many graduate schools require applicants to take a certain test those taking the test received three scores a verbal reasoning score a quantitative reasoning score and an analytical writing score in 2013 the average quantitative reasoning score exceeded the average verbal reasoning score by 1.1 points and the average verbal reasoning score exceeded the analytical writing score by 143.2 points the sum of the three average scores was 315.1 what was the average score for each category

Answers

Answer 1

Answer:

The average verbal reasoning score: 152.4

The average quantitative reasoning score: 153.5

The analytical writing score: 9.2

Step-by-step explanation:

Let's call A the average verbal reasoning score, B the average quantitative reasoning score and C the analytical writing score.

Then, if the average quantitative reasoning score exceeded the average verbal reasoning score by 1.1 points, we can write the following equation:

B = A + 1.1     (eq. 1)

At the same way, if the average verbal reasoning score exceeded the analytical writing score by 143.2 points, we can write the following equation:

A = C + 143.2   or

C = A - 143.2          (eq. 2)

Finally, the sum of the three average scores was 315.1, so:

A + B + C = 315.1              (eq. 3)

Then, replacing equation 1 and 2 in equation 3:

A + B + C = 315.1

A + (A + 1.1) + (A - 143.1) = 315.1

Solving for A:

A + A + 1.1 + A - 143.2 = 315.1

3A = 315.1 - 1.1 + 143.2

3A = 457.2

A = 152.4

Replacing the value of A in equation 1 and 2:

B = A + 1.1 = 152.4 + 1.1 = 153.5

C = A - 143.2 = 152.4 - 143.2 = 9.2

So, the average score for each category is:

The average verbal reasoning score: 152.4

The average quantitative reasoning score: 153.5

The analytical writing score: 9.2


Related Questions

PLSSSSSS HELPPPP MEEE WITHH THISS QUESTION ASAP NO GUESSING AND ANSWER CORRECTLY!!!!!!


Which of the following can be used to describe the crowds who attended Jackson's inauguration ceremony?



A. very crowded

B. violent

C. rowdy

D. not crowded

WILL BE MARKING BRAINIEST!!!!! SO PLEASEE SHOW, EXPLAIN, AND PUT EFFORT PLSSSSSSS!!!!!!


DO NOT PLSSS DO NOT JUST GUESS PLS OR THEN ILL REPORT U (YOU WILL HAVE 1 WARNING). SO PLSSS DO NOT GUESS AND ANSWER CORRECTLY PLS AS I MENTIONED BEFORE!!!!!!!!!!!!!!!

Answers

Answer:A.Very Crowded

I am 100% positive

Step-by-step explanation:

The first arrivals were the people who made up Washington society. ... Jackson found himself pressed into a situation with his back to a wall until his people were able to get him away from the crowd, and back to his hotel. The sheer number of people inside the White House led to collisions with furniture and food and yeah.

Factorise fully the following:
a) 3x + 18
b) 2x - 14
c) 6x + 4
d) 9x - 15

Answers

Answer:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps.

a) 3(x+6)
b) 2(x-7)
c) 2(3x+2)
d) 3(3x-5)

Divide the difference between 70 and 20 by 25.

Answers

Answer:

The Answer is 2

Step-by-step explanation:

70 - 20= 50 and if you divide by 25 you get 2. Because 25 times 2 = 50 hope it helps

Answer:

2

Step-by-step explanation:

Subtract 70 and 20

70 - 20

Simplify

50

Divide 50 by 25

50/25

Simplify

2

PLEASEE HELPP ME WITH THIS QUESTION I NEED HELP PLSSSS NO GUESSING ANSWER IT CORRECTLY GIVE SPECIFIC REASONS!!!!!!! ASAP!!!!

Answers

Step-by-step explanation:

Stem and leaf plots are best suited for data with a small number of place values such as 7, 30, or maybe even 340. The numbers in the data set are rather large and hard to demonstrate with a stem and leaf plot. Therefore, it probably isn't your best option. Hope this helps!

