Answers
Answer:
Step-by-step explanation:
90-2(a-3)^2
=88{(a)^2-2*a*3+(3)^2]
=88[a^2-6a+9}
=88a^2-528a+792
Related Questions
find the slope from this table:
Answers
Answer:
-3-1 -2-+1
Step-by-step explanation:
-4/-3
4/3 as minus get canceled with minus
robert is at the movies with his girl, Maliyah. He has a coupon good for Buy One, Get One Free for a medium popcorn, p. If he buys his popcorn for full price, p, what will he pay for Maliyah’s popcorn?
HELPPP MEH PLEASE
Answers
Answer:
well if he has a coupon for a BOGO of buy one get one free then if he pays full price for his then redeems the code then he should get the second one free
did you know that 100-200 high frequency words account for approximately 50% of words used in school texts? out of that list of high frequency words, almost 25% are permanently irregular. this is why it is imperative that we explicitly teach these words to our students.
Answers
Yes, it is widely known that 100-200 high-frequency words account for about 50% of the words used in school texts. This highlights the importance of explicitly teaching these words to students in order to improve their reading fluency and comprehension.
Among these high-frequency words, almost 25% are permanently irregular, meaning that they do not follow standard spelling and pronunciation rules. This makes it even more important for students to learn these words through direct and systematic instruction, as they can greatly impact their reading and writing abilities. By focusing on these high-frequency words, educators can help students build a strong foundation of vocabulary knowledge, which can lead to improved reading outcomes and success in school.
Find more about Frequency
brainly.com/question/25567167
#SPJ4
much help needed ;;
question attached below
Answers
Answer: f(x)+3
Step-by-step explanation:
g is 3 units ABOVE f. Therefore, f(x)+3 is the only answer, since f(x+3) would only shift the graph to the left, f(x-3) would shift the graph to the right, and f(x)-3 would translate the graph 3 units DOWN, not up. So, the correct answer is f(x) + 3
A rectangle has sides of x and (x-2) cm.
The area of the rectangle is 3cm2
х
x-2
Show that (x - 1)2 - 4 = 0
Answers
Step-by-step explanation:
A rectangle has sides of x and (x-2) cm
Area = 3cm²
x(x-2)=3
x²-2x-3=0
BY USING COMPLETING THE SQUARE METHOD
[x²-2(x)(1)+1²] -1² -3=0
(x - 1)² - 1-3=0
(x-1)²-4=0
Pierre de fermat a 17th century french lawyer stated that any whole number can be written as the sum of four or less square numbers for example 15 equals three squared +2 squared plus one squared plus one squared express 61 as such a sum
Answers
61 is the sum of two consecutive integers (-6,-5 ) and (5,6).
According to Pierr De Fermat any whole number writteen as the sum of four or less square numbers.
So 61 is the whole number so we can write in the sum of squares,
Now we know even+odd=odd so that let a and a+1 integer , according to Pierr De Fermat we can write,
a²+(a+1)²=61;
⇒a²+a²+2a+1=61
⇒2a²+2a-60=0
⇒a²+a-30=0 (∵divided by 2)
⇒a²+6a-5a-30=0
⇒a(a+6)-5(a+6)=0
⇒(a+6)(a-5)=0
⇒a+6=0 or a-5=0 ⇒a=-6 or a=5
If a=-6 then a+1=-6+1=-5.
if a=5 then a+1=5+1= 6.
so 61= (-6)²+(-5)² and 61= 6²+5².
To know more about Consecutive Integers, Here
https://brainly.com/question/29354311
#SPJ4
A trapezoids as bases has leghts 30 and 44. Find the trapezoid's height if its area is 518
Answers
The height of the trapezoid is 14 units.
We need to find the height of a trapezoid which has given lengths of its bases and the area.
Area = (1/2) × (sum of the bases)×height
The area is given as 518, and the lengths of the bases are 30 and 44.
Plug in these values.
518 = (1/2) × (30 + 44) × height
518 = (1/2) × 74 × height
Now, let's solve for the height:
518 = 37 × height
Divide both sides by 37:
height = 518 / 37
height = 14
Therefore, the height of the trapezoid is approximately 14 units.
To learn more on Area click:
https://brainly.com/question/20693059
#SPJ1
Chris purchased a video game for the sale price of $35, not including tax. It had been discounted 30%. What was the original price of the game?
