The range is the set between all of the possible output values, which always shown on y-axis by identify any given domain and then finding the range of any functions is by taking graphs into consideration.
To discover the area and variety, we without a doubt remedy the equation y = f(x) to decide the values of the unbiased variable x and gain the area. To calculate the variety of the feature, we without a doubt explicit x as x=g(y) after which discover the area of g(y).
Because the area refers back to the set of viable enter values, the area of a graph includes all of the enter values proven at the x-axis. The simplest approach of locating the variety of a feature, say y = f(x), is to explicit x as g(y) and pick out the area set for g(y). This might be the variety for the given feature f(x).
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Drag values to complete each equation.
From power rules, the equation [tex](x^2)^{-2}+x^4*x^5[/tex] is represented by [tex]\frac{1}{x^4} +x^9[/tex] and the [tex]\frac{x^2}{x^4} -(x^2)^2[/tex] is represented by [tex]\frac{1}{x^2} -x^4[/tex].
Power RulesKnowing some of the main power rules.
Multiplication with the same base: you should repeat the base and add the exponents.Division with the same base: you should repeat the base and subtract the exponents.Power. For this rule, you should repeat the base and multiply the exponents.Exponent negative - For this rule, you should write the reciprocal number with the exponent positive.Zero Exponent. When you have an exponent equal to zero, the result must be 1.For solving this question, you should identify which power rules you will apply and after that solve the expression.
The question gives two algebraic expressions.
(1) [tex](x^2)^{-2}+x^4*x^5[/tex]
(2) [tex]\frac{x^2}{x^4} - (x^2)^2[/tex]
Equation 1 - [tex](x^2)^{-2}+x^4*x^5[/tex]The rules that you will be applied are: multiplication, power and exponent negative.
[tex](x^{-4})+x^9[/tex]= [tex]\frac{1}{x^4} +x^9[/tex]
Equation 2 - [tex]\frac{x^2}{x^4} -(x^2)^2[/tex]The rules that you will be applied are: division, power and exponent negative.
[tex]\frac{x^2}{x^4} -(x^2)^2=x^{-2}-x^4=\frac{1}{x^2} -x^4[/tex]
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What are the steps of adding two rational expressions?.
Two rational expressions with the same denominator can be added or subtracted by adding or subtracting the numerators, then writing the result over the shared denominator.
What actions must be taken to include rational expressions?There are four steps involved in adding or subtracting rational expressions:
All fractions should be expressed as equivalent fractions with the same denominator.Add the fractions together to form a fraction with a common denominator.Reduce the complexity of the fraction's top expression.Lower the fraction to its simplest form.How can I add two rational expressions using an illustration?For any value that renders either of the original rational expressions undefinable, the product of two rational expressions is, in general, undefinable.
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Suppose that h(x) varies directly with x and h(x)=44 when x = 2. What is h(x) when x = 1. 5?.
The required value of of the given relation at x = 1.5 9 is 33.
What id directly proportional?Two qualities x and y are supposed to be directly proportional to one another when the proportion x:y consistently continues as before. Model : On the off chance that we purchase two pen for 50 Rs. It will cost us 100 Rs for four pen. Two qualities x and y are supposed to be conversely corresponding to one another when the proportion x:y1 consistently continues as before.
According to question:Let h(x) = kx where x is constant
Then, h(x)= 44, x=2
44 = 2k
k = 22
Now, the relation is h(x) = 22x
At x = 1.5, value of h(x)
h(x) = 22(1.5)
h(x) = 33
Thus, required value of h(x) is 33
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the perimeter of the trapezoid is 25 ft. calculate its area
Answer: 30
Step-by-step explanation:
Decribe the likelihood of the event. There i a 0% chance the earth i the cloet planet to the un
The planet that is closet to the sun is Mercury. Then it is Venus, Earth,Mars, Jupiter, Saturn, Uranus, Neptune.
So likely it is 0% chance the earth is the closet planet to the sun.
The probability of an event occurring is intuitively understood to be the likelihood or chance of it occurring.
The higher the probability number or percentage of an event the more likely is that the event will occur is known as likelihood of an outcome.
We can use the following steps to calculate the probability of an event.
Step 1:- Identify an event with one result.
Step 2:- Identify the total number of results or outcomes and favorable outcomes that can occur.
