A teacher gave a test with 50 questions, each worth the same number of points. Donovan got 39 out of 50 questions right. Maci's score was 10 percentage points higher than Donovan's.

What was Maci's Score? Explain.

How many more questions did Maci answer correctly? Explain.

Explain how you can check your answers for reasonableness.

Answers

Answer 1

39/50= 0.78 times 100= 78

78 is Donovan's score

if maci's score is 10 percentage points higher

78+10=88

x /50 =0.88 times 100= 88

x=44

each question is 2 points:  88-78= 10/2=5

Maci answered 5 questions correctly.


Related Questions

(2n-9)-5(-2.4n+4) please help!

Answers

(2n - 9) - 5(-2.4n + 4) =

The first set of parentheses is unnecessary, so we just drop them.

= 2n - 9 - 5(-2.4n + 4)

Now we distribute -5 by the second set of parentheses. Each term in the parentehses is multiplied by -5.

= 2n - 9 + 12n - 20

Now we combine like terms.

= 2n + 12n - 9 - 20

= 14n - 29

round 97.4595 to the thousandth

Answers

The thousandth place is the second to the right of the decimal point.

5 and above round UP; 4 and below rounds DOWN

The answer is : 97.46

a piece of string is 3 yards long. How many 1 and a quarter yard long pieces can Julie cut from the string?

Answers

this question is actually a lot simpler than it seems

for a quarter think about money - a quarter is 25 cents or 1/4 of a dollar - so 1 and a quarter yard in decimal form is equivalent to 1.25

now you need to find how many 1 and a quarter yards are in 3 yards - to do this you simply divide 3 by 1.25

3/1.25 = 2.4

so julie can cut 2.4 1 and a quarter long pieces from the string

if you have any questions about how i answered this question please let me know:)

Answer:

2 pieces

Step-by-step explanation:

Julie wants to cut 1 and a quarter yard long pieces of a 3 yard string.

1 and a quarter yard =  [tex]1\frac{1}{4}[/tex] yards =  [tex]\frac{5}{4}[/tex] yards

= 1.25 yards

The total length of a piece of string = 3 yards

Julie can cut the number of pieces of 1.25 yards = [tex]\frac{3}{1.25}[/tex]

                                                                                 = 2.4 pieces

She can cut 2 pieces of 1.25 yard = 1.25 × 2 = 2.5 yard

3 yard - 2.5 yard = 0.5 yard would be leftover.

If u help me out I will give a thanks...a hot air ballon are able to fly at a very high altitudes. A world record height of 68,997 feet was set in 1988. In 2005, a new record of 68,986 feet was set. How many feet higher was the 2005 record then 1988 record?

Answers

-9 feet because the 2005 record was lower than the 1988

Determine the equation of the line given by the graph.

A) y = 5/7 x − 2/3

B) y = 5/7 x − 3/2

C) y = 7/5 x − 2/3

D) y = 7/5 x − 3/2

Answers

Hello!

I was going to try to use the slope formula, and solve for the y-intercept, but the given graph is hard to distinguish accurate ordered pairs. So, we will find the equation with the graph instead.

Looking at the graph, we can see that the y-intercept is negative. Also, we can also determine that each square represents one unit. So, the y-intercept has to be -3/2 or -1.5. That removes the choices A and C because the y-intercept is in between the values of -1 and -2.

Secondly, the graph has a positive slope. Why? When the x-values increase, the y-values increase. Also, when the x-values decrease, the y-values also decrease. This tells us that the graph has a positive slope (this doesn't remove any choices, but it helps to distinguish which graph has a positive or negative slope).

Finally, we know that if the slope is greater than one, then it is steeper (m > 1). But, if it's less than one, then it becomes less steep (0 < m < 1). Looking at the graph, the graph looks relatively steep (graphing the equations y = 5/7 x - 3/2 and y = 7/5x - 3/2 can help you see the differences between them).

Therefore, the equation of the line given by the graph is choice D, y = 7/5 x − 3/2.

Final answer:

The equation of the line given by the graph is y = 5/7 x - 2/3 (Option A).