Answers
Answer:
$50
Step-by-step explanation:
To find the original price, divide the new price by the 0.7, since the discount was 30%:
35/0.7
= 50
So, the original price of the game was $50
Answer:
$50
Step-by-step explanation:
.3 multiplied by 50= 15, then add 15 to 35 to get 50
Don’t mind wat I clicked I don’t know if it’s right but please help
Answers
Answer:
y = 5x
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
For every 1 the x goes right, the y goes up 5
The radian measure of an angle θ is the length of thea) opposite sideb) diameter c) hypotenused) arc that subtends the angle in a circle of radius pi141/2pi/2
Answers
The radian measure of an angle theta is the length of the arc that subtended angle 2Pi
We can measure angles in two forms degrees or Radians.
Radian can be described as a measure of the angle subtended by a circular arc. It can be defined as the ratio of the arc length subtending angle to the radius of the circle.
One radian is the measure of the angle subtended by an arc that is equal to the radius of the circle.
Therefore, the radians measure an angle theta the length of the arc.
Θ =s/r ,
where theta is the angle subtended, s is the arc length and r is the radius of the circle.
We know that the 2π radians = 360 degrees.
That subtends the angle in a circle of radius 2Pi
Therefore, The radian measure of an angle theta is the length of the arc that subtended angle 2 Pi
To learn more about the radian and degrees:
https://brainly.com/question/5563109
#SPJ4
Which one?
A. B. C. Or D.
Answers
Answer:
D
Step-by-step explanation:
Given
a² - 1 = 0 ( add 1 to both sides )
a² = 1 ( take the square root of both sides )
a = ± \(\sqrt{1}\) = ± 1
solution is { 1, - 1 } → D
Answer:
D) {1, -1}
Step-by-step explanation:
Please share the instructions for this problem: Solve a^2 - 1 = 0, or find the roots of a^2 - 1 = 0.
Answer D is correct. Try substituting 1 for a, and then -1 for a. In both cases the given equation is true.
Which expression is equivalent to 6(2x-8) *
A : 12x+48
B: 12x-8
C: 12x-48
D: 2x-48
Answers
Answer:
C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
6(2x-8)
6 * 2x = 12x
6 * -8 = -48
12x - 48
which expression is equivalent to 1/1-2sin^2(x)?
a. 1/cos(2x)
b. 1/sin(2x)
c. cos(2x)
d. sin(2x)
Answers
Answer:
a) \(\frac{1}{cos(2x)}\)
Step-by-step explanation:
Answer: a) 1/cos(2x)
Step-by-step explanation:
Edge:))
Find the present value of $3,200 under each of the following rates and periods: (Round intermediate calculations to 6 decimal places, e.g. 2.512512 and round final answer to 2 decimal places, e.g. 2,515.25.) a. 9.0 percent compounded monthly for five years. Present value $ b. 6.6 percent compounded quarterly for eight years. Present value $ c. 4.38 percent compounded daily for four years. Present value $ d. 5.7 percent compounded continuously for three years. Present value $
Answers
To find the present value of $3,200 under different interest rates and periods, we can use the formula for present value in compound interest calculations:
PV = FV / (1 + r)^n
Where PV is the present value, FV is the future value, r is the interest rate per compounding period, and n is the number of compounding periods.
a. At 9.0 percent compounded monthly for five years:
PV = 3200 / (1 + 0.09/12)^(5*12) ≈ $2,206.96
b. At 6.6 percent compounded quarterly for eight years:
PV = 3200 / (1 + 0.066/4)^(8*4) ≈ $2,137.02
c. At 4.38 percent compounded daily for four years:
PV = 3200 / (1 + 0.0438/365)^(4*365) ≈ $2,275.33
d. At 5.7 percent compounded continuously for three years:
PV = 3200 / e^(0.057*3) ≈ $2,189.59
Therefore, the present values are:
a. $2,206.96
b. $2,137.02
c. $2,275.33
d. $2,189.59
Learn more about Compounding here
https://brainly.com/question/15275727
#SPJ11
what is the answer on the picture?
Answers
Answer:
......
Step-by-step explanation:
Explain about Huckel Approximation ( the introduction to the method including secular equation and determinant, theory that could be used to evaluate or assumptions, characteristic such as all overlap integrals are set equal to zero etc , the matrix formulation of the huckel method and mustification of the formula).
Answers
The Hückel method makes several assumptions:
1. π-electrons are the only electrons of interest in the molecule.
2. The π-electrons are delocalized over the conjugated system.
3. All overlap integrals between atomic orbitals (AOs) are set to zero except for adjacent carbon atoms.
4. The π-electrons experience a constant effective potential throughout the molecule, which approximates the average potential felt by the electrons.