Step 3:- Divide the number of favorable outcomes by the total number of possible outcomes.
Give question is incomplete.
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If the simple interest on $4000 for 5 years is $1,200 then what is the interest rate?
The interest rate if the simple interest on $4000 for 5 years is $1,200 is 30%
How to determine the interest rateThe formula for calculating the simple interest is expressed as;
I = PRT/ 100
Where;
I is the simple interestP is the principal amountR is the interest rateT is the time in yearsNow, let's substitute the values into the formula, we have;
$1200 = $4000 × R × 5/ 100
cross multiply
$120000 = $4000 × R
Divide both sides by the coefficient of R
R = $120000/$4000
R = 30%
Hence, the value is 30%
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A square room has a floor area of 25 square feet. The height of the room is 6 feet.
The area of the rectangle wall is 30 square feet.
This room has a floor area that is square in shape. Square is defined as an object with equal sides of length and width. Given that the the floor area is 25 square feet, we can figure out the length and width by the following formula and calculation:
Given that (A) is area of a square, and (a) is the equal sides of a square
A = a²
25=a²
[tex]\sqrt{25} = a[/tex]
5 = a
Therefore each of the side of the floor is 5 feet.
Now that we know that the side of the of the square floor is 5 feet in length, given that the height of the room is 6 feet, we can then calculate the area of the rectangle wall with the following formula and calculation:
Area = width × height
Area = 5×6
Area = 30 square feet
Therefore the area of the wall is 30 square feet.
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Your question seems to be missing but I assume your complete question was:
"A square room has a floor area of 25 square feet. The height of the room is 6 feet. What is the area of the wall?"
suppose researchers marked 800 turtles and later were able to trap a total of 300 individuals in that population, of which 200 were marked. what is the estimate for total population size?
Using Marked recapature formula for estimation on population size we get,
the estimate for total population size is 1200.
Marked recaputure Method :
first step is to capture and mark a sample of individuals. The assumption behind mark-recapture methods is that the proportion of marked individuals recaptured in the second sample represents the proportion of marked individuals in the population as a whole. In algebraic terms,
R/S = M/N
where R --> second time marked
S---> size of sample second time
N --> estimate population size
M ---> Marked in start point
We have given that ,
Total marked turtles by researchers (M) = 800
Second time total sample size (S) = 300
second time marked turtles(R) = 200
we have to find out estimate for total population size .
For this , Mark -Recapture method is very efficient to calculate estimate for total population size.
putting all known values in above formula we get, R/S = N/M
=> 200/300 = 800/N
=> 800× 300 = N× 200
=> N × 200 = 240000
=> N = 240000/200
=> N = 1200
so, the estimate for total population size is 1200.
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a bag contains 4 red and 2 blue marbles. three marbles are selected simultaneously. determine the probability that only two are red
Probability to determine only two marbles are red is equal to 0.6.
As given in the question,
Total number of given red marbles in a bag = 4
Total number of given blue marbles in a bag = 2
Number of marbles selected simultaneously from the bag = 3
Condition : Only two marbles are red
Out of 3 marbles to be selected if 2 are red then 1 has to be blue
Probability of taking out 3 marbles where only 2 are red
= ( ⁴C₂ × ²C₁ ) / ⁶C₃
= [4!/ (4-2)!2! ] × [ 2!/ ( 2- 1)!1! ] / 6! / (6-3)!3!
= ( 4 )( 3 ) / ( 5 )( 4)
= 12 / 20
= 0.6
Therefore, probability of selecting three marbles out of 6 with only 2 are red is 0.6.
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the printed area of a rectangular poster is 384 cm2, with margins of 4.00 cm on each side and margins of 6.00 cm at the top and bottom. find the dimensions of the poster with the smallest area.
The dimensions of the poster with the smallest area is 24 x 36.
Let's let "W" be the overall width of poster and "H" be the overall height of the poster.
A = H•W
The area of the printed material is 384.
The width of the printed material is W - 4(2) or W - 8.
The height of the printed material is H - 6(2) = H - 12.
