(a) Solve the following formula for b.
1
A = ab
(b) Evaluate b when A= 18 and a =
6/5
1
(a) The formula A = ab solved for b is b = 3X
6
(b) Evaluate b when A= 18 and a = 5
b = (Type an integer or a simplified fraction.)

(a) Solve The Following Formula For B.1A = Ab(b) Evaluate B When A= 18 And A =6/51(a) The Formula A =

Answers

Answer 1

Answer:

a. b = 2A/a

b. 30

Step-by-step explanation:

a. to solve for b:

[tex]A = 1/2 ab[/tex]

multiply both sides by 2

[tex]2A = ab[/tex]

divide both sides by a

[tex]2A/a=b[/tex]

so b = 2A/a

b. using the equation b = 2A/a

[tex]b = 2*18/(6/5)\\= 36/(6/5)\\= 30[/tex]

Answer 2
Answer:

a) b = 2A/a
b) b = 30

Step-by-Step Solution:

a) Solve the following …

A = 1/2ab
A = a/2b
A * 2 = ab
2A = ab
2A/a = b
=> b = 2A/a

b) Evaluate b when A = 18 and …

=> b = 2A/a
=> A = 18
=> a = 6/5

Substitute the Values in the Equation :-

b = 2A/a
b = 2(18)/(6/5)
b = 36 ÷ 6/5
b = 36 * 5/6
b = 180/6
=> b = 30

Hence, b = 30 when A = 18 and a = 6/5

Related Questions

These expressions represent four numbers. The value of the median of the expressions is 12.

Answers

Answer:

Try retyping ,which expressions ..?? Maybe it didn't come out

Answer:

15

Step-by-step explanation:

Actual Question:

These expressions represent four numbers. The value of the median of the expressions is 12.

x  ,   2x,   6x,  11x

Work out the value of the mean of the expressions.

_____________________________________________

See the attachment for steps.

Donna took out a loan for $17,000 and was charged simple interest at an annual rate of 6.8% .
The total interest she paid on the loan was $867 . Do not round any intermediate computations.

Answers

Total amount she paid to repay her loan was $17,687

Amount is the total sum  of money paid to the bank.It is basically the sum of interest and principal amount.

Principal is the sum of money taken from the bank

Interest is the sum of money charge by the bank during the period of loan repayment.

Rate of interest is the rate at which interest is charge in the principal sum

Time is the total period of the loan repayment.

Simple interest = (P x Rx T)/100

where, P=principal

           R=rate of interest

           T= time

Amount= Principal +Interest

As per question,

P=$17000

R=6.8%

I=$687

Amount=P+I

              =$17000+687

              =$17687

Therefore,Total amount she paid to repay her loan was $17,687

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24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70​

Answers

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

B. P37.70

a cuboid has length 18.5 cm, width 9.4 cm a height 6.2 cm. Work out the area of the cuboid​

Answers

Answer:

693.76 cm²

Step-by-step explanation:

a cuboid has length 18.5 cm, width 9.4 cm a height 6.2 cm. Work out the area of the cuboid​

assuming you are looking for thr surface area

Surface Area of a Cuboid ·

TSA = 2 (lw + wh + hl)

2*( 18.5 * 9.4 + 9.4 * 6.2 + 6.2 * 18.5) =         (remember PEMDAS)

2 * 346.88 =

693.76 cm²

A rectangular prism and a cylinder both have a height of 8m, and their cross-sectional areas are equal at every level parallel to their respective bases.

Complete the steps to find the prism.

Answers

1) [tex]V=lwh=5(x)(8)=\boxed{40x}[/tex]

2) [tex]V=\pi r^{2}h=(\pi)(3^{2})(8)=\boxed{72}\pi[/tex]

3) [tex]40x=72\pi\\\\x=\frac{72\pi}{40} \approx \boxed{5.7}[/tex]

A media personality argues that global temperatures are not rising, because every year an increase is reported, such as 0.09 degrees C. The difference from the previous year is less than the margin of error of about 0.13 degrees C, so that difference should be ignored. What is the best counterargument?


The difference is only 0.04, but that is still a significant change.


The margin of error is quite small compared to the change year over year, so it is a significant issue.


The change of 0.09 is not a lot and thus should be ignored.


The margin of error is larger than the increase, so we should consider it an issue of just extra information and thus can be ignored.

Answers

The best counterargument: the margin of error is quite small compared to the change year over year, so it is a significant issue.

What is Margin error?

