Answer:
6 touchdowns
Step-by-step explanation:
You just subtract the (2*3) from the 42 and get 36 than you divide by 6.
What kind of solution is x(5 - 2) = 4x - x
Answer:
x=x or it cancels out, it's one of those.
Volunteers for a political campaign gave out 21/38 of their fliers. They gave out the remaining 612 fliers in another neighborhood. What is the total number of fliers they gave out
Answer:
The total number of fliers the volunteers gave out is 1,368
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Amount of fliers the volunteers gave for a political campaign = 21/38
Remaining 612 were given out in another neighborhood
2. What is the total number of fliers they gave out?
x = Total of fliers
Let's solve for x, this way:
x - 21x/38 = 612
38x - 21x = 612 * 38 (38 is the Lowest Common Denominator)
17x = 23,256
x = 23,256/17
x = 1,368
The total number of fliers the volunteers gave out is 1,368
Can someone help please? I don’t understand this.
Answer:
PS = 28 units.
Step-by-step explanation:
See the attached diagram.
This is a figure of rectangle with length (3y + 3) and width 4y.
Now, the perimeter of the rectangle is 2[(3y + 3) + 4y] = 2(7y + 3)
The perimeter of the rectangle is given to be 104 units.
So, 2(7y + 3) = 104
⇒ 7y + 3 = 52
⇒ 7y = 49
⇒ y = 7
Therefore, PS = 4y = 4(7) = 28 units. (Answer)
kim's hourly wage is $14. she works 37 hours per week. what is her weekly income? what is her monthly income?kim can pay at most 30% of her income on rent. what is the most she can pay for rent every month?
Answer:
Weekly income = $518
Monthly income = $2072
Rent = $621.6
Step-by-step explanation:
$14 per hour
37 hours per week
37 × 14 = $518
There is about 4 weeks in a month.
$518 × 4 = $2,072
30% of $2,072 = $621.6
Step-by-step explanation:
Kim's weekly income can be found by multiplying her hourly wage to the number of hours she works per week.
So, we have $14 * 37 = $518 weekly income.
Let's assume that Kim gets paid bi-weekly like most jobs, so she'll get paid twice a month usually, ignoring all holidays and other exceptions.
So, we have her weekly income and we are assuming she gets paid bi-weekly per month. So, we need to make her weekly income into a bi-weekly income. We just double her weekly income.
$518 * 2 = $1036 bi-weekly.
Now, we know are assuming she gets paid twice a month, so we need to double her income one more time.
$1036 * 2 = $2072 monthly income.
Now, we have her monthly income, but she can only pay 30% of it towards rent. So, we got to find out what is 30% of $2072.
There are a couple of ways to do this, but the most efficient way is to multiply $2072 by .3
So, $2072 * .3 = $621.60
She can only have $621.60 go towards rent. Hope this helps!
GIVING BRAINLIEST Write a proportion that could be used to solve for each variable. Then solve. d dollars for 18.4 quarts 24 dollars for 6 quarts a. 24/d = 18.4/6; d = 7.8 c. d/24 = 18.4/6; d = 73.6 b. d/24 = 18.4/6; d = 72 d. d/24 = 6/18.4; d = 8
Answer:
Hello, I think your answer is d/24 = 18.4/6
Hope This helps
Find the slope of the line below
Answer:
(5,1) (8,5)
(5-1)/(8-5)= 4/3 is the slope
Alan bought two bikes. He sold one to Beth for $300 taking a 25% loss. He also sold one to Greta for $300 making a 25% profit. Did Alan break even? If not, did he have a profit or loss and by how much?
No Alan did not break even
Alan incured a loss of 6.25 %
Solution:
Given that,
Alan bought two bikes
He sold one to Beth for $300 taking a 25% loss
He also sold one to Greta for $300 making a 25% profit
When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss
Which is given as:
[tex]loss\ \% = (\frac{x}{10})^2[/tex]
Here, x = 25
[tex]loss\ \% = (\frac{25}{10})^2\\\\loss\ \% = 2.5^2\\\\loss\ \% = 6.25[/tex]
Thus the loss percentage is 6.25 %
Juliet paid $3.84 in sales tax on an item that cost $48.00 before tax. At that rate, how much would she pay in sales tax for an item that costs $55.00 before tax?