Answer:

A stem and leaf plot shouldn't be used because the numbers are more than two digits long. These numbers are more varied, so it isn't correct for a stem and leaf plot. The stem is usually the tens digit, and the leaf is the ones digit. When you have four digits, it would get infinite times more hard and complicated. Hope that helped!

The surface area of the prism is 298 square feet. Find the value of x

Answers

Answer:

We can make an equation

2 * 7x + 2 * 4x + 2 * 4 * 7 = 298

14x + 8x + 56 = 298

22x = 298 - 56

22x = 242

x = 242/22

x = 11

If the surface area of the prism is 298 square feet, the value of x is 11 feet.

To find the value of x, we need to use the formula for the surface area of a rectangular prism:

Surface Area (SA) = 2lw + 2lh + 2wh,

where l is the length, w is the width, and h is the height of the prism.

Given that the length (l) is 7 ft and the width (w) is 4 ft, and the surface area (SA) is 298 square feet, we can set up the equation:

298 = 2(7)(x) + 2(7)(4) + 2(4)(x).

Now, simplify the equation:

298 = 14x + 56 + 8x.

Combine like terms:

298 = 22x + 56.

Now, isolate x by moving the constant term to the other side of the equation:

22x = 298 - 56,

22x = 242.

Finally, solve for x:

x = 242 / 22,

x = 11.

In summary, the height of the rectangular prism is 11 feet, and this value is obtained by using the surface area formula and solving the resulting equation.

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Solve the equation.
8x − 5 = 12x + 1

A: -1
B: -1/5
C: -3/2
D: -3/10

Answers

Answer:

C

Step-by-step explanation:

8 (-1.5) - 5 = 12 (-1.5) + 1

-17 = -17

solve for x in the equation x^2 + 20x + 100 =36

Answers

Answer:

x1 = -4, x2 = -16

Step-by-step explanation:

1.- equal the equation to 0

x^2 + 20x + 100 - 36 = 0

x^2 + 20x + 64

2.- factor to simplify.

(x + 4)(x + 16) = 0

3.- equal each factor to 0 and solve for x.

x + 4 = 0,   x = -4

x + 16 = 0,   x = -16

Answer: A.) x = -16 or x = -4

Step-by-step explanation:

correct on Edge 2021 ✅

The Drama club is holding auditions for 5 different parts in a one act play . If 9 people audition how many ways can the role be assigned

Answers

Answer:

15,120

Step-by-step explanation:

i got it correct

answer: 15,120 for (plato/edmentum users).

It took Julius 1/3 of an hour to ride his bike 2 3/4 of a mile. How many miles per hour can he ride his bike?

Answers

Answer: 33/4 miles per hour

Step-by-step explanation:

Hi, to answer this question we simple have to divide the distance travelled by the bike (2 3/4) by the time spent (1/3)

Speed rate = distance /time

Replacing with the values given:

S = 2 3/4 ÷ 1/3 = (2x4+3)/4 ÷1/3 =11/4 ÷1/3= 33/4 miles per hour

Feel free to ask for more if needed or if you did not understand something.

PLEASE HELP thank you!!

Answers

Surface area:
5x4
5x8
5x8
4x5
4x5
4x5
4x8x2
4x4x2
Sum=256 in^2

Kelvin makes a map of his apartment using a coordinate system with yards as the units. The point (-9,8) represents the main entrance of the apartment and the point (-5,6) represents the location of the kitchen. Approximately how far apart are the main entrance and the kitchen?

Answers

Answer:

-(4,2)

Step-by-step explanation:

what is the equation for this graph’s lone of best fit.
this is due today pls help

Answers

Answer:

I don't know if your question is multiple choice or not but here's a close estimate to what it should be.

y = [tex]\frac{3}{4} x[/tex]  

Step-by-step explanation:

Obviously at a drop of 0 height there would be 0 rebound height so your y-intercept has to be 0.