In statistics, the margin of error refers to half the confidence interval. It measures how much of a random sample does not fall within the confidence interval as the number of samples taken increases indefinitely.

As, the temperature rises by 0.09 degree.

So, the difference between margin error and increase is higher which is

= 0.13- 0.09

=0.04

Hence, The margin of error is quite small compared to the change year over year, so it is a significant issue.

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Help I have no idea to do this!! I’m stuck!

Answers

Answer: 7

Step-by-step explanation:

[tex]A \cap C[/tex] denotes the intersection of A and C, or in other words, how many elements are shared between them.

The number of elements is 2 + 5 = 7

the answer is 7
hope that helps !

Find the value of x for which m||n

Answers

Answer:

x = 61

Step-by-step explanation:

Alternate exterior angles must be congruent for the lines to be parallel.

3x - 43 = 2x + 18

x = 61

given the formula p=k*2 w, find the value of p if k= 5 and w= - 3

Answers

Answer:

-75

Step-by-step explanation:

Given:

k= 5w= -3

Find: p

Formula: p=k²w

Solution:

p=k2w

➡️ p= (5)²(-3)

➡️ p= 25(-3)

➡️ p= -75

Answer:

p= -75

Hope it helps

What is breaking probation?

Answers

Answer:

a probation violation occurs when someone who has already been sentenced for a crime breaks the terms or conditions of that probation

Jack has a rectangular piece of land, the area of which is represented by a₁ = 9.5%. His brother has a different rectangular piece of land, the area of which is represented by a2 = 14-). Let a represent the area in square meters and /represent the length in meters of the pieces of land. The two equations plotted on a graph meet at a point as shown in the image.​

Answers

Answer:

yea that’s right

Step-by-step explanation:

3.14(a2 + ab) when a = 4 and b = 3​

Answers

Step-by-step explanation:

how does the picture fit into this question ?

I guess you mean

(a² + ab)

when a = 4 and b = 3. then we simply replace the variable names by the actual values and calculate :

4² + 4×3 = 16 + 12 = 28

.

now to the picture :

i am not sure what the requested result of procedure is.

so, I am just going to simplify the expression :

(log(25) - log(4)) / (log(55) - 1/2 × log(2)

remember the rules of the logarithm :

log(a) - log(b) = log(a/b)

k × log(a) = log(a^k)

a^(1/2) = sqrt(a) (the square root of a)

I assume we are using the logarithm to the base of 10.

so, we have here

log(25/4) / log(55/sqrt(2)) =

= 0.795880017... / 1.589847692... = 0.500601423...

Plss helppppppppppppppp

Answers

Answer: [tex]-\frac{3}{2} \leq x < 5[/tex]

Step-by-step explanation:

We can split this into two inequalities, namely [tex]2x-3 < x+2[/tex] and [tex]x+2 \leq 3x+5[/tex].

Solving the first inequality,

[tex]2x-3 < x+2\\\\x-3 < 2\\\\x < 5[/tex]

Solving the second inequality,

[tex]x+2 \leq 3x+5\\\\2 \leq 2x+5\\\\-3 \leq 2x\\\\-\frac{3}{2} \leq x[/tex]

So, the solution is [tex]-\frac{3}{2} \leq x < 5[/tex]

Please help!
Julie wants to show that a quadrilateral with vertices J(2, 3), K(2,7), L(-2,7), M(-2,3) is a square. Using the distance formula, what should she find the length of each side to be?
8

4

3

2

Answers

Answer:

4 is the answer

Answer:

4 is the answer I believe

f is an even function, g is an even function. a=

Answers

Answer:

a=6 it's even

Step-by-step explanation:

please mark me as brainlest

Answer:

A= 4

B= 3

i got it right.

one phone company charged 65% of its normal long-distance rate after 5 p.m. A day-rate long-distance call from Houston to Chicago costs 20 cents per minute. How much is an 11-minute call between these two cities after 5 p.m. ?

Answers

The cost of 11-minute call between these two cities after 5 p.m is: 142.

Cost

Given:

Charges for long distance=65% or .65

Cost=20 cents per minutes

Number of call minutes=11 minutes

Hence:

Cost =20 cents ×11 minutes times 0.65

Cost =143 cents

Therefore the cost of 11-minute call between these two cities after 5 p.m is: 142.

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What is the solution to the equation below? Round your answer to two
decimal places.
log2(2x-1) = 3
A. x=4
O B. x= 1/2
732
O c. x = 2/
O D. x = 5

Answers

Answer:

D. x=5

The answer is x=4.50 then it is rounded off to 5. So, the answer is 5.