Answer:
Step-by-step explanation:
3.84 is what percent of 48
(3.84 / 48) * 100 = 0.08 * 100 = 8% tax rate
for an item that is $ 55
8% of 55 = 0.08 * 55 = $ 4.40 <=== sales tax
The table of values below represent a function.
Select all of the values of z that will make the relationship a function.
x y
3 3
4 5
5 6
z 5
6 10
A: 0
B: 2
C: 3
D: 5
E: 6
F: 10
Answer:
A) 0
B) 2
F) 10
Step-by-step explanation:
This is because these are not on the chart already and the other choices are. Each input can only have 1 output for it to be a function,
A pond initially contains 1000000 gal of water and unknown amount of an undesirable chemical. water containing 0.01 g of his chemical per gallon flows into the pond at a rate of 300 gal/h.the mixture flows out at the same rate ,so the amount of water in the pond remains constant .Assume that the chemical is uniformly distributed throughout the pond .How much of the chemical will be in the pond after a very long time ?
Final answer:
To calculate the amount of chemical in the pond after a very long time, multiply the rate at which the chemical flows in per hour by the number of hours that have passed.
Explanation:
To find out how much of the chemical will be in the pond after a very long time, we can first calculate the amount of chemical that flows into the pond per hour. Since 0.01 g of chemical flows in per gallon, and the rate of flow is 300 gallons per hour, the amount of chemical added per hour is 0.01 g/gal * 300 gal/hr = 3 g/hr.
Since the amount of water in the pond remains constant, the concentration of the chemical will also remain constant. Therefore, after a very long time, the amount of chemical in the pond will be the amount added per hour multiplied by the number of hours that have passed. So, if time is represented by 't', then the amount of chemical in the pond after a very long time is given by 3 g/hr * t.
Solve: 746 ÷ 11
Show the remainder as a fraction.
The correct answer is [tex]67\frac{9}{11}[/tex]
Write the problem in long division format,
Divide 74 by 11 to get 6,
Multiply the quotient digit (6) by the divisor 11,
Subtract 66 from 74,
Bring down the next number of the dividend,
Divide 86 by 11 to get 7,
Multiply the quotient (7) by the divisor 11,
subtract 77 from 86.
[tex]\(746 \div 11\)[/tex] equals 67 with a remainder of 9. The remainder expressed as a fraction is [tex]68\frac{2}{11}\).[/tex]
To solve the division problem 746 ÷ 11 and express the remainder as a fraction, we can perform the long division as follows:
Step 1: Divide 7 by 11, which is 0 with a remainder of 7. So, the first digit of the quotient is 0, and we bring down the next digit, which is 4, to form the dividend 74.
Step 2: Now, divide 74 by 11. The largest multiple of 11 that does not exceed 74 is 6 times 11, which is 66. The remainder is 74 - 66 = 8.
Step 3: Bring down the next digit, which is 6, to form the new dividend 86.
Step 4: Divide 86 by 11. The largest multiple of 11 that does not exceed 86 is 7 times 11, which is 77. The remainder is 86 - 77 = 9.
Step 5: Finally, bring down the last digit, which is 0, to form the new dividend 90.
Step 6: Divide 90 by 11. The largest multiple of 11 that does not exceed 90 is 8 times 11, which is 88. The remainder is 90 - 88 = 2.
Now, we have completed the long division. The quotient is 68, and the remainder is 2. To express the remainder as a fraction, we can write it as [tex]\(\frac{2}{11}\).[/tex]
So, [tex]\(746 \div 11 = 68\frac{2}{11}\).[/tex]
For more such questions on remainder:
https://brainly.com/question/29347810
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If 32x+1 – 3x+5, what is the value of x?
N
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[tex]\boxed{x=\frac{4}{35}}[/tex]
Explanation:Here we have the following equation:
[tex]32x + 1 = - 3x + 5[/tex]
So let's follows these steps:
Step 1: Add 3x to both sides:
[tex]32x + 1 +3x= - 3x + 5+3x \\ \\[/tex]
Step 2. Combine like terms:
[tex]32x + 3x + 1 = - 3x+3x + 5 \\ \\ 35x+1=5[/tex]
Step 3. Subtract -1 from both sides:
[tex]35x+1-1=5-1 \\ \\ 35x=4[/tex]
Step 4. Divide both sides by 35:
[tex]\frac{35}{35}x=\frac{4}{35} \\ \\ \\ \boxed{x=\frac{4}{35}}[/tex]
Learn more:Solving equations by graph: https://brainly.com/question/10643312
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The admission fee to the carnival is $4.50 for children and $7.25 for adults. If a large group purchased 28 tickets and paid $159 how many adult tickets did they purchase?