So the area of the printed material is (W - 8)(H - 12) and that equals 384
(W - 8)(H - 12) = 384
WH - 12W - 8H + 96 = 384
W(H - 12) - 8H = 288
W = (288 + 8H)/(H - 12)
the area equation (A = H•W), we get:
A(H) = H(288 + 8H)/(H - 12)
A(H) = (288H + 8H2)/(H - 12)
To find the minimum, take the derivative and set it equal to zero.
To take the derivative, we must use the quotient rule
If f(x) = u/v then f '(x) = (u'v - uv')/v2
In this case u = 288H + 8H2 so u' = 288 + 16H
and v = H - 12 so v' = 1 and v2 = (H - 12)² so
A'(H) = [(288 + 16H)(H - 12) - (288H + 8H2)(1)]/(H - 12)²
A'(H) = (288H - 3456 + 16H2 - 192H - 288H - 8H2)/(H - 12)²
A'(H) = (8H² - 192H - 3456)/(H - 12)²
A'(H) = 8(H² - 24H - 432)/(H - 12)²
Setting it equal to zero:
8(H² - 24H - 432)/(H - 12)² = 0
(H² - 24H - 432)/(H - 12)² = 0 This can only be zero if the numerator is zero so:
H² - 24H - 432 = 0
(H - 36)(H + 12) = 0
H = 36 or H = -12
We can neglect the negative answer since the poster can't be a negative height so H = 36. Since H = 36, and we know that W = (288 + 8H)/(H - 12), we can solve for W:
W = (288 + 8(36))/(36 - 12)
W = 24
H = 36
Therefore, the dimensions of the poster with the smallest area is 24 x 36.
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a family has two children. if the genders of these children are listed in the order they are born, there are four possible outcomes: bb, bg, gb, and gg. assume these outcomes are equally likely. let x represent the number of children that are girls. find the probability distribution of x. part: 0 / 20 of 2 parts complete part 1 of 2 (a) find the number of possible values for the random variable x. there are possible values for the random variable x.
The distribution of the probability of each outcome is
P(X = 0) = 0.25
P(X = 1) = 0.5
P(X = 2) = 0.25
Given that,
A family consists of two kids. There are four alternative results if the genders of these kids are stated in the order they are born: bb, bg, gb, and gg. Assume that these results are equally probable. Let x be the proportion of girls among all children.
We have to find the complete part 1 of 2 by finding the probability distribution of x. part: 0 / 20 of 2 parts
We know that,
What is a probability?A probability is obtained by dividing the number of desired outcomes by the total number of outcomes.
The chance of each result is represented by the distribution, so
P(X = 0) = 1/4 = 0.25
P(X = 1) = 2/4 = 0.5
P(X = 2) = 1/4 = 0.25
Therefore, The distribution of the probability of each outcome is
P(X = 0) = 0.25
P(X = 1) = 0.5
P(X = 2) = 0.25
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Kory ha a collection of 314 ticker organized in a ticker book. There are 7 ticker on each page. How many page of the album have exactly 7 ticker? thi i a diviion problem
There will be 44 pages have exactly 7 stickers on each.
We know that Kory has a total of 314 stickers and he has to paste 7 stickers per page on a ticker book. So, for this, we have to divide the 314 stickers by the 7 per page. We can find the solution by using a simple Division Method. Given below is the calculation.
Let's suppose,
Total Stickers Available = x = 314
Stickers per page = y = 7
Total pages having 7 stickers = P =?
So we can find P by the following equation:
P = [tex]\frac{x}{y}[/tex]
P = [tex]\frac{314}{7}[/tex]
Total pages having 7 stickers = P = 44.86 Pages.
So, the Exact Pages having 7 stickers will be 44.
Also, we can see the remaining stickers by the given details.
Let's suppose,
Total Exact stickers to be pasted = z
We can find Z by the given equation
z = P x y
= 44 x 7
= 308
Remaining Pages will be = x - z = 314 - 308 = 6
So, 308 pages would be pasted as 7 per page and the remaining stickers will be 6.
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Find the exact location of all the relative and absolute extrema of the function.] (Order your answers from smallest to largest x.)
f(x) = x4 − 8x3 with domain [−1, +[infinity])
f has (select)(a relative minimum, a relative maximum, an absolute minimum, an absolute maximum, no extremum,) at (x, y) = ____________
f has (select)(a relative minimum, a relative maximum, an absolute minimum, an absolute maximum, no extremum,) at (x, y) = ____________
Responses interval : (-1, -32) for the absolute minimum; (0, 0) for the relative maximum; (2, -32) for the absolute minimum; (+, +) for the absolute maximum (or "no absolute maximum")
Detailed explanation:
Extremes will occur at the domain interval's ends and at turns when the first derivative is zero.