As for the slope of the line I used the point at 2.5 and 3.

Here are the coordinates (2.5, 1.25) and (3, 1.625)

Find the average rate of change as you see below

1.625 - 1.25 = .375

3 - 2.5 = .5

.375 / .5 = .75 or 3x/4

The points aren't exactly on the line and the graph isn't 100% linear so obviously the equation is not 100% precise. The slope should very close to 0.75 or 3/4.

Select the correct answer from each drop-down menu. When she was 20, Liz started saving $6,000 a year for retirement. Her goal is to reach $100,000 in savings by the time she's 30. Her account earns 8% interest per year, compounded annually. Liz have saved $100,000 by age 30. She'll her goal by about .

Answers

Answer:

She will by about 37 years not 30 years

Step-by-step explanation:

Explanation is in attached picture

A shipping box has the dimensions shown. What is the volume of the box in cubic yards?
À yard
yard
yard
Not drawn to scale.
1
yo
16 Yd3
32 Yd3
20 Y3

Answers

The question above is not compleye because it lacks the diagram box the shipping box.

Find attached to this answer the diagram of the shipping box which contains the question and the appropriate options to choose from.

Answer:

1/32 cubic yards or 1/32 yards³ (yd³)

Step-by-step explanation:

Looking at the attached diagram, the shipping box has the shape of a cube.

Therefore, the volume of the shipping box is calculated as :

Length × Width × Height

Where the

Length = 1/2 yard

Width = 1/4 yard

Height = 1/4 yard

Volume of the shipping box = 1/2 yard × 1/4 yard × 1/4 yard

= 1/32 cubic yards or 1/32 yards³ (yd³)

I NEED HELP ASAP! WILL MARK YOU AS BRAINLIEST!

Answers

Coordinate of C;

[tex]( \frac{(1 - 3)}{2} , \frac{(2 - 4)}{2} )[/tex]

apply the formulae, replace the variables with the given values.

Slope;

[tex]m = \frac{(4 - 2)}{(3 - 1)} [/tex]

again, apply the formulae, replace the variables with the given values.

calculate it urself, ive done enough

Answer:

Answers below in bold.

Step-by-step explanation:

Midpoint formula:

[tex](\frac{1+3}{2} , \frac{4+2}{2} )[/tex]=

[tex](\frac{4}{2} , \frac{6}{2} )=[/tex]

(2, 3)

Point C is on the point (2, 3)

Slope:

[tex]\frac{4-2}{3-1} =[/tex]

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

1

The slope is going at y=x+1

At a factory, 450 bottles of ketchup are produced each hour.Write an equation that can be used to show the relationship between time in hours (h) and the number of bottles (B) of ketchup produced.

Answers

Answer:

450 × n

Step-by-step explanation:

Let B be the number of bottles of ketchup

Let h be the time taken in hours

For 1 hour, 450 bottles of ketchup are produced

For n hours, 450 × n bottles of ketchup will be produced

Help ASAP please!!!!!

Answers

Answer:

(-3,-1)

Step-by-step explanation:

Use a graphing tool to graph the given lines.

When graphed, the lines pass at (-3,-1).

Therefore, (-3,-1) is the solution.

The lengths of the pieces of lumber that a carpenter has are shown in the table.
2 ft 3 ft 6 ft 1.5 ft 4.5 ft 1 ft
3. Find the mean length. 4. Find the median length.

Answers

Answer:

The mean length is 3 ft

while the median length is 2.5 ft

Step-by-step explanation:

The mean length is the sum of the lengths divided by the count of the lengths.