Answer: 11.636 = 12 tickets to a whole figure
Step-by-step explanation:
Let the number of adult tickets be x and y represent children tickets.
From the question;
x + y = 28 ....... equation (i)
(7.25*x) + (y*4.50) = 158
7.25x + 4.50y = 158 ........ equation (ii)
From equation (i);
x + y = 28
y = 28 - x ...... equation (iii)
Put equation (iii) into equation (ii)
7.25x + 4.50(28 - x) = 158
7.25x + 126 - 4.50x = 158
Collect like terms and subtract
2.75x = 32
x = 11.636 approximately 12 to a round number.
Put x = 11.636 into equation (i)
11.636 + y = 28
y = 28 - 11.636
y = 16.364 approximately 16 to a whole number
Final answer:
To find the number of adult tickets purchased, we can set up two equations: C + A = 28, and 4.50C + 7.25A = 159. By solving the equations, we determine that 12 adult tickets were purchased for the carnival.
Explanation:
The question asks us to determine the number of adult tickets purchased for a carnival, given the cost of children's tickets, the cost of adult tickets, and the total amount paid for a group of tickets. Let's take the number of adult tickets as A and the number of children's tickets as C. According to the given information, the admission fee for children is $4.50 and for adults is $7.25. Also, we know that 28 tickets were purchased for a total of $159.
We can set up the following system of equations based on the information provided:
C + A = 28 (since the total number of tickets is 28)
4.50C + 7.25A = 159 (this represents the total cost of all tickets)
We can solve this system of equations using substitution or elimination method. If we rearrange the first equation to get C = 28 - A and substitute it into the second equation, we get:
4.50(28 - A) + 7.25A = 159
126 - 4.50A + 7.25A = 159
2.75A = 33
A = 33 / 2.75
A = 12
Hence, the number of adult tickets purchased is 12.
A person paid $60 for a vase at an estate auction. She resold it to an antiques dealer for $40. What was her profit or loss?
Answer:
she lost 20 dollars
Step-by-step explanation:
she paid fpr it for 60.
she sold it for 40.
40 is less than 60.
60-40=20
Answer: She losses 20$ for want she sold
Engs
Diuje
Ocrying
apporturomrmace
What is the central idea in this
passage?
Which phrase best supports this central
idea?
(1) But when cities or countries are accustomed to live
under a prince, and his family is exterminated, they
being on the one hand accustomed to obey and on the
other hand not having the old prince, cannot agree in
making one from amongst themselves, and they do not
know how to govern themselves. (2) For this reason they
are very slow to take up arms, and a prince can gain them
to himself and secure them much more easily. (3) But in
republics there is more vitality, greater hatred, and more!
desire for vengeance, which will never permit them to
allow the memory of their former liberty to rest; so that
the safest way is to destroy them or to reside there.
-The Prince,
Niccolò Machiavelli
Intro
Done
Answer:
1: a prince can use violence to keep control.
2: the safest way is to destroy them.
Answer:
For those who need this:
Step-by-step explanation:
Which text structure does Machiavelli use in this passage?
✔ cause and effect
Which signal word or words help you identify this structure?
✔ “for this reason”
How does this text structure help the author convey his central idea?
✔ It explains why destroying a state is successful.
Determine the fraction of total interest owed using the rule of 78.