Step-by-step explanation:

Find the domain of the inequality:[tex]2x-1\geq 0[/tex]

Rearrange terms to the left side of the equation:[tex]2x\geq 1[/tex]

Divide both sides of the inequality by the coefficient of the variable:

=> [tex]x\geq \frac{1}{2}[/tex]

The domain of the inequality is:[tex]x\geq \frac{1}{2}[/tex]

Convert logarithm to exponential form:[tex]2^{3}=2x-1[/tex]

Calculate the power:[tex]8=2x-1[/tex]

Rearrange terms to the left side of the equation:[tex]-2x= -8-1[/tex]

Calculate:[tex]-2x=-9[/tex]

Divide both sides of the equation by the coefficient of the variable:[tex]x=\frac{-9}{-2}[/tex]

=> [tex]x=\frac{9}{2}[/tex]

=>[tex]x=4.5\\[/tex]

Round the number: [tex]x=4.50[/tex]

Answer: [tex]x=4.50[/tex]

=> [tex]x=5[/tex]

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Answer:

x = 9/2

Step-by-step explanation:

answer a-d please!!!!!!!!!!!!!!!!

Answers

a) Intercepts are the points on the x and y axis

In the graph:

x-int: (-2,0), (2,0)

y-int: (0,1)

b) Domain is the list of x-values and Range is the list of y-values that make this graph true

Interval notations of domain and range

(Square brackets because the circles are closed)

Domain: [3,3]

Range: [0,3]

c) Intervals of increase and decrease: where the graph is increasing and decreasing

Increasing: -2 to 0 & 2 to 3

Decreasing: -3 to -2 & 0 to 2

d)Even, odd or neither

It is an even degree as both of its hands are facing upwards

Hope it helps!

Write the number below as a fraction in its simplest form
0.125 the 1 and 5 are recurring

Answers

If we write 0.125 in the fraction form then we will get 7/20.

Given Number which is 0.125

We are given a number 0.125 and we have to write this in fraction form.

0.125 can be written as 125/1000 it can be written as 7/20 by cutting on the numerator and denominator.

Fraction is a combination of numerator and denominator. If a fraction is solved then it comes in the decimal form. Recurring means the numbers which are coming again and again after the decimal.

In this fraction we have to ignore 1 and 5 because we have no idea how many times it is coming after decimal.

Hence the number 0.125 can be written as 7/20 in the fraction form.

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Which equation represents this number sentence?
Two more than one-third of a number is 8

Answers

Answer:

Step-by-step explanation:

One - third = 1/3

then:

one third of a number = a*1/3 = a/3

Then the equation that represents this sentence is:

2 + a/3 = 8

process:

a/3 = 8 - 2

a/3 = 6

a = 6*3

a = 18

Check:

2 + 18/3 = 8

2 + 6 = 8

The diameter of a bicycle wheel is 63 cm. How much distance will it cover in 20revolutions?

Answers

Answer:

1256 cm

Step-by-step explanation:

First we must find the perimeter, because the perimeter is equal to 1 revolution.

The perimeter of any circle is Pi(Diameter)

3.14*20

62.8 cm is the perimeter of the bike wheel.

Because the perimeter is basically a revolution, we can multiply 62.8 by 20 to get:

1256 cm

Which expression is the simplest form of - (4x³ + x²) + 2 (x³ − 3x²)?
OA. -2³ - 7x²
OB.
B. -2x³-5x2
O C.-6x³ - 2x²
OD. -6x³6x²

Answers

The expression which is the simplest form of; - (4x³ + x²) + 2 (x³ − 3x²) is; -2x³ -7x².

What is the simplest form of the expression?

The expression given in the task content whose simplest form is to be determined is;

- (4x³ + x²) + 2 (x³ − 3x²)

Hence, upon opening up the parentheses, it follows that;

-4x³ - x² +2x³ -6x²

Upon collection and summing up of like terms; -2x³ -7x².

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determining height from a shadow measuring 88 meter

Answers

Answer:

Height = 132 mt

Step-by-step explanation:

Shadow lengths are proportional to the height of the object.

So, multiply the length of the tree's shadow by your height.

If you are 5 feet (1.5 meters) tall, and the length of  shadow is 88 meters long,

Multiply them together: 1.5 x 88 = 132 mt.

Hence, Height = 132 mt.