Explanation:

The equation of the line given by the graph is y = 5/7 x - 2/3 (Option A).

To determine the equation, we look at the slope and y-intercept of the line. The slope of the line can be determined by comparing the change in y-coordinates to the change in x-coordinates between any two points on the line. In this case, the slope is 5/7. The y-intercept is the value of y when x = 0, which is -2/3 in this case.

Therefore, the equation of the line is y = 5/7 x - 2/3.

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ian ran f fewer laps than matt. Who ran 17 laps.
write an expression for the number of laps that Ian ran

Answers

17 Matt's laps - f laps = Ian's laps

Matt's laps (17) - f laps = Ian's laps

Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package and 4 months of game play. Each software package cost $50. If the total cost is 240, what is the cost of one month of gameplay ?

Answers

Given

Angie and Kenny play online video games

Angie buys 1 software package and 3 months of game play

Kenny buys 1 software package and 4 months of game play

Each software package cost $50

total cost is 240

Find out the cost of one month of gameplay.

To proof

let us assume that the cost of one month of game play = x

As given in the question

Angie buys 1 software package and 3 months of game play

Kenny buys 1 software package and 4 months of game play

Each software package cost  = $50

Total cost =$240

Than the equation becomes

( 50 + 3x ) + ( 50 + 4x ) = 240

100 + 7x= 240

7x= 140

x = $20

The cost of one month gameplay  is $ 240.

Hence proved

Find each unit rate. Round your answer to the nearest hundredth.

1.) Teresa can buy 18 golf balls for $32.99.

2.) A 15 oz bottle of juice costs $2.75.

Answers

For unit rate, divide the total dollar amounts by the amount of the item you have.

in number 1:

18 golf balls equal $32.99

so divide 32.99 by 18

32.99

 18

This tells us that 1 golf ball costs roughly $1.83


2. Do the same thing except put the ounces of juice under the total cost

2.75

 15


This will tell us that 1 oz of juice costs $0.18.

Since this is in word form, it is a rule in higher math to answer in the same format.

The unit rate for one golf ball is $1.83, and it costs $0.18 per ounce of juice.

I don’t know if I got this wrong could someone help me

Answers

If you multiply .768 by 1000, you move the decimal point to the right 3 places, giving you 768, so your answer is correct.

Hope this short response helps! :)

Don't Worry you are correct  It was 1,000 because 768.0 divided by 1000 is .768,  Hope this Helps :D

The sum of 5 consecutive integers is 110, what is the fourth number in this sequence?

Answers

The answer is:  " 23 " .

    →  The fourth number in the sequence is:  " 23 " .

_____________________________________

Explanation:

To solve:

 " x + (x + 1) + (x + 2) + (x + 3)  + (x + 4) = 110 " ;

in which:

 "x" = The first number in these sequence;

 "(x + 1 )" = the second number in the sequence;

 "(x + 2)" = the third number in the sequence;

 "(x + 3)" = the fourth number in the sequence;

 "(x + 4)" = the fifth number in the sequence;

_____________________________________

Solve for the "fourth number in the sequence" ; or:  "(x + 3)" ;

_____________________________________

Given:  " x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 110 " ;

                     ↔   " x + x + 1 + x + 2 + x + 3 + x + 4 = 110 " ;

→  Solve for "x" ;  

→  then,  solve for "(x + 3)" ;  

     →  which is the fourth number in this sequence;

_____________________________________

→  " x + x + 1 + x + 2 + x + 3 + x + 4= 110 " ;

      "5x + 1 + 2 + 3 + 4= 110 " ;

      " 5x + 10 =  110 " ;

Solve for "x" :

     Subtract "10" from EACH SIDE of the equation; as follows:

      " 5x + 10 - 10 =  110 - 10 " ;

 to get :

      "  5x = 100 " ;

Now, divide EACH SIDE of the equation by "5" ;

to isolate "x" on one side of the equation; & to solve for "x" ;  as follows:

         5x / 5  = 100 / 5 ;

to get:

         "  x  = 20 "  .