5. The wavefunction of each π-electron can be approximated as a linear combination of atomic orbitals.
The Hückel method is based on the secular equation, which relates the molecular orbital energies to the coefficients of the linear combination of atomic orbitals. The secular equation can be written as:
det(H - E*S) = 0
In this equation, H is the Hamiltonian matrix representing the energy of the molecular orbitals, E is the energy eigenvalue (molecular orbital energy), and S is the overlap matrix representing the overlap between atomic orbitals. The determinant of the matrix equation determines the eigenvalues (energies) of the molecular orbitals.
The matrix formulation of the Hückel method can be written as:
H * C = E * S * C
In this equation, H is the Hückel matrix, C represents the coefficient vector of the linear combination of atomic orbitals, E is the eigenvalue (molecular orbital energy), and S is the overlap matrix.
The justification for the Hückel method comes from the fact that for conjugated π-electron systems, the interactions between adjacent carbon atoms dominate the electronic structure. By neglecting overlap integrals between non-adjacent atoms and considering a constant effective potential, the Hückel method simplifies the calculations while still providing reasonable approximations for the electronic properties of these systems.
The Hückel method has been widely used in the field of theoretical organic chemistry to predict and understand the behavior of conjugated systems, such as aromatic compounds and conjugated polymers. It provides insights into molecular orbital energies, bond orders, and aromaticity, helping in the interpretation of chemical reactivity and stability of these systems.
Point Z is equidistant from the sides of ARST. C R Z A B S Which must be true? A. SZ&TZ
B. RZ =R BZ
C. CTZ = ASZ
D. ASZ=ZSB
Answers
Answer:
B. RZ =R BZ
Step-by-step explanation:
Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.
Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.
Answer: vv
Step-by-step explanation:
Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.
Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.
Now, let's examine the options:
A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.
B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.
C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.
D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.
Therefore, the only statement that must be true is option B: RZ = RB.
The initial population of bacteria in a culture is 250. The population after
10 hours is double the population after 1 hour. Use an exponential growth model to determine the population after 6 hours.
Answers
The population of bacteria after 6 hours, would be 397 bacteria.
How to find the population ?The general form for the exponential growth model is:
P(t) = P0 x e^(rt)
P0 is observed at 250 in population. Additionally, the population experiences twice as much growth over a span of 10 hours compared to growth within an hour. To determine the growth rate, r, we can uncover P(6), the population after six hours.
P(10) = 250 × e^(r × 10)
P(1) = P(10) / 2
P(10) / 2 = 250 × e^(r)
(250 × e ^ ( 10 × r) ) / 2 = 250 × e ^r
e^ ( 10 × r) / 2 = e^r
9r = ln(2)
r = ln (2) / 9
Now that we have the growth rate, r, we can find the population after 6 hours, P(6):
P(6) = 250 × e ^ ( r × 6 )
P(6) = 250 × e ^ ( ( ln ( 2 ) / 9)× 6)
P(6) = 397 bacteria
Find out more on population at https://brainly.com/question/30300156
#SPJ1
A researcher believes that on average, the span (distance from thumb to finger) of a person’s dominant hand is greater than that of their non-dominant hand. To investigate her belief, she randomly sampled 35 individuals for the study. She measured and recorded the spam (in centimetres) of both the dominant and the non-dominant hands of each of the individuals in the study. WHICH of these statistical techniques would be the MOST appropriate?
A researcher believes that on average, the span (distance from thumb to finger) of a person’s dominant hand is greater than that of their non-dominant hand. To investigate her belief, she randomly sampled 35 individuals for the study. She measured and recorded the spam (in centimetres) of both the dominant and the non-dominant hands of each of the individuals in the study. WHICH of these statistical techniques would be the MOST appropriate?
ANOVA
Paired samples t test
Independent samples t test
Wilcoxon’s matched pairs sign rank test
Mann-Whitney U test
Answers
The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.
To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.
The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.
The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:
- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.
- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.
- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.
Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.
Learn more about ANOVA at:
https://brainly.com/question/25800044
#SPJ4
A is in the interior of NFL. If m/NFA = 5x+10, m/AFL = 30-2x, and m/NFL = 58°, find the value of x.