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Write an explicit rule to represent the sequence:
20, 24, 28, 32, 36,...
a) f(n)=4n+20
b) f(n)=4n+16
c) f(n)=4n+24
d) f(n)=4n+12

Answers

Answer:

b)f(n)=4n+16

Step-by-step explanation:

if n=1

substitute 1 for n in the equation

f(1)=4(1)+16

=4+16

=20

f(2)=4(2)+16

=8+16

=24

And so on

Divide.

74.48 ÷ 7.6

Enter your answer as a decimal in the box.

Answers

If you put in 74.48 divided by 7.6 the answer comes up as 9.8
9.8 should be your answer

the length of a cll is 2/3 mm. if the area of the cell is 1/12 square mm, what is the width of the cell

Answers

The width of a cell with the length (l) of the cell is [tex]\frac{2}{3}[/tex] mm and area (A) of the cell is [tex]\frac{1}{12}[/tex] mm² is [tex]\frac{1}{8}[/tex].

Given that, the length (l) of the cell is [tex]\frac{2}{3}[/tex] mm and area (A) of the cell is [tex]\frac{1}{12}[/tex] mm².

We need to find the width of the cell.

What is the area of a rectangle?

The area of a rectangle is the product of its length and width. So, the area of the rectangle = Length×Width square units.

Now, the area of a cell = [tex]\frac{2}{3}[/tex] ×Width=  [tex]\frac{1}{2}[/tex] mm².

⇒Width=[tex]\frac{\frac{1}{12} }{\frac{2}{3} } ={\frac{1}{12} \times {\frac{3}{2}=\frac{1}{8}[/tex]

Therefore, the width of a cell with the length (l) of the cell is [tex]\frac{2}{3}[/tex] mm and area (A) of the cell is [tex]\frac{1}{12}[/tex] mm² is  [tex]\frac{1}{8}[/tex].

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Find equation in slope intercept form of the line passing through the points with given coordinates (-4,-2), (-2,2)


Answers

Answer:

y = 2x + 6

Step-by-step explanation:

We are given that a line runs through the points (-4,-2) and (-2,2).

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name.

First, we need to find the slope of the line.

The slope can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.

Even though we have two points, let's label the values of the points to avoid confusion & mistakes.

[tex]x_1=-4\\y_1=-2\\x_2=-2\\y_2=2[/tex]

Now let's find the slope (remember: the formula has subtraction):

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{2--2}{-2--4}[/tex]

This can be simplified:

m=[tex]\frac{2+2}{-2+4}[/tex]

Add the numbers together.

m=[tex]\frac{4}{2}[/tex]

Divide.

m = 2

The slope of the line is 2.

We can substitute this into the equation for m.

Here is the equation of the line so far:

y = 2x + b

We now need to find b.

As the equation passes through both (-4, -2) and (-2, 2), we can use either one of them to help solve for b.

Taking (-4, -2) for instance:

Substitute -4 as x and -2 as y in the equation we have.

-2 = 2(-4) + b

Multiply.

-2 = -8 + b

Add 8 to both sides.

6 = b

Substitute 6 as b into the equation.

y = 2x + 6

Topic: finding the equation of the line (slope-intercept form)

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Select the correct answer. The table represents a proportional relationship. x y 11 2 22 4 33 6 The graph represents another proportional relationship. Which equation represents the lower unit rate of these two relationships? A. B. C. D. Reset Next

Answers

The equation which represents the lower unit rate of these two relationships is y = 2x/11.

How to determine the equation?

In order to determine the equation which represents the lower unit rate of these two relationships, we would find the slope of the given points.

Mathematically, the slope of a straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Slope = \frac{6\;-\;4}{33\;-\;22}\\\\Slope = \frac{2}{11}[/tex]

Slope = 2/11.

From the standard equation, we have:

y = mx + c

y = 2x/11 + 0

y = 2x/11.

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URGENT + 20 Points! The regression equation for water being poured into a large, cone-shaped cistern is In(volume) = -1.327 +2.993 In(Time). What is the predicted volume for a time of 12 seconds?

- There is a line above "(volume)"


1.810 cm3

6.110 cm3

34.589 cm3

450.485 cm3

Answers

The predicted volume for a time of 12 seconds of the large, cone-shaped cistern is; V = 450.485 cm³

How to Solve Regression Equations?