After the six month of a 12 month loan, the numerator is: {(n+11)+(n+10)+(n+9)+(n+8)+(n+7)+(n+6)) =
A.78
B. 57
C.51
The denominator is: ((n)+(n+1)+...+(n+11)} =
A.51
B.78
C.57
Therefore, the fraction is numerator/denominator (to the nearest tenth) =
A.73.1%
B.65.4%
C.136.8%
Answer:
The numerator is 57 ⇒ B
The denominator is 78 ⇒ B
The value of the fraction is 73.1% ⇒ A
Step-by-step explanation:
Let us solve it step by step
∵ The loan is 12 month
∵ The numerator is after 6 month
- Put n = 1 in each bracket
∴ The numerator = {(1 + 11) + (1 + 10) + (1 + 9) + (1 + 8) + (1 + 7) + (1 + 6)}
∴ The numerator = {12 + 11 + 10 + 9 + 8 + 7}
∴ The numerator = {57}
The numerator is 57
∵ The denominator = {(n) + (n + 1) + (n + 2) + .......... + (n + 11)}
- Do the same as the numerator put n = 1
∴ The denominator = {1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12}
∴ The denominator = {78}
The denominator is 78
Now find the value of the fraction
∵ The fraction = [tex]\frac{57}{78}[/tex]
∴ Its value = 0.730769230
- Multiply it by 100%
∴ Its value = 0.730769230 × 100% = 73.0769230%
- Round it to the nearest tenth
∴ Its value = 73.1%
The value of the fraction is 73.1%
If side A is twice as long as B and C is 25 using the Pythagorean Theorem,What are the lengths of side A and B? Round to the nearest tenth if necessary
Answer:
Therefore side B= 11.18 and side A=2×11.18=22.36.
Step-by-step explanation:
Given,side A is twice as long as B and C is 25.
Let side B= x
Then side A = 2x
Using Pythagorean Theorem,
A²+B²=C²
⇔(2x)²+x²=25²
⇔4x²+x²=625
⇔5x²=625
⇔x²=125
⇔x=√125
⇔x =11.18
Therefore side B= 11.18 and side A=2×11.18=22.36.
Answer:
The length of side A is 22.4 and length of side B is 11.9.
Step-by-step explanation:
Given:
If side A is twice as long as B and C is 25.
Solve by using the Pythagorean Theorem.
Now, to get the lengths of side A and side B.
As side C = 25.
Let the side B be [tex]a.[/tex]
As, given A is twice as long as B.
So, the side A be [tex]2a.[/tex]
So, we solve by using Pythagorean Theorem:
A² + B² = C²
[tex](2a)^2+(a)^2=(25)^2[/tex]
[tex]4a^2+a^2=625[/tex]
[tex]5a^2=625[/tex]
Dividing both sides by 5 we get:
[tex]a^2=125[/tex]
So, using square root on both sides we get:
[tex]a=11.18.[/tex]
Rounding to the nearest tenth B = 11.9.
Now, to get A by putting the value of [tex]a[/tex]:
[tex]2a\\=2\times 11.18\\=22.36.[/tex]
Rounding to the nearest tenth A = 22.4.
Therefore, the length of side A is 22.4 and length of side B is 11.9.
Alice earns a monthly salary of $315 plus a commission on her total sales.last month her total sales were $9640, and she earned a Total of $1182.60. What is her commission rate ?
Answer:
The commission rate is 9%
Step-by-step explanation:
We are given;
Alice's monthly salary is $315 Total sales were $9640Total earnings are $1182.60We are required to determine the commission rate;
We need to know that;
Total earnings = Monthly salary + Commission
Therefore;
Commission = Total earnings - monthly salary
= $1182.60 - $315
= $867.6
Therefore, assuming the commission rat is x %
Then;
x/100 × $9640 = $867.6
x/100 = $867.6 ÷ $9640
x/100 = 0.09
x = 9%
Therefore, the commission rate is 9%
Which solution to the equation StartFraction 1 Over x minus 1 EndFraction = StartFraction x minus 2 Over 2 x squared minus 2 EndFraction is extraneous?
Answer:
Therefore x = 1 is an extraneous solution.
Step-by-step explanation:
The solution to the equation StartFraction 1 Over x minus 1 EndFraction = StartFraction x minus 2 Over 2 x squared minus 2 EndFraction
[tex]\Rightarrow \frac{1}{x - 1} = \frac{x- 2}{2x^2-2} \hspace{0.3cm} \Rightarrow \hspace{0.3cm} 2x^2 - 2 = (x-1)(x-2)[/tex]
therefore [tex]2x^2 - 2 = x^2 - 3x + 2 \hspace{0.3cm} \Rightarrow \hspace{0.3cm} x^2 + 3x - 4 = 0[/tex]
therefore [tex]x^2 + 3x - 4 = 0 \hspace{0.3cm} \Rightarrow = \hspace{0.3cm} (x-1)(x+4) = 0 \\[/tex]
therefore x = 1 and x = -4 but we can see that if we place x = 1 in the original solution then [tex]\frac{1}{x-1} = \frac{1}{1-1} = \frac{1}{0}[/tex] which is indeterminate.
