9. The maximum value of a data set
consisting of 25 positive integers is 84. A
new data set consisting of 26 positive
integers is created by including 96 in the
original data set. Which of the following
measures must be 12 greater for the new
data set than for the original data set?​

Answers

Answer 1

Answer:

Let m be the minimum value of original data set.

Given -

The range of original data set = 84 -mA new data set consists of 26 positive integers and 96 original data set.

Therefore, the range of new data set is 96-m.

Now, we can find the difference between two ranges by subtracting the ranges -

[tex] \\ \implies \sf \: (96 - m) - (84 - m) \\ \\ \\ \sf \footnotesize \: using \: \: distributive \: \: property \: - \\ \\ \\ \bf \: it \: \: will \: \: be \: \: equal \: \: to \: \: 12. \\ [/tex]

Therefore, the range of the new data set must be greater than the range of original data set.


Related Questions

a regular polygon has 20 sides the measure of an exterior angle of polygon is​

Answers

Answer:

198 degrees

Step-by-step explanation:

Such a shape is called a 20-gon, such shapes have an interior angle of 162. Hence, the exterior angle = 360 (Complete angle) - 162 (The interior anlge) = 198 degrees, Hope my answer helps you, Thank you, and please add me as brainliest! Thanks

Answer:

Step-by-step explanation:

Such a shape is called a 20-gon, such shapes have an interior angle of 162. Hence, the exterior angle = 360 (Complete angle) - 162 (The interior anlge) = 198 degrees, Hope my answer helps you, Thank you, and please add me as brainliest! Thanks and Godbless

Find the general solution of the homogeneous system below. Give your answer as a vector.
x1 + 2x2 - 3x3 = 0
4x1 + 7x2 - 9x3 = 0
-x1 - 3x2 + 6x3 = 0

Answers

Answer:

Step-by-step explanation:

Given the system of homogeneous equations

x1 + 2x2 - 3x3 = 0  ................. 1

4x1 + 7x2 - 9x3 = 0 ................... 2

-x1 - 3x2 + 6x3 = 0..................... 3

First we will reduce the equation to two equations and two unknowns;

add equation 1 and 3;

2x2-3x2 +(-3x3+6x3) = 0

-x2 + 3x3 = 0

x2 = 3x3 .......... 4

Multiply equation 3 by 4 and add to equation 2;

equation 3 * 4 will give;

-4x1 - 12x2 + 24x3 = 0..................... 5

add equation 5 to equation 2;

7x2-12x2-9x3+24x3 = 0

-5x2 - 15x3 = 0 .......... 6

5x2 = 15x3

x2 = 3x3

Let x2 = k

From equation 4;

k = 3x3

x3 = k/3

substitute x2 = k and x3 = k/3 into equation 1 to get x1 in terms of k

From 1, x1 + 2x2 - 3x3 = 0

x1+2k-3(k/3) = 0

x1 +2k-k = 0

x1 +k = 0

x1 = -k

Writing the answer in vector form will give (x1. x2. x3) = (-k, k, k/3)

k(-1, 1, 1/3)

Hence the answer to the system of equation in vector form is k(-1, 1, 1/3) where k is any constant.

which number can each term of the equation be multiplied by to eliminate the fractions before solving?
plzzz help

Answers

Answer:

12.

Step-by-step explanation:

Because 12 is the only number that comes in 2,3 as well as 4s table.

If f(x) = 4x – 2 and g(x) = 5x – 3, what is g(f(2))?

Answers

Step-by-step explanation:

f(2) = 4(2) - 2

= 8 - 2

= 6

g(f(2)) = g(6)

g(6) = 5(6) - 3

= 30 - 3

= 27

g(f(2)) = 27



You are given the list of numbers, -9, 8, 3.0,

2

5'

2.42, 1. Which numbers are rational? Irrational?

Answers

all of the numbers happen to be rational I THINK

Which operation should you perform last in the expression 12 × 4^2?