Mathematically, that is;

(2 + 3 + 6 + 1.5 + 4.5 + 1)/6 = 18/6 = 3 ft

To calculate the median length, we first need to rearrange the lengths in increasing order

1, 1.5, 2, 3, 4.5, 6

Now, looking at these lengths, the middle lengths are 2ft and 3ft

we can add both together and divide by 2

That would be (2+3)/2 = 5/2 = 2.5 ft

Answer:

Mean length = 3ftMedian length = 2.5ft

Step-by-step explanation:

Given the lengths of the pieces of lumber that a carpenter has as shown;

2 ft, 3 ft, 6 ft, 1.5 ft, 4.5 ft, 1 ft

3) The mean length is expressed as the ratio of the sum total of the lengths to the total amount of pieces of lumber given.

Mathematically; Mean ([tex]\overline x[/tex]) = [tex]\frac{\sum Xi}{N}[/tex]

Xi is the individual length

N is the total amount of pieces of lumber = 6pieces

[tex]\overline x = \frac{2+3+6+1.5+4.5+1}{6} \\\overline x = \frac{18}{6} \\\overline x = 3ft[/tex]

4) Median is the value at the middle of the given lengths after rearrangement. Rearrangement can either be ascending or descending.

Rearranging the data in ascending order we have;

1ft, 1.5ft, 2ft, 3ft, 4.5ft, 6ft

The two lengths at the middle are 2ft and 3ft. Taking the average of the two values since we cannot have 2 median values.

Median = 2+3/2

median = 2.5ft

what is the percentage of 40 out of 100?​

Answers

Answer:

40%

Step-by-step explanation:

Convert fraction (ratio) 40 / 100 Answer: 40%

Shape 1 and 2 are plotted on a coordinated plane. Which statement about the shape is true?

Answers

Answer:

There's nothing to answer to that question, can you be specific.

Step-by-step explanation:

Mr. Schultz needs $200 to buy some new Jordan shoes. He was given $75 for his birthday. Which equation best represents x, the amount of money Mr. Schultz needs to save to buy the shoes? *


x + 75 = 200


75x = 200


200x = 75


x - 75 = 200


Answers

Answer:

The equation best represents x, the amount of money Mr. Schultz needs to save to buy the shoes is 75+x=200

Step-by-step explanation:

Mr. Schultz was given amount on his birthday = $75

We are given that Mr. Schultz needs $200 to buy some new Jordan shoes.

Let x be the amount of money Mr. Schultz needs to save to buy the shoes

So, Total Amount saved = 75+x

Total cost of shoes = $200

So, 75+x=200

So, The required equation is 75+x=200

So, Option A is true

Hence The equation best represents x, the amount of money Mr. Schultz needs to save to buy the shoes is 75+x=200

Solve for x
-5(-2-5)-x-1=-12

Answers

Answer:

46

Step-by-step explanation:

-5(-2-5)-x-1=-12

-5(-7)-x-1=- 12

35 - x - 1 = -12

34 - x = -12

-x = -12 - (-34)

-x = - 46

x = 46

Answer:

[tex]x=46[/tex]

Step-by-step explanation:

[tex]-5\left(-2-5\right)-x-1=-12[/tex]

⟹ Subtract -2 and 5 = -7

[tex]5\left(-2-5\right)[/tex][tex]5\left(-7\right)[/tex]

⟹ Remover parentheses:

[tex]5\times7[/tex][tex]-35[/tex]

[tex]-\left(-35\right)-x-1=-12[/tex]

⟹ Apply rule: [tex]-\left(-a\right)=a[/tex]

[tex]35-x-1=-12[/tex]

⟹ Combine like terms:

[tex]-x+35-1=-12[/tex][tex]\:35-1=34[/tex][tex]-x+34=-12[/tex]

⟹ Subtract 34 from both sides:

[tex]-x+34-34=-12-34[/tex][tex]-x=-46[/tex]

⟹ Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-46}{-1}[/tex][tex]x=46[/tex]

___________________

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___________________

I have absolutely no idea what’s going on

Answers

Answer:

The hypotenuse( longer side) of the triangle = [tex]c^{2} = a^{2} +b^{2} \\Therfore, c = \sqrt a^{2} +b{2}\\ \\[/tex]

Step-by-step explanation:

Here, side =c

Therfore, area = c *c

That is [tex]a^{2} +b{2}[/tex] = 50[tex]^{2} + 35^{2}[/tex] = 3250 = 57 units sq

I need help with this

Answers

Answer:

.25

Step-by-step explanation:

.5 x .5 = .25

.25


Explanation: it is

A square with side length 4.6 is enlarged by a factor of 4 . What is it’s new area ?