_____________________________________

Now, to find the fourth number in the sequence:

 →  " (x + 3) " ;

→  Substitute "20" for "x" ;

    " x + 3 = 20 + 3 = 23" ;

_____________________________________

The answer is:  " 23 " .

The fourth number in the sequence is:  " 23 " .

_____________________________________

Let us check our work:

If there are five "5" numbers in the sequence, and "23" is the "fourth number" , then:  "24" is the "fifth number" .

As such:  "22" is the "third number" ;  "21" is the "second number" ; and "20" is the "first number" .  Is this consistent with:  "x = 20" as the "first number" ?  Yes!

Thus,  "20 + 21 + 22 + 23 + 25 = ?  110 ?  ? ;

→  20 + 21 = 41 ;

→  41 + 22 = 63 ;

→  63 + 23 = 86 ;

→  86 + 24 = 110 .    Yes!

_____________________________________

Hope this answer is helpful!

Best wishes in your academic pursuits—

 and within the "Brainly" community!

_____________________________________

Answer:

23

Step-by-step explanation:

Dion had 25.00 he purchased the following items for his younger brother using his money. If the tax purchase was 1.85 how much money did dion have left?

Answers

he has 77 cents left

1.95*3=5.85

3.60*2=7.20

2.48*3=7.44

1.89+5.85+7.20+7.44+1.85=24.23

25-24.23=0.77

Final answer:

Dion has $23.15 left after taking into account all of his purchases as well as the tax.

Explanation:

A simple subtraction issue from the subject of mathematics underlies this query. Dion started out with $25.00. We deduct this $1.85 from his initial sum to determine how much money Dion still has if he bought certain products and paid a tax of $1.85 on his purchases. Dion now has $23.15 left after subtracting $1.85 from the $25.00. This is an illustration of how you must deduct purchases and expenses from a total to determine the balance that is left.

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what are the solutions to he quadratic equation 3x^2+15-18=0

Answers


[tex]3 {x}^{2} + 15 - 18 = 0 \\ {3x}^{2} - 3 = 0 \\ {x}^{2} - 1 = 0 \\ {x}^{2} = 1 [/tex]
either x= +1
or x= -1

What’s 150 divided by 180 step by step?

Answers

150 can't go into 180 equally, so the answer is 1.2


3 less than a product of two numbers

Answers

Let x= #1 number

let y= #2 number

We would get xy-3 as the answer

ab-3 is the required expression for the sentence "3 less than a product of two numbers". Here a and b are two numbers.

we need to write expression for 3 less than a product of two numbers

What is product of two numbers?

The product is the multiplication of two integers.

Let a be one number

b be second number

Product of two numbers is ab.

as given 3 less than a product of two numbers

we get ab-3.

Therefore ab-3 is the required answer for 3 less than a product of two numbers.

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Explain the distance formula. Then use it to calculate the distance between A(1,1) and B (7,-7)

Answers

The distance formula is given by:

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]

We are given two points A and B as

A(1,1) and

B(7,-7)

so we have ,

x1 = 1 , y1=1

x2= 7 and y2=-7

Plugging these in the formula we have:

[tex]d=\sqrt{(7-1)^{2}+(-7-1)^{2} }[/tex]

d=√(36+64)

d=√100

d=10

Answer: The distance between A(1,1) and B(7,-7) is 10

Answer:

d=10 units

Step-by-step explanation:

Hello.