Answers
If A is in the interior of NFL. If m/NFA = 5x+10, m/AFL = 30-2x, and m/NFL = 58°, the value of x would be 6
How to determine the valueIt is important to note that the formula for determining the sum of interior angles of a shape is expressed as;
(n-2) 180
Where 'n' is the number of sides
From the information given, we have that the shape has 3 sides, so we have
(3 -2)180
180°
Give the angles as;
m/NFA = 5x+10m/AFL = 30-2x m/NFL = 58°Equate the angles to m/NFL, we have
5x+10 + 30-2x = 58
Now, collect like terms
5x - 2x = 58 - 40
Subtract like terms
3x = 18
Make 'x' the subject by dividing both sides by 3, we have
x = 18/3
x = 6
Thus, the value of 'x' is 3
Learn more about interior angles here:
https://brainly.com/question/24839702
#SPJ1
if the least-squares regression line for predicting y from x is y = 50 – 15x, what is the predicted value of y when x = 3?
Answers
The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.
The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.
To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.
Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.
Learn more about slope of the line here:
https://brainly.com/question/16180119
#SPJ11
Hollie takes out a loan of £800. This debt increases by 26% every year. How much will Hollie owe in 13 years?
Answers
The amount of owing that Hollie in 13 years will be £3739.68.
We know that the compound interest is given as
A = P(1 + r)ⁿ
A = £800\((1 + 0.26)^{13}\)
Simplify the equation, then we have
A = £800 x \((1 + 0.26)^{13}\)
A = £800 x \(1.26^{13}\)
A = 800 × 4.6746
A = 3739.68
Compound interest refers to the interest earned not only on the principal amount of a loan or investment but also on any accumulated interest that has been added to it over time. In other words, the interest is calculated on both the initial amount of money borrowed or invested, as well as on the interest that has accrued on that amount.
This means that as time goes on, the interest earned on an investment or loan can grow exponentially, as the interest earned in previous periods is included in the calculation for future periods. This compounding effect can result in significant growth over long periods of time. compound interest is an essential concept in finance and can have a significant impact on the growth of investments over time.
To learn more about Compound interest visit here:
brainly.com/question/14295570
#SPJ4
Henry rides the same number of miles each day.
After 8 days he has traveled 72 miles.
How many miles does he ride each day?
Answers
Answer:
He rides 9 miles a day
Step-by-step explanation:
72(miles) divided by 8(days) would equal 9 miles per day.
What are the dimensions of the rectangle shown on the coordinate plane?
The base is 5 units and the height is 3 units.
The base is 4 units and the height is 7 units.
The base is 7 units and the height is 5 units.
The base is 7 units and the height is 3 units.
Answers
Work out the area of this shape.
3cm
4cm
7cm
6cm
Answers
Answer: the area of the shape=25.5 cm²
Step-by-step explanation:
This shape is composed of a rectangle and a trapezoid
The area of the rectangle= 3(4)
The area of the rectangle= 12 cm²
\(\displaystyle\\The\ area\ of\ the\ trapezoid=\frac{3+6}{2} (7-4)\\\\The\ area\ of\ the\ trapezoid=\frac{9}{2} (3)\\\\The\ area\ of\ the\ trapezoid=4.5(3)\\\\The\ area\ of\ the\ trapezoid=13.5 \ cm^2\)
The area of the shape=12+13.5
The area of the shape=25.5 cm²
there are 6 students in the class. one of them is to be selected as the best student and another student is to be selected as a runner-up. how many different ways can this be done?
Answers
If there are 6 students and one is selected for best student and another is selected for runner up, then 15 different ways that we can arrange the students
Total number of students in the class = 6 students
Number of students for best student = 1 student
Number of students for runner up = 1 students
Total number of students needed = 2
Here we have to use the combination
6\(C_2\) = 6! / 2!(6 - 2)!
= 6! / 2! × 4!
Split the terms and cancel it
= 6 × 5 / 2 × 1
Multiply the terms
= 30 / 2
Divide the numbers
= 15 combinations
Therefore, there are 15 combinations
Learn more about combination here
brainly.com/question/28720645
#SPJ4
Triangle rst has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. what is the area of triangle rst? round to the nearest square inch.
Answers
The area of the triangle is 94.9 square inches
For given question,
We have been given triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches.
Let x be the third side of ΔRST
⇒ 22 + 13 + x = 50
⇒ x = 50 - 35
⇒ x = 15
Let s = sum of three sides of the triangle / 2
s = (22 + 13 + 15)/2
s = 25
Now using the formula for the area of the triangle,
A = √[s × (s-a) × (s-b) × (s-c)]
Let a = 22 inches, b = 13 inches, c = 15 inches
Substituting the values,
⇒ A = √[25 × (25 - 22) × (25 - 13) × (25 - 15)]
⇒ A = √(25 × 3 × 12 × 10)
⇒ A = √9000
⇒ A = 94.9 square inches
Therefore, the area of the triangle is 94.9 square inches
Learn more about the area of the triangle here:
https://brainly.com/question/19305981
#SPJ4
The area of triangle rst which have sides 22 inches and 13 inches with perimeter 50 inches is 95 square inches.