Answers

Answer:

Multiplication

Step-by-step explanation:

Follow GEMDAS or PEMDAS. I would recommend GEMDAS. GEMDAS stands for Grouping symbols, exponents, multiply, divide, addition, subtraction. GO form the order G to S

I need help with this geometry question​

Answers

Answer:

Angle [tex]AEC=80[/tex]°

Step-by-step explanation:

what is the square root of 2/8 as a decimal

Answers

The square root is 0.5

(B^2)(B^4)
Answer choices
B^8
B^6
B^2
2b^6

Answers

Answer:

Step-by-step explanation:

(B^2)(B^4) = B^(2+4)= B^6

answer is B

The Math 123 book includes about 230 pages (not including the back parts of the book). If you aim to complete 65% of all the pages, how many should you finish?

Answers

Answer: 150 pages

Step-by-step explanation:

I usually just multiply the number by the percentage and it works out just fine :)

Which of these relations are functions?

Answers

It’s the first one, so you’re correct

Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. slope = 7, passing through (1,-3)

Answers

Answer:

Step-by-step explanation:

y + 3 = 7(x - 1)

y  + 3 = 7x - 7

y = 7x - 10

If the revenue function for a particular commodity is R(p) = −53p2 + 64p, what is the (linear) demand function q(p)?

Answers

The Demand Function would be as follows:

[tex]Q = 64 - 53p[/tex]

What is Demand Function?

This shows the relationship between Price & Quantity, represents Quantity as a function of price.

Revenue is the total receipts from sale, with the formula [tex]= Price[/tex] × [tex]Quantity[/tex]

So,

[tex]Quantity = Revenue / Price[/tex]

Hence, dividing the given revenue equation by P, we get

[tex]Q = (- 53p^2 + 64p )[/tex][tex]/ pQ = - 53p + 64[/tex] {Demand Function}

So, above-mentioned [tex]Q = 64 - 53p[/tex] is the Demand Function.

To learn more about Demand Function, refer https://brainly.com/question/23029589?referrer=searchResults

I dont understand this​

Answers

Answer:

Nell's mom's

Step-by-step explanation:

That's a lot even if you devide, you can see the difference easier

mom= 30/2 = 15

dad = 65/5 = 13

The lesser milk the mother had made her chocolate more chocolatery, and you can see that she has a 0.2 more than the father

Answer:

The correct answer is Nell's mom.

Step-by-step explanation:

Nell's mom makes chocolate syrup with 30 ml for every chocolate syrup for every 2 ounces of milk.

Nell's dad adds 65 ml of chocolate syrup for every 5 ounces of milk.

To compare who makes a more chocolaty drink we need to have same amount of milk.

Least common multiple of 2 and 5 is given by 10.

Thus in 10 ounces of milk, Nell's mom adds 30 × 5 = 150 ml of chocolate syrup.

In 10 ounces of milk, Nell's dad adds 65 × 2 = 130 ml of chocolate syrup.

Thus on comparison we can say Nell's mom adds more chocolate syrup and hence makes a more chocolaty milk.

14 + 5(16 – 9) – 2 + 4 •12 =

Answers

The Answer Is 95

Hope This Help's

14 + 5(7) - 2 + (4x12) = 14 + 35 - 2 + 48 = 95

solve for x, UV and TV​

Answers

We know that TV = TU + UV. Let's plug the values from the picture into our equation.

x + 25 = 9 + 2x + 28.

Let's combine like terms on the right side.

x + 25 = 2x + 37

Subtract 37 and x from both sides.

-12 = x

TV = x + 25 = -12 + 25 = 13

UV = 2x + 28 = 2(-12) + 28 = -24 + 28 = 4

Answer:

.

Step-by-step explanation:

Help ASAP plssssssssssssssssss

Answers

Answer:

18

Step-by-step explanation:

Which problem can be solved with the equation 1.75+(-1.75)=0?

Answers

Answer:

bank account one is the answer

Step-by-step explanation:

bank account one is the answer

Hope it helps

Pls mark as brainliest

Problem number 4 is solved by the equation 1.75 + (-1.75).

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

In problem number 4, the question is the number Sam deposited in the amount of $1.75 and then purchased a movie ticket for $1.75.

The account balance will be represented by the equation.

Account = 1.75 + (-1.75)

The actual account balance will become zero.