It is the derivative.
h'(t) = 24t^2 -48t = 24t (t -2)
The extremes will be at t=0 and t=2, when there are zeros.
By evaluating the function at the endpoints of the interval and at the turning points, we can identify relative and absolute extrema.
h(-1) = 8(-1) (-1)
²(-1-3) = -32\s h(0) = 8(0)(0-3) = 0\s h(2) = 8(2²)(2 -3) = -32\s h(∞) = 8(∞)
³ = ∞
At t=-1 and t=2, the absolute minimum is found to be -32. The greatest value is, which is located at time t. At t=0, the relative maximum is zero, or 0.
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How do I solve this?
The number equivalent to the expression is 6(2f+1)
What is an expression ?
A mathematical expression is a phrase that includes at least two numbers or variables, at least one math operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
Mathematical operators like addition, subtraction, multiplication, and division are used to write an expression using numbers or variables. For instance, the expression for the mathematical formula "4 added to 2" will be 2+4.
To find the equivalent of the expression 12f + 6 is we take the common value out factorize it
12f+6
6(2f + 1)
This is the expression that is equivalent
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Is construction of a triangle with sides 8 cm 4 cm 4 cm possible?.
Answer:
No, a triangle cannot be created with these measurement.
Step-by-step explanation:
It must follow these rules:
a + b > c
b + c > a
a + c > b
How many prime numbers are a multiple of 5?.
The prime multiples of 5 is number 5
The multiples of 5 are 1, 5.
The prime numbers are the numbers who can be divided only by 1 and itselves.
First we need the multiplies of 8
And then find their factors, if the number of factors is exactly two( that is 1 and the number itself) then it is prime.
The factors of 1 is 1
The factors of 5 are 1 and 5
The numbers which have only two factors are prime.
5 [s the prime multiples of 5
Therefore, the number 5 is the only prime number multiple of 5
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Marvin had 2 spools of thread. Each spool contained 10 1/2 yards of thread. Marvin used 4 yards from each spool. How many yards of thread did Marvin have left
The number of threads Marvin have left is 13 yards of thread
How to find the yards of thread Marvin have leftIf each spool thread is 10.5 yards 2 spools of thread will contain how many yards
= 10.5 * 2
= 21 yards
Marvin used 4 yards from each, hence Marvin used a total of 2 * 4 = 8 yards from the 2 spools of thread
The number of yards remaining is found by subtraction
= 21 - 8
= 13 yards
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Toby earn 1. 75% commiion on all ale at the electrical good
tore where he work. If Toby earn $35 in commiion on the
ale of one televiion, how much did the TV ell for?
By using percentage, it can be calculated that
Toby sold the television for $2000
What is percentage?
Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage. For example 7% means [tex]\frac{7}{100}[/tex]
Here 7 can be expressed as a fraction of 100
This is a problem on percentage
Let Toby sold the Television for $x
Percentage commission for Toby = $1.75%
Commission for Toby = $[tex]\frac{1.75}{100} \times x[/tex]
By the problem,
[tex]\frac{1.75}{100} \times x = 35\\x = \frac{35 \times 100}{1.75}[/tex]
x = $2000
Toby sold the television for $2000
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hurry please answer!!!
The gas used and miles are proportional for each scooter.
What is proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent.
A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:
y = k x
for some constant k , called the constant of proportionality .
Therefore, let's check whether the scooter A and scooter B shows proportional relationships.
Hence,
For scooter A:
y = kx
where
x = miles coveredy = gas usedTherefore,
2 = 150 k
k = 2 /150
k = 1 / 75
Hence,
y = 1 / 75 x
From the table of scooter A, the ratio is constant, therefore, the relationships of gas used and distance covered is proportional for scooter A.
For the Scooter B the graph is also proportional because the ratios of the variables are constant.
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The American Water Works Association reports that the per capita water use in a single-family home is 77 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Twenty-eight owners responded, and the sample mean water use per day was 73 gallons with a standard deviation of 7.6 gallons per day.