We are given that the two sides of the triangle rst are 22 inches and 13 inches respectively. Also perimeter of the triangle rst is 50 inches.
We have to find the area of triangle to the nearest square inches.
Let the third side of the triangle rst be x.
Hence,
22 + 13 + x = 50 inch
35 + x = 50 inch
x = 50 - 35
x = 15 inches
Hence, the third side of the triangle is 15 inches.
We will use the Heron's formula here to find the area of the triangle.
Heron's formula = \(\sqrt{s(s-a)(s-b)(s-c)}\)
Here,
s = Semi- perimeter
a, b, and c are sides of the triangle.
Hence,
\(s=\frac{50}{2} \\\\s=25 inches\)
a = 22 inches
b = 13 inches
c = 15 inches
Hence,
Area of the triangle rst = \(\sqrt{25(25-22)(25-13)(25-15)}\\\\ \sqrt{25(3)(12)(10)} =\sqrt{5*5*3*3*2*2*5*2}=5*3*2\sqrt{5*2}=30\sqrt{10}\)
We know that,
\(\sqrt{10}\) ≈ 3.162277
Hence,
\(\sqrt{10} * 30\) ≈ 94.86831 ≈ 95 square inches.
To learn more about Area of triangle, here
https://brainly.com/question/20934807
#SPJ4
Write the first trigonometric expression in terms of the second expression. Cot(x); sin(x)
Answers
The first trigonometric expression cot x and sin x in terms of the second expression is one over tan x and one over cosec x.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Write the first trigonometric expression in terms of the second expression.
The cotangent can be written as
\(\cot x= \dfrac{1}{\tan x}\)
And the sine can be written as
\(\sin x = \dfrac{1}{\csc x}\)
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ4
The Venn diagram below contains the whole numbers 1-16. Whole Numbers 1-16 A Odd Numbers Numbers divisible by 3 13.5 3,9,153,6,9,15
Which of the following lists names the numbers that would be located in section A?
F. 1, 3, 6, 9, 12, 15
G. 3, 6, 9, 12, 15
H. 3,9, 12
J. 3, 9, 15
Answers
Step-by-step explanation:
In this section we introduce the ideas of sets and Venn diagrams. A set is a list of objects in no particular order; they could be numbers, letters or even words. A Venn diagram is a way of representing sets visually.
To explain, we will start with an example where we use whole numbers from 1 to 10.
We will define two sets taken from this group of numbers:
Set A = the odd numbers in the group = { 1 , 3 , 5 , 7 , 9 }
Set B = the numbers which are 6 or more in the group = { 6 , 7 , 8 , 9 , 10 }
Some numbers from our original group appear in both of these sets. Some only appear in one of the sets.
Some of the original numbers don't appear in either of the two sets. We can represent these facts using a Venn diagram.
The two large circles represent the two sets.
The numbers which appear in both sets are 7 and 9. These will go in the central section, because this is part of both circles.
The numbers 1, 3 and 5 still need to be put in Set A, but not in Set B, so these go in the left section of the diagram.
Similarly, the numbers 6, 8 and 10 are in Set B, but not in Set A, so will go in the right section of the diagram.
The numbers 2 and 4 are not in either set, so will go outside the two circles.
The final Venn diagram looks like this:
We can see that all ten original numbers appear in the diagram.
The numbers in the left circle are Set A
{ 1 , 3 , 5 , 7 , 9 }
The numbers in the right circle are Set B
{ 6 , 7 , 8 , 9 , 10 }
In the rest of this section you will practise filling in Venn diagrams and using them.
The intersection of sets A and B is those elements which are in set A and set B. A diagram showing the intersection of A and B is on the left.
The union of sets A and B is those elements which are in set A or set B or both. A diagram showing the union of A and B is on the right.
What is the median of this data set?
Answers
The median of the given data set as required to be determined in the task content is; 4.
What value represents the median of the data set?It follows from the task content that the value which represents the median of the data set is to be determined.
By observation, the number of data values in the data set is; 15. On this note, the median value would be the eighth term in an orderly arrange of the values.
Consequently, the median of the data set as required is; 4.
Read more on median of dot plot;
https://brainly.com/question/16800683
#SPJ1