Step 1

the formula of the distance between two points is based on the Pythagorean theorem, which states that in a rectangle :

[tex]side^{2} +side^{2}=hypotenuse^{2}\\[/tex]

Now, suppose we have two points P1(X1,Y1) and P2(X2,Y2), the distance between the two points will be the hypotenuse of our triangle, the difference in x will be the adjacent leg, and the difference in coordinates in y will be our opposite leg.

adjacent side =X2-X1

opposite side=Y2-Y1

hypotenuse=distance between P1 and P2

replacing

[tex]adjacent\ leg^{2} +opposite\ leg^{2}=hypotenuse^{2}\\(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1})^{2}=(distance between\ P1\ and\ P2)^{2}\\ distance between\ P1\ and\ P2=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1})^{2}} \\\\[/tex]

we take only the positive root because it is a distance, a negative distance makes no sense

Step 2

find the distance between A(1,1) and B (7,-7) using the formula

Let

P1=A(1,1)

P2=B(7,-7)

put the values into the formula

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1})^{2}} \\let\\\\x_{1}=1,y_{1}=1,x_{2}=7,y_{2}=-7\\d=\sqrt{(7-1) ^{2} +(-7-(1))^{2}}\\d=\sqrt{(6) ^{2} +(-8)^{2}}\\d=\sqrt{36 +64}\\d=\sqrt{100}\\ d=10[/tex]

d=10 units

Have a good day.

bob loves his cows. He has 53 cows on his farm. Bob spends 10 minutes every day petting each cow. He spends 200 minutes twice a week grooming the cows. He spends an extra 5 minutes every day to feed one cow. How much time does he spend taking care of his cows each week

Answers

Bob has 53 cows and spends 10 min each day petting each cow.This is 530 minutes one day which is 3710 minutes in a week. 200 minutes twice a week is 400 minutes. 53 times extra 5 minutes is 265 everyday times 7 days a week which is 1855.

3710+400+1855=5965 minutes
99 hours and 25 minutes

Bob sure loves his cows...

Bob spends 4,145 minutes per week taking care of his cows; this includes petting all 53 cows daily, grooming twice a week, and feeding one cow daily.

To calculate the time Bob spends taking care of his cows each week, we need to consider each activity separately and then add the times together:

Petting each cow: 10 minutes per cow per day    
Bob has 53 cows, so that's 10 minutes
53 cows = 530 minutes per day. Since there are 7 days in a week, this activity totals 530 minutes/day
7 days = 3,710 minutes per week.Grooming cows: He spends 200 minutes twice a week on grooming which totals to 200 minutes
2 = 400 minutes per week for grooming.Feeding one cow: An extra 5 minutes per day for one cow would total to 5 minutes
7 days = 35 minutes per week for feeding one cow.

Adding these three amounts together gives us a total time spent on care: 3,710 minutes (petting) + 400 minutes (grooming) + 35 minutes (feeding one cow) = 4,145 minutes per week.

Lori was paid a 15 percent commission for the home audio system that she sold. The electronics store had marked up the price of the system by 60 percent over the wholesale price of $264. How much did Lori earn for the sale of the home audio system? $15.84 $23.76 $39.60 $63.36

Answers

The wholesale price of the home audio system is = $264

The electronics store had marked up the price of the system by = 60%

So, the additional price becomes= [tex]\frac{60}{100}*264[/tex] = $158.40

Total price of the audio system now becomes = 264+158.40 = $422.40

As Lori was paid commission of = 15% on 422.40, so her commission becomes = [tex]\frac{15}{100}*422.40[/tex]

= $63.36

Hence, option D is correct.



Answer:

Lori was paid a 15 percent commission for the home audio system that she sold. The electronics store had marked up the price of the system by 60 percent over the wholesale price of $264. How much did Lori earn for the sale of the home audio system?

Answer is=$63.36

Step-by-step explanation:

I am doing a unit test on it.

nick can read 3 pages in 1 minute. write the ordered pairs for nick reading 0,1,2, and 3 minutes.

Answers

(0, 0) 0 pages in zero minutes.

(3, 1) 3 pages in one minute.

(6, 2) 6 pages in two minutes.

(9, 3) 9 pages in three minutes.

Identify the quotient and the remainder. (24x3 − 14x2 + 20x + 6) ÷ (4x2 − 3x + 5) = Q + R 4x2 − 3x + 5

Answers

Answer:

Quotient : 6x+1

Remainder : -7x+1

Step-by-step explanation:

got it right on assignment

Using the long divison method, Therefore, remainder is calculated and quotient values are ( - 7x - 1) and 6x + 1 respectively.