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ5

36599 round to the nearest thousand 100,699 round to the nearest thousand

Answers

Answer:

36,599 rounded to the nearest thousand is 37,000

100,699 rounded to the nearest thousand is 101,000

hope this helps! best of luck <3

Answer:

37000

101000

Step-by-step explanation:

Which expression is equivalent to 7-3x+2


A. 7-x
B.7-2x
C.9-x
D.9-3x

Answers

Answer:

D

Step-by-step explanation:

7-3x+2=0

9-3x=0

-3x=-9

x=-9/-3

x=3

D)9-3x=0

-3x=-9

x=-9/-3

x=3

Please mark me as BRAINLIST

Suppose P(C) = 98%; P(D) = 88%; and P(C or D) = 33%.
Find P(C and D).
Can this really be a probability? If not, explain why not.

Answers

Answer:

[tex]P(C\ and\ D) = 153\%[/tex]

Step-by-step explanation:

Given

[tex]P(C) = 98\%[/tex]

[tex]P(D) = 88\%[/tex]

[tex]P(C\ or\ D) = 33\%.[/tex]

Required

[tex]P(C\ and\ D)[/tex]

In probability, the relationship between the given parameters and the required parameter is:

[tex]P(C\ and\ D) = P(C) + P(D) - P(C\ or\ D)[/tex]

Substitute values in the above formula

[tex]P(C\ and\ D) = 98\% + 88\% - 33\%[/tex]

[tex]P(C\ and\ D) = 153\%[/tex]

No, it can't be a probability

Because [tex]P(C\ and\ D) > 100\%[/tex]

How do u write 200+9+07+0.01 In written form

Answers

Answer:

297.01 In

Step-by-step explanation:

Calculate the average speed between 160 s to 200 s

Answers

[tex]v=(0-150)/(200-160)=-150/40=-3,75[/tex]Answer:

-3,75

Step-by-step explanation:

Velocity is the derivative of time displacement

The geometric meaning of the derivative-tangent of the angle of inclination of the tangent to the function.

6x-2=7x+9 find x plz help

Answers

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

[tex]6x-2=7x+9[/tex]

Add 2 to both sides:

[tex]6x-2+2=7x+9+2[/tex]

[tex]6x=7x+11[/tex]

Subtract 7x from both sides:

[tex]6x-7x=7x+11-7x[/tex]

[tex]-x=11[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]

[tex]x=-11[/tex]

Answer:

X= -11

Step-by-step explanation:

Simplifying

6x + -2 = 7x + 9

Reorder the terms:

-2 + 6x = 7x + 9

Reorder the terms:

-2 + 6x = 9 + 7x

Solving

-2 + 6x = 9 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-2 + 6x + -7x = 9 + 7x + -7x

Combine like terms: 6x + -7x = -1x

-2 + -1x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0

-2 + -1x = 9 + 0

-2 + -1x = 9

Add '2' to each side of the equation.

-2 + 2 + -1x = 9 + 2

Combine like terms: -2 + 2 = 0

0 + -1x = 9 + 2

-1x = 9 + 2

Combine like terms: 9 + 2 = 11

-1x = 11

Divide each side by '-1'.

x = -11

Simplifying

x = -11

what is the reciprocal of 2 8/9

Answers

9/26

2 8/9 = 26/9

Reciprocal of 16/9 is 9/26

What is the solution to the equation 4x = 52?

Answers

Answer:

x = 13

Step-by-step explanation:

4x = 52

x = 52/4

x = 13

Hope this helps!

The answer is the the question X=13

Susan is buying three different colors of tiles for her kitchen floor. She is buying 107 red tiles, and three times as many navy blue tiles as beige tiles. If susan buys 435 tilea all together, how many tiles of each color does susan buy?

Answers

You need to multiply 107x3 then that plus the 435- I think- hopefully that helps! :)

You pick a card at random 6,7,8,9. What is P (8)?

Answers

Answer:

1/4

Step-by-step explanation:

4z - 7y + 2 + 2y + 8y + 6z - 15

Answers

Answer: 3y + 10z - 13

Step-by-step explanation:

You combine like terms 4z and 6z which is 10z, then you combine 8y-7y+2y which is 3y, lastly you do 2-15 which is -13. So the simplified equation is 10z + 3y - 13!

Please help, I don't understand, please
5+(-5)

Answers

Answer: 0

Step-by-step explanation: To make this easier, ignore the addition sign (for this one, at least), so just do 5-5

Answer: 0

Step-by-step explanation:

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