At the 0.10 level of significance, is that enough evidence to conclude that residents of Legacy Ranch use less water on average?
a. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Reject H0: ? ? 77 and fail to reject H1: ? < 77 when the test statistic is (Click to select)less thanmore than .
b. The value of the test statistic is . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
c. What is your decision regarding H0?
Fail to reject
Reject
a) Decision rule: t less than -1.314
b) Test statistics = -2.785
c) Reject H0
What is standard deviation?
The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.
Given: The American Water Works Association reports that the per capita water use in a single-family home is 77 gallons per day.
Legacy Ranch is a relatively new housing development.
The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences.
(a) So, the decision rule is,
t is less that -1.314.
(b) Test statistics = (73 - 77) / (7.6 / √28)
Test statistics = -2.785
(c) The decision regarding H0 is, Reject H0.
Hence,
a) Decision rule: t less than -1.314
b) Test statistics = -2.785
c) Reject H0
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How do you graph the equation y 3x 7?.
The graph is in the image uploaded.
Given equation:
y = 3x-7
compare this with standard equation y =mx+b
so slope m = 3
y-intercept b = -7
so the point is (0,-7)
Table:
x y
1 -4
0 -7
we can plot the graph with two points.
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The table shows the cost of various expenses rosaria expects to pay for one year at a private four-year college while living on campus. Category amount tuition $36,259 room/board $12,258 books/lab fees $1,988 how much should rosaria expect to pay? $.
Expected payment for Rosaria is $202,020.
Unitary method: what is it?The Unitary Method is the process by which we first determine the value of a single unit and then the value of the necessary number of units.
In the question asked Rosaria has three expenses to pay,
Rosaria will be required to pay,
$36,259 in tuition for one year.
Room and board cost $12,258.
$1,988 is the cost of the books and lab.
Rosaria must therefore pay $50,505 each year, which is equal to $36,259 plus $12,258 plus $1,988.
Rosaria must pay $202,020 over the course of four years since 4 x $ 50,505 = $202,020.
Rosaria therefore expects to pay $202,020.
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Rosaria will pay $202,020.
What is the unitary method?The unitary method is used to find the value of a single unit from a given multiple. For example, if the price of 40 pens is Rs. 400, then how to find the value of one pen here? It can be done using the unitary method. Also, once we have found the value of a single unit, then we can calculate the value of the required units by multiplying the single value unit.
In this,
Rosaria has to pay
Tuition for one-year costs = $36,259.
Room and board cost = $12,258.
Books and lab costs = $1,988.
Rosaria must therefore pay $50,505 each year, as $36,259 + $12,258 + $1,988.
so for four years
4 x $ 50,505 = $202,020.
Rosaria will pay $202,020 for the course of four years.
Therefore expects to pay $202,020.
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What kind of triangle do you have if it has an obtuse angle which measures more than 90 degrees but less than 180 degrees?.
We will have obtuse-angled triangle if it has an obtuse angle which measures more than 90 degrees but less than 180 degrees
What are interior angles?
An Interior Angle is an angle inside a shape.
An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90 degrees.
In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.
Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees. Since, ∠A is 120 degrees, the sum of ∠B and ∠C will be less than 90° degrees.
In the above triangle, ∠A + ∠B + ∠C = 180° (because of the Angle Sum Property)
Since ∠A = 120°, therefore, ∠B + ∠C= 60°.
Hence, if one angle of the triangle is obtuse, then the other two angles with always be acute.
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Is it possible to have a triangle whose sides are 3cm 4cm 9cm?.
The three sides of a triangle that is 3cm, 4cm, and 9cm not of the triangle.
Triangle:
A triangle is a 3-sided polygon sometimes (but not very commonly) called the trigon. Every triangle has three sides and three angles, some of which may be the same
Here we have to find the given three sides of a triangle possible.
The three sides are 3cm, 4cm, and 9cm.
The property of a triangle is that the sum of two sides of a triangle is greater than the third side of a triangle.
The three sides are:
a = 3cm
b = 4cm
c = 9cm
a + b > c
3 + 4> 9
7> 9 which is incorrect
Therefore the three sides in not sides of a triangle.
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What is the y-intercept of F and X?.