Therefore x = 1 is an extraneous solution.
Answer:
C. x = 1
Step-by-step explanation:
Which solution to the equation StartFraction 1 Over x minus 1 EndFraction = StartFraction x minus 2 Over 2 x squared minus 2 EndFraction is extraneous?
x = 1 and x = –4
neither x = 1 or x = –4
x = 1
x = –4
I Suck at maths
Put the following in order from smallest to largest.
Answer:
0.027, [tex]\frac{1}{6}[/tex], 23%, 0.29, [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Here we have to convert the fractions and percents to decimal form, then we have to arrange them from smallest to largest.
[tex]\frac{1}{6} = 0.167[/tex]
23% = [tex]\frac{23}{100} = 0.23[/tex]
[tex]\frac{3}{5} = 0.6[/tex]
0.29
0.027
Now we have to arrange from smallest to largest.
0.027 < 0.167 < 0.23 < 0.29<0.6
From smallest to largest
0.027, [tex]\frac{1}{6}[/tex], 23%, 0.29,[tex]\frac{3}{5}[/tex]
what is the energy stored in a spring when it is compressed 5mm by a 60N force?
Answer:
can you elaborate?
Step-by-step explanation:
Answer: 0.15J
Step-by-step explanation:
Fom th question, we obtained the following information:
F = 60N
e = 5mm
We need to covert 5mm to m
1mm = 0.001m
5mm = 5 x 0.001 = 0.005m
We need to find the spring constant (K) for the spring. This is illustrated below:
K = F / e
K = 60 / 0.005 = 12000N/m
Now we can obtain the energy stored on the spring by the doing following:
Energy = 1/2 Ke^2
Energy = 1/2 x 12000 x (0.005)^2
Energy = 0.15J
What is the common difference in the arithmetic sequence 10, 8, 6, 4, ...?
20pts
Answer:common difference is -2
Step-by-step explanation:
Answer:common difference is -2
Step-by-step explanation:
The sequence is arithmetic if the difference between consecutive terms is constant.
Is it undefined? I'm not sure.
Answer:
no
Step-by-step explanation:
the line has a value which is y=7
Answer: Zero slope
Step-by-step explanation: A common mistake made by many students is to confuse what no slope is and what zero slope.
If a line has a slope of zero, it means that the line is flat or horizontal.
No slope is a vertical line or straight up and down. No slope means that we cannot describe its slope using a number because its line is vertical and it's slope is undefined. This has to do with dividing a number by 0. When you do this, you should get an error message or it should say undefined.
So, this line would have zero slope because it's flat.
In the problems below, f(x) = log₂x and
g(x) = log₁₀x
Which point do the graphs of f and g have in common?
Answer:
(1,0)
Step-by-step explanation:
The given functions are:
f(x) = log₂x
and
g(x) = log₁₀x
We know that logarithm of 1 is always zero.
This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1
Therefore the point the graphs of f and g have in common is (1,0)
Answer:
B,C
(1,0)
F
Step-by-step explanation:
Multiply the following 11 x square Y and 2 x square y square
Answer:
[tex]22 x^4y^3[/tex]
Step-by-step explanation:
[tex]11x^2y\times 2x^2y^2\\[/tex]
by multiplying
[tex]=11 \times 2 \times x^2 \timesx^2 \times y \times \times y^2\\=22 \times x^{2+2}y^{1+2}\\=22 x^4y^3[/tex]
HELP? please asap!! ty
Answer:
BF = 30
Step-by-step explanation:
[tex]BF=\frac{1}{2}*CE\\\\=\frac{1}{2}*60=30[/tex]
The line segment connecting the midpoint of two sides of a triangle is parallel to the third side and half the length of the that third side
The system of equations is solved using the linear combination method.
3x+4y=8 = -2(3x+4y=8) — -x-By--16
3x +24y - 12 (3x +24y= 12) ► x+8y=4
00
What does 0 = -12 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
1
Answer:
There are no solutions to the system because the equations represent parallel lines.
