for example, 12.3%).
What percent of survey respondents identified themselves as affiliated with neither party?
____%
What percent of survey respondents thought the economy was about the same?
____%
What percent of those affiliated with neither party thought the economy was about the same?
____%
Among survey respondents who thought the economy was about the same, what percent were affiliated with neither party?
____%
The percentages for this problem are given as follows:
Neither: 35.2%.Economy about the same: 43.2%.Economy about the same, neither: 39.3%.Neither, economy about the same: 32%.How to obtain the percentages?The percentages are obtained applying proportions, as a percentage is the division of the number of desired outcomes by the number of total outcomes, and then multiplied by 100%.
651 adults were surveyed, of which 21 + 90 + 118 = 229 were affiliated with neither party, hence the percentage is of:
229/651 x 100% = 35.2%.
104 + 87 + 90 = 281 said that the economy was about the same, hence the percentage is of:
281/651 = 43.2%.
90 people out of the 229 that were unaffiliated felt that the economy was the same, hence:
90/229 x 100% = 39.3%.
Of the 104 + 87 + 90 = 281 people that thought that the economy is about the same, 90 were affiliated with neither part, hence:
90/281 = 32%.
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How tall will your hair be if its 3 inches and you make a mow Mohawk, and it gets another 1.5 inches how long your hair is.
We'll cut straight to it: On average, hair grows at a rate of about half an inch per month, or six inches per year. Each hair on your head grows from an individual follicle.
How tall will your hair be if its 3 inches and you make a mow Mohawk?We'll cut straight to it: On average, hair grows at a rate of about half an inch per month, or six inches per year. Each hair on your head grows from an individual follicle.
The average person's hair grows ½ an inch each month which sums up to 6 inches of growth per year.
For you I'd say maybe anywhere from 3 to 5 months it would be around the length you're looking for. It may take a year to get it to your shoulders.
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Carl is attempting to find the value of x by using the side splitter theorem. Carl set up the proportion 63=12x. If carl is correct, what should his answer be? if carl is incorrect, what is the correct proportion and answer?.
Carl is correct the value of x by using the side splitter theorem is 6
[tex]\frac{6}{3} = \frac{12}{x}[/tex]
Required
Is Carl correct?
The side splitter theorem is a theorem that states that when a line passes through the two sides of a triangle and is parallel to the third remaining side, the line divides the two sides proportionally.
Using the side splitter theorem, the proportion is:
[tex]\frac{AB}{BC} = \frac{AE}{ED}\\[/tex]
This gives:
[tex]\frac{6}{3} = \frac{12}{x}[/tex]
This proportion is equivalent to Carl's.
Hence, Carl is correct.
Solving further: Cross Multiply
6 * x = 12 * 3
6x = 36
Make x the subject
[tex]x=\frac{36}{6}[/tex]
x =6
Carl is correct the value of x by using the side splitter theorem is 6
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Zoe and Hannah hare tip in the ratio of 3:7, lat week Zoe recieved £24
How much did Hannah receive lat week?
Answer:
£56
Step-by-step explanation:
We know
The ratio Zoe and Hannah hare tip is
3:7
last week Zoe received £24
To find out how much did Hannah receive last week, we first take
24 / 3 = 8
Then we take
8 times 7 = £56
So, last wee Hannah receive £56
What is the solution to the equation 1 h 5 2 h 5?.
The solution to the equation 1 h 5 2 h 5 is 7.
In this case option A is correct
The solution can be obtained by following steps-
The given equation is the least common multiple of the denominators, which we multiply through to obtain, and then we eliminate common factors to obtain. Multiply 1 h5 1 h - 5 by h+5 h+5 h+5 h + 5 h + 5 to create a fraction with a common denominator. Multiply 2 h+5 by h+5 h+5 h- 5 h- 5 to get 2 h+5 written as a fraction with a common denominator.We group like terms to get, we expand the brackets to get, this simplifies to, we now divide through by three to get,
[tex]h+ 2h= 16-5+ 10\\3h= 21\\h=7[/tex]
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What is the solution to the equation 1 h 5 2 h 5?.
7890____ is standard deviation a measure of center or a measure of variation
Standard deviation is a measure of variation.
The degree of variance or dispersion in a set of data values is measured statistically using the standard deviation. It reveals how far the data values differ from the data set's average. Data points tend to be close to the mean when the standard deviation is low, and are dispersed over a larger range when the standard deviation is high.
While measurements of the centre, such as mean, median, and mode, are used to describe a data set's central tendency. The median is the midway value when a data set is ordered, and the mode is the value that appears in a data set the most frequently. The mean is the sum of the data divided by the number of observations.
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