Dividend = 24x³ - 14x² + 20x + 6

Divisor = 4x² - 3x + 5

__________| 6x + 1 - - - - - - - - - - - - Quotient

___________

4x² - 3x + 5 | 24x³ - 14x² + 20x + 6

__________|24x³ -18x² + 30x

-_______________4x² - 10x + 6

-_______________4x² - 3x + 5

___________________-7x - 1 - - - - - - - - Remainder

Therefore, remainder is calculated and quotient values are ( - 7x - 1) and 6x + 1 respectively.

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simplify final form.

Answers

[tex]\left(\dfrac{3}{\sqrt5}\right)\left(\dfrac{4}{\sqrt3}\right)=\dfrac{3\cdot4}{\sqrt5\cdot\sqrt3}=\dfrac{12}{\sqrt{5\cdot3}}=\dfrac{12}{\sqrt{15}}\\\\=\dfrac{12\cdot\sqrt{15}}{\sqrt{15}\cdot\sqrt{15}}=\dfrac{12\sqrt{15}}{15}=\dfrac{12\sqrt{15}:3}{15:3}=\dfrac{4\sqrt{15}}{5}[/tex]

[tex]Used:\\\\\sqrt{a}\cdot\sqrt{b}=\sqrt{ab}\\\\\sqrt{a}\cdot\sqrt{a}=a[/tex]

What is the perimeter of the quadrilateral 9m 5m 7m 11m

Answers

The perimeter is 32m add all sides to find perimeter


The answer is 32m.

the way you would find out is by adding up all the measurements. so you would do

9+5+7+11

which would get you the final answer of 32m. make sure you dont forget the units.

Culinary Arts AGAIN!!! Please help me

Answers

Dived the price by the number of ounces and that should be your answer to the questions .

What are the missing parts that correctly complete the proof?

Given: Point Q is on the perpendicular bisector of segment M N. Prove: Point Q is equidistant from the endpoints of segment M N. Art: A horizontal line segment M N with X as the midpoint is drawn. A vertical line X Q is drawn. Q is above the horizontal line. The angle Q X N is labeled as a right angle. The line segments M X and N X are labeled with a single tick mark. A dotted line is used to connect point Q with point M. Another dotted line is used to connect point Q with point N.

Drag the answers into the boxes to correctly complete the proof.
Statement Reason
1. Point Q is on the perpendicular bisector of MN¯¯¯¯¯¯¯. Given
2. Definition of bisector
3. ​ ∠QXM ​ and ∠QXN are right angles. Definition of perpendicular
4. ∠QXM≅∠QXN
5. Reflexive Property of Congruence
6. △QXM≅△QXN
7. Corresponding parts of congruent triangles are congruent.
8. Point Q is equidistant from the endpoints of MN¯¯¯¯¯¯¯. Definition of equidistant
Definition of bisectorGivenASA Congruence PostulateSAS Congruence PostulateQM¯¯¯¯¯¯≅QN¯¯¯¯¯¯MX¯¯¯¯¯¯≅NX¯¯¯¯¯¯QX¯¯¯¯¯¯≅QX¯¯¯¯¯¯All right angles are congruent.

Answers

Answer:

Point Q is equidistant from the endpoints of segment M N by  Definition of equidistant.

Step-by-step explanation:

1. Point Q is on the perpendicular bisector of MN¯¯¯¯¯¯¯. Given

2.MX¯¯¯¯¯¯≅NX------------------------ Definition of bisector

3. ​ ∠QXM ​ and ∠QXN are right angles. Definition of perpendicular

4. ∠QXM≅∠QXN----------------------All right angles are congruent.

5.QX¯¯¯¯¯¯≅QX ----------------------- Reflexive Property of Congruence

6. △QXM≅△QXN -----------------------Congruence PostulateSAS

7.QM¯¯¯¯¯¯≅QN-------------------------------Corresponding parts of congruent triangles are congruent.

8.Point Q is equidistant from the endpoints of MN¯¯¯¯¯¯¯. Definition of equidistant

Answer:

Point Q is equidistant from the endpoints of segment M N by  Definition of equidistant.