According to the y-intercept formula, x = 0 can be used to determine the y-intercept of the function y = f(x). Using this, the point on a graph whose x-coordinate is 0 is said to be the y-intercept of the graph. To get the y-intercept, just locate the point at where the graph crosses the y-axis.
What is Graph?
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
The point where a graph intersects the y-axis is known as the y intercept. Any point on the y-axis has an x-coordinate of 0, as is known. Therefore, a y-intercept's x-coordinate is 0.
This is an illustration of a y-intercept. Think about the line y = x + 3. The point where this graph crosses the y-axis is Therefore, the y-intercept of the line y = x+ 3 is (0,3).
A function's y-intercept is the location on its graph where the y-axis would meet. We may utilize the fact that the x-coordinate of every point on the y-axis is 0 to construct the formula to locate the y-intercept. Specifically, a function's y-intercept has the following form (0, y). The following is the formula to determine the y-intercept:
Here are the methods to determine a function's y intercept: y = f (x),
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One week, Kayden earned $146. 00 at hi job when he worked for 10 hour. If he i paid the ame hourly wage, how many hour would he have to work the next week to earn $43. 80?
i need help on thi one can ome one help me
Kayden has to work 3 hours the next week to earn $43.80.
We have given,
Kay Den worked 10 hours a week for his employer and took home $146. How many hours would he need to work the next week, at the same hourly rate, to make $43.80?
Kayden earned $146 for 10 hours.
If we calculate hourly wages,
Hourly wage of Kayden = [tex]\frac{146}{10}[/tex]
Hourly wage of Kayden = $14.6
If he is paid the same hourly wage,
We have to find, out how many hours will he have to work to earn $43.80
Let, him worked x hours.
14.6x = 43.80
[tex]x=\frac{43.80}{14.6}[/tex]
x = 3
Hence, it takes 3 hours.
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give the circumference of a circle with a radius of 11.2 in. round your answer to the nearest tenth of an inch.
The circumference Of the circle with a radius is 70.336 inch
Describe circumference using an example.
A distance is covered by a boy if he starts jogging from point "A" and arrives at the same spot after going around the park once. The park's circumference, which is the length or limit that surrounds it and is shaped like a circle, is known. The boundary's length is its circumference.
What is the circumference measured in?
A circle's perimeter, or the distance encircling it, is known as its circumference. It has units of measurement like millimeters (mm), centimeters (cm), meters (m), or inches and is represented by the letter C in mathematical formulas. The following equations relate it to the radius, , and pi: C = d. C = 2πr.
Given that:
Radius = 11.2 inch
Circumference = 2πr = 2 x 3.14 x 11.2 = 70.336 inch
Hence the Circumference is 70.336
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How do you write an equation in slope-intercept form that passes through a point and is parallel?.
Equation in slope-intercept form that passes through a point and is parallel is y = mx + y1 - m(x1).
Given:
Let y = mx + b is a line and (x1,y1) be a point .
here slope = m
y - intercept = b
The line parallel to y = mx + b have same slope that is m.
parallel line slope = m
Passes through the point (x1,y1)
y1 = m(x1) + b
b = y1 - m(x1)
substitute b value in y = mx + b
y = mx + y1 - m(x1).
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a researcher has collected the following sample data. 7 14 8 10 7 8 9 7 14 6 the 75th percentile is . a. 7 b. 11 c. 6 d. 9
Third quartile Q₃ of the given data is 11
correct option is: b
What is the 75th percentile value?
0.675
For instance, the median represents the 50th percentile, the first quartile represents the 25th percentile, and the third quartile represents the 75th percentile.
What exactly is Q3?
Q3, the third quartile, is known as the 'upper quartile,' and represents the 75th percentile, which means that only 25% of the values in the set are greater than this value.
given data:
7,14,8,10,7,8,9,7,14,6.
In ascending, order data is 6,7,7,7,8,8,9,10,14,14.
number of terms N = 10
therefore, third quartile Q₃ = [tex]\frac{3}{4} (n + 1)[/tex]
Q₃ = [tex]\frac{3}{4} (10 + 1)[/tex]
Q₃ = 8.25th term
Q₃ = 8th term + 0.25 = 11
therefore, therefore, third quartile Q₃ of the given data is 10
correct option is: b
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is 0.8x+1.5y=-6 a linear function