Step-by-step explanation:
The given system is solved using the linear combination method.
By solving we had the result 0=-12.
We need to interpret this result in terms number of solutions.
Since 0 is never equal to -12, it means the system has no solution.
This means that the lines do not intersect
Meiko is hanging a picture collage on her wall. The dimensions of the collage are shown in the diagram. She plans to cover
the collage with smaller pictures that have the same shape as the collage. If the base of each small picture is 4.5 inches and
the height is 3.5 inches, how many small pictures will fit within the collage?
Answer: [tex]\frac{A_{collage}}{15.75\ in^2}[/tex]
Step-by-step explanation:
Since you did not attach the diagram and I don't know the dimensions of the collage, I will give you a general explanation of the procedure you need to use in order to solve the exercise:
1. You need to use the formula for calculate the area of a rectangle:
[tex]A=lw[/tex]
Where "l" is the length and "w" is the width.
2. Using the formula, you must calculate the area of an small picture.
You know that its length is 4.5 inches and its width is 3.5 inches. Therefore, its area is:
[tex]A_{picture}=(4.5\ in)(3.5\ in)\\\\A_{picture}=15.75\ in^2[/tex]
3. Calculate the area of the collage using the formula:
[tex]A_{collage}=(l_{collage})(w_{collage})[/tex]
4. Finally, divide the area of the collage by the area of an small picture in order to find the number of small pictures that will fit within the collage:
[tex]\frac{A_{collage}}{15.75\ in^2}[/tex]
Answer:
C is the answer
Step-by-step explanation: I took a test
What are the solutions to the system of equations?
y=x2−5x+6y=−4x+6
(−1, 0) and (0, 6)
(0, 6) and (1, 2)
(−1, 0) and (6, 0)
(0, −1) and (6, 0)
Answer:
(0, 6) and (1, 2)
Step-by-step explanation:
hello :
(0, 6) and (1, 2)
put x =0 and y =6 in this system : y=x²−5x+6
y=−4x+6
you have : 6 = 0²-5(0)+6 =6 ...right
6 =-4(0)+6 .... right
same mhethod for:(1, 2)
The solutions are B) (0, 6) and (1, 2).
To find the solutions to the given system of equations:
y = x² − 5x + 6 and y = −4x + 6, we need to set the equations equal to each other and solve for x:
Set x² − 5x + 6 equal to −4x + 6:
x² − 5x + 6 = −4x + 6
Rearrange the equation to get:
x² − x = 0
Factor the equation:
x(x − 1) = 0
Solve for x:
x = 0 or x = 1
Substitute these values back into either original equation to find y:
When x = 0: y = −4(0) + 6 = 6 (so one solution is (0, 6)).
When x = 1: y = −4(1) + 6 = 2 (so another solution is (1, 2)).
Therefore, the solutions to the system of equations are B) (0, 6) and (1, 2)
Professor Ivy has following scores on her final exams: 97 88 66 55 89 72 94 32 84 89 72 76 77 Express answers rounded correctly to the nearest tenth
Answer:
The rest of the question:
Find Mean, Median, Mode, 25th Percentile, 75th Percentile, Maximum, Minimum, Range and IQR.
Let's begin by placing the data points in order from least to greatest:
32 55 66 72 72 76 77 84 88 89 89 94 97
n = 13
1) Mean sometimes called the average = the sum of the data over its number
Mean =( 32+55+66+72+72+76+77+84+88+89+89+94+97 )/13 =
= 991/13 = 76.23 ≈ 76.2 (to the nearest tenth)
2) Median is the middle data point = 77
3) Mode is any number within a set that occurs the most often
Mode = 72 and 89
We will making a data in suitable form to find the remaining requirements:
(32 55 66 72 72 76) 77 (84 88 89 89 94 97)
4) 25th Percentile = Quartile 1 (Q1) which is the median of the first set of data
∴ 25th Percentile = (66+72)/2 = 138/2 = 69
5) 75th Percentile= Quartile 3 (Q3) which is the median of the second set of data
∴ 75th Percentile = (89+89)/2 = 89
6) Maximum = 97
7) Minimum = 32
8) Range = Maximum - Minimum = 97 - 32 = 65
9) IQR (interquartile range) = Q3 - Q1 = 89 - 69 = 20