Step-by-step explanation:

Statement                                                                          Reason

1. Point Q is on the perpendicular bisector of MN           Given


2.MX≅NX-                                                                           X is mid point of MN

3. ​ ∠QXM ​ and ∠QXN are right angles.                            Perpendicular line


4. ∠QXM≅∠QXN                                                                Both right angles


5.QX≅QX                                                                            Reflexive Property  


6. △QXM≅△QXN                                                                SAS   Congruence


7.QM≅QN                                                                            CPCTE property


8.Point Q is equidistant from the endpoints of MN           . Definition of equidistant



Drag each expression to show whether it is equivalent to 36x + 9, 9(4x – 1), or (4 • 9x) + (4 • 2).

Answers

Start with expressions in blue boxes:

1st column) [tex]36x+9;[/tex]

2nd column) [tex]9(4x-1)=36x-9;[/tex]

3rd column) [tex](4\cdot 9x)+(4\cdot 2)=36x+8.[/tex]

You have 6 expressions. Consider all them:

1. [tex]36x+8[/tex] - 3rd column;

2. [tex](9\cdot 4x)+(9\cdot 1)=36x+9[/tex] - 1st column;

3. [tex](3\cdot 12x)-(3\cdot 3)=36x-9[/tex] - 2nd column;

4. [tex]9(4x+1)=36x+9[/tex] - 1st column;

5. [tex]36x-9[/tex] - 2nd column;

6. [tex]4(9x+2)=36x+8[/tex] - 3rd column.

Answer:

The equivalent expressions are:

[tex]36x + 9=(9\cdot 4x) + (9\cdot 1)=9(4x + 1)[/tex]

[tex]9(4x-1)=36x-9=(3\cdot 12x)-(3\cdot 3)[/tex]

[tex](4\cdot 9x)+(4\cdot 2)=4(9x+2)=36x+8[/tex]

Step-by-step explanation:

Consider the provided expressions.

[tex]36x + 9[/tex]

The expression [tex]36x + 9[/tex] can be written as:

[tex]36x + 9=(9\cdot 4x) + (9\cdot 1)[/tex]

[tex]36x + 9=(9\cdot 4x) + (9\cdot 1)=9(4x + 1)[/tex]

Consider the expression [tex]9(4x-1)[/tex]

The expression [tex]9(4x-1)[/tex] can be written as:

[tex]9(4x-1)=36x-9[/tex]

Take 3 common.

[tex]9(4x-1)=36x-9=(3\cdot 12x)-(3\cdot 3)[/tex]

Consider the expression [tex](4\cdot 9x)+(4\cdot 2)[/tex]

The expression [tex](4\cdot 9x)+(4\cdot 2)[/tex] can be written as:

Take out 4 common

[tex](4\cdot 9x)+(4\cdot 2)=4(9x+2)[/tex]

Open the parentheses.

[tex](4\cdot 9x)+(4\cdot 2)=4(9x+2)=36x+8[/tex]

The O! Natural Company sells a juice in 1 gallon bottles. The current retail price of the juice is $3.50 for 1 gallon. In order to remain competitive, the company will decrease the price to $3.20. What percent of the original price are consumers going to pay?

Answers

Answer:

After the discount, the customer will pay only 91.4% of the initial price.

Step-by-step explanation:

We have that the price of the current retailer, in dollars, is:

3.50

After the discount, the new price, in dollars, is:

3.20

We want to know what percentage of the original price is the final price.

To find out, we must divide the final price between the initial price and then multiply the result by 100%

So:

[tex]\frac{ 3.20}{3.50}[/tex]*100% = 0.914. * 100% = 91.4%

After the discount, the customer will pay only 91.4% of the initial price.

The discount percentage you are going to pay is 100% -91.4% = 8.6% of the initial price

Factor completely 12x4 + 6x3 + 18x2.