Answers

Answer:

A =338.56 units ^2

Step-by-step explanation:

The area  is now

A = (SF)^2 * s^2

where s is the side length and SF is the scale factor

A = (4)^2 (4.6)^2

A =338.56

What is the volume of a circle

Answers

Answer:

volume = 4/3 × pi × r^3

Step-by-step explanation:

Answer:

Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume.

Circumference   =   2 • π • radius   =   π • diameter

Circle Area   =       π • r²     =     ¼ • π • d²

The circumference of a circle is directly proportional to its radius. The ratio between a circle's circumference and its diameter is pi, a constant that equals approximately 3.142. The circle's diameter, in turn equals twice the radius. A regular solid that has a circle as a face is called a cylinder. Like all geometric prisms, a cylinder's volume is the product of its cross-sectional area and its length. The cross-sectional area is the area of its circle, and you can calculate it from the circle's radius. Multiply the circle's radius by 2 to calculate its diameter. For instance, if the radius equals 6 inches, compute as follows to determine the diameter: 6 x 2 = 12 inches. Multiply the diameter by pi to get the circle's circumference: 12 x 3.142 = approximately 37.7 inches. Find the square of the radius: 6 x 6 = 36 square inches. Multiply the answer determined in Step 3 by pi to get the circle's area: 36 x pi = 113 square inches. Multiply the circle's area by the cylinder's length to obtain the volume. If the length is, for instance, 10 inches, then compute as follows: 113 x 10 = 1,130 cubic inches.

Which best describes the error in finding the percent increase from 18 to 26? The denominator should be 18, which is the original amount. The numerator should be 18, which is the original amount. The numerator should be 26, which is the new amount. The denominator should be 18, which is the new amount. The expression was simplified incorrectly. Question 2 Correct the error. Round your answer to the nearest whole number. The percent increase from 18 to 26 is about %.

Answers

Answer:

The percentage increase is 44.44%

What best describes the error is that the denominator should be 18 which is the original amount

Step-by-step explanation:

Here, we are to calculate the percentage increase from 18 to 26

Mathematically, we can calculate this with the following formula;

(New value - old value)/old value * 100%

Where the new value is 26 and the old value is 18. Plugging these values, we have;

(26-18)/18 * 100%

8/18 * 100% = 44.44% increase

The error in finding the percent increase from 18 to 26 is, The numerator should be 18, which is the original amount.

The percentage increase from 18 to 26 is about 44.4%.

We have to give that,

To find the percent increase from 18 to 26.

Now, The process to find a percent increase from 18 to 26 is,

(26 - 18) / 18 x 100%

= 8/18 x 100%

= 800/18%

= 44.4%

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Given that triangle TRA ~ triangle NGL, find the value of x.

A. x=3.5

B. x=4

C. x=4.5

D. x=5

Answers

Answer:

Two triangles are similar.

=> RT/GN = TA/NL

=> 4/x = 8/(x + 5)

=> 4x + 20 = 8x

=> 4x = 20

=> x = 5

=> Option D is correct

Hope this helps!

:)

Convert 102.221four to base ten

Answers

Answer:

4777

Step-by-step explanation:

compute: 2 3/4 ÷(1 1/2 − 2/5 ) PLZ HELP

Answers

Answer:

[tex]\frac{5}{2}[/tex]

I hope I helped you! If my answer is correct, please mark me brainiest. Thanks!

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