We are given the regression equation;

In V = -1.327 + 2.993 In T

Where;

V is volume

T is time

At T = 12, we have;

In V = -1.327 + 2.993 In 12

In V =  -1.327 + 7.4373

In V = 6.1103

V = e^(6.1103)

V = 450.485 cm³

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What's x ? find the indicated side of the right triangle

Answers

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]\textsf{x = 6}[/tex]

-------------------------------------------------------------------------------------------------------------

Given:  [tex]\textsf{The image provided with 2 angles and one side}[/tex]

Find:  [tex]\textsf{Solve for the unknown side of x}[/tex]

Solution:  In order to determine the length of x we need to use some trigonometric functions.  Using Soh Cah Toa we can see that we can either use 30 degrees or 60 degrees.  We will stick to 60 and we can see that the opposite side is 3 and the hypotenuse is x meaning that we need to use sin.  Plug in the values and solve for the unknown.

Plug in the values

[tex]\textsf{sin(30) = }\frac{\textsf{opposite}}{\textsf{hypotenuse}}[/tex][tex]\textsf{sin(30) = }\frac{\textsf{3}}{\textsf{x}}[/tex]

Multiply both sides by x

[tex]\textsf{sin(30) * x = }\frac{\textsf{3}}{\textsf{x}}\textsf{ * x}[/tex][tex]\textsf{sin(30) * x = 3}[/tex]

Divide both sides by sin(30)

[tex]\textsf{sin(30) * x}*\frac{1}{\textsf{sin(30)}}\textsf{ = 3}}*\frac{1}{\textsf{sin(30)}}[/tex][tex]\textsf{x = 3}}*\frac{1}{\textsf{sin(30)}}[/tex]

Simplify

[tex]\textsf{x = 3}}*\frac{1}{\textsf{0.5}}[/tex][tex]\textsf{x = 6}[/tex]

Therefore, the value of the unknown variable x is 6 units.

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Nepal has high potential for producing hydroelectricity however it is difficult too. give one reason of each. Select the correct answer. A force of 15 newtons is applied to both Object A with a mass of 25 kilograms and Object B with a mass of 50 kilograms. What is true about the acceleration of Object A and Object B? A. Acceleration of Object A is four times that of the acceleration of Object B. B. Acceleration of Object A is the same as the acceleration of Object B. C. Acceleration of Object A is half the acceleration of Object B. D. Acceleration of Object A is twice that of the acceleration of Object B. When mpf activity declines in a normal healthy cell it is due to _____ A spring is compressed by 0.0880 m and is used to launch an object horizontally with a speed of 2.76 m/s. If the object were attachedto the spring, at what angular frequency (in rad/s) would it oscillate? What the correct answer the difference between physician-centric care and patient-centric care and why you think it is important. 1.) Ano ang gawaing ikinatuwa ng magkapatid na Jasper at Justin?2.) Anu-ano ang natuklasan ng magkapatid nang nakarating sila sa Manila Zoo?ESP po itoMagsagot ng Maayos pls ty PLEASE ANSWER ASAP!!!!!!!!!!The graph of a cosine function has an amplitude of 3, a vertical shift of 1, and a period of 4. These are the only transformations of the parent function.Use the Sine tool to graph the function.The first point must be on the midline, and the second point must be a maximum or minimum value on the graph closest to the first point.(please include a graph when you answer) What is -8/15 of 21/12 Please help! Solve the equation on the interval [0,2pi) what is the motivation behind Napoleon's actions in this excerpt What is difference between barcode reader and finger print reader Lila wants to represent the following statement: seven times some number plus thirteen. How can she write this as an expression? A shopkeeper buys a stove for $860 what is the selling price if he makes the profit of 15% Which word from the conversation best helps the reader understand the mood of the scene? "bitter," because this is an angry conversation "jest," because this is a teasing conversation "served," because this is a loving conversation "bite," because this is a frightening conversation What feature allows the customer to edit the payment date field when viewing an online invoice?. Identify the common ratio and first term and fill in the recursive formula for each of the following geometric sequences. Which of the following best describes the natural environment of Sumer?A. Mountainous and safeB. Lush and plentifulC. Harsh and forbiddingD. Temperate and providingReset Selection Manu works for an auto parts company in New York. He provides information and advice that are not available online to his clients, who are mainly small businesses like Briarcliff Auto. Manu provides credit to Briarcliff Auto, coordinates supplies of parts from several sources to Briarcliff Auto, delivers parts to Briarcliff Auto, and processes returns. Manu is a _______. a. distributor b. reseller c. marketer d. businessmen Tina's application for graduate school was ranked 54 out of 300 applications. Her twin sister's application to adifferent graduate school was ranked 23 out of 175 applications.a. Which sister had the higher percentile ranking?b. If you had the data on the cumulative GPA of each student in each school in June 2019, which measure ofaverage would be the most meaningful - mean, median, mode? Explain