Prime
3(4x4 + 2x3 + 6x2)
3x2(4x2 + 2x + 6)
3x(4x3 + 2x2 + 6x)

Answers

Answer:

B)3x^2 (4*x^2 + 2x + 6)

Step-by-step explanation:

Step 1: Find the Greatest common factor of the given expression.

12x^4 + 6x^3 + 18x^2

The above expression can be written as .

= 2*2*3*x^4 + 2*3*x^3 + 2*3*3*x^2

Here 3x^2 is prime factor


Step 2: Let's take out the 3[tex]x^{2}[/tex] and write the remaining terms in the parenthesis.

= 3x^2 (2*2*x^2 + 2x + 2*3)

= 3x^2 (4x^2 + 2x + 6)

Therefore, the answer is B)3x^2 (4*x^2 + 2x + 6)

Thank you.

(07.07 LC)A bus pass costs $9 per week. Which of the following equations shows the total cost in dollars, t, of the bus pass for a certain number of weeks, w? t = 9 + w t = 9w w = 9 + t w = 9t

My sister needs help on this, and I don't remember how to solve it.

Answers

Hello,

The correct answer is B) t = 9w

Hope this helps!!!! (:

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I was reading the comments from the other person who answered and I'm guessing both of you don't know what Mean Absolute Deviation (MAD) means.... I'm going to show you an example.......

For example:

2, 2, 4, 4

2 + 2 + 4 + 4 = 12 ÷ 4 = 3

12 ÷ 4 (because there are exactly 4 numbers)

Mean: 3

Mean Definition: The mean is the average of the numbers. To calculate it: add up all the numbers, then divide by how many numbers there are.

Mean Absolute Deviation (MAD):

2, 2, 4, 4          Mean: 3

(2 - 3) + (2 - 3) + (4 - 3) + (4 - 3) = 4 ÷ 4 = 1

Mean Absolute Deviation: 1

4 ( because I subtracted all the numbers and then added it all together) ÷ 4 (because there are exactly 4 number)

I hope your getting it because if you do it on paper it's easier.

Hope these helps!!!! Happy Holidays!!!! (:


simplify the negative square root of negative 75

Answers

he negative square root of negative 75

= - √-75

= - √(25 * 3 * i^2)          ...............because i^2 = -1

= - 5i√3

Final answer:

The negative square root of -75 simplifies to [tex]5\sqrt{3}i[/tex] in the complex number system. 'i' is the imaginary unit, where i is the square root of -1.

Explanation:

In Mathematics, we cannot take the square root of a negative number in the set of real numbers. However, we use the concept of imaginary numbers where i is the square root of -1. Therefore, to simplify the negative square root of negative 75, we begin to simplify the terms inside the square root. Negative 75 can be factored into -1 and 75. Therefore, the square root of -75 is[tex]\sqrt{75}i[/tex], where the square root of 75 can further simplifies it to[tex]5\sqrt{3}i[/tex] , making the final answer [tex]5\sqrt{3}i[/tex]

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error analysis 7 3/4 divided 1/3

Answers

I don't really under stand what to do but the answer for 7 3/4 divided by 1/3 is 23 1/4.

Let me know what else is needed to figure out your question.

identify all the square root of perfect squares.


196−−−√

75−−√

2√

25−−√

81−−√

200−−−√

Answers


196−−−√

25−−√

81−−√

Should be your perfect squares!

Final answer:

Square roots of given perfect squares are 14, 5, 9. Two of given numbers are not perfect squares (75 and 200) and one number is not defined in this context (2).

Explanation:

The square root of a number is a value that when multiplied by itself gives the original number. In other words, √a*b = a if and only if b=a*a. A perfect square is a number that is the square of a whole number. So, the task here is to find the numbers that are perfect squares and then find their square roots.

196 is a perfect square, as 14*14=196, so the square root is 14.

75 is not a perfect square so we do not need to find its square root.

Given '2' is not properly defined in this context, so we can't identify the square root.

25 is a perfect square, as 5*5=25, so the square root is 5.

81 is a perfect square, as 9*9=81, so the square root is 9.

200 is not a perfect square so we do not need to find its square root.

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