Which of the statements below is true for the following set of numbers?
30, 25, 50, 75, 75, 60

Which Of The Statements Below Is True For The Following Set Of Numbers?30, 25, 50, 75, 75, 60

Answers

Answer 1

Answer:

The range and mid-range are equal

Step-by-step explanation:

the range is 75-25=50

the mid-range is (75+25)/2 = 100/2 = 50

50 = 50

Answer 2

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

30, 25, 50, 75, 75, 60

The range is the difference between the highest value and the lowest values in the given set of numbers.

Midrange = Range ÷ 2

Option A is the correct answer.

The range of the set of numbers is 50

The midrange of the set of numbers is 25

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

30, 25, 50, 75, 75, 60

The range is the difference between the highest value and the lowest values in the given set of numbers.

Now,

The lowest value is 25

The highest value is 75

Range = 75 - 25 = 50

Midrange = 50/2 = 25

Thus,

The range of the set of numbers is 50

The midrange of the set of numbers is 25

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Related Questions

how do i learn how to do divison without using a peice of paper, i wanna do it in my head, can i get some help?

Answers

Answer:I did lattice math over the summer in between 4th and 5th grade when I was bored and wanted to enjoy the sun and now I can do division in my head

Step-by-step explanation: go learn how to do lattice and then do it over and over again. Give yourself a prize time you do like 5 or something and do double digits to challenge yourself

Answer:

Abri do what i showed you on paper but in your head do the circles divide them into groups in your head ( also we are sister i am 13 she is younger i'm in 7th grade she is in 6th )

Step-by-step explanation:

Y=-2x on a graph line

Answers

Answer: Its gonna be a line going down to the right

Step-by-step explanation:

Form a union for the following sets.
K= {2, 3, 5, 8}
L = {3, 5, 7}
00)
O (3,5}
O [2, 3, 5, 7, 8]
O (2,7,8)

Answers

Answer:

The Correct option is third one { 2, 3 , 5 , 7 , 8 }.

Therefore,

KUL = { 2, 3 , 5 , 7 , 8 }

Step-by-step explanation:

Set:

A set in mathematics is a collection of well defined and distinct objects, also consist of a collection of elements.

Examples given here is

K = { 2, 3 , 5 , 8 }

K is a set consist of number two, three, five, and eight.

Similarly,

L = { 3 , 5 , 7 }

L is a set consist of number three, five, and seven.

Union:

The union of a collection of sets is the set of all elements in the collection.

It is denoted as ' ∪ '

Therefore,

(K∪L) = { 2, 3 , 5 , 7 , 8 }

It is the collection of set K and L both together.

Therefore,

KUL = { 2, 3 , 5 , 7 , 8 }

.
Paul has $35000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8%
interest and part at 14% interest. How much does Paul need to invest in each option to make get a total 11% return on
his $35000?
Investing for 8% return: $
9
Investing for 14% return: $
B

Answers

Answer:

$17,500 at 8%$17,500 at 14%

Step-by-step explanation:

The fraction that needs to be invested at the higher rate is ...

  (11% - 8%)/(14% -8%) = 3%/6% = 1/2

Half the money should be invested at each of the rates:

  $17,500 for 8% return

  $17,500 for 14% return.

_____

If you let x represent the amount at the higher rate, then the total return is ...

  14%x + 8%(35000 -x) = 11%(35000)

  (14% -8%)x = (11% -8%)(35000) . . . . subtract 8%·35000

  x = (11% -8%)/(14% -8%)×35000 . . . . divide by the coefficient of x

Note that this formula is exactly the one we started with, above.

How do you calculate y-intercept

Answers

Answer:

In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept  of the line.

Step-by-step explanation:

i) from the general equation of line we know that any line can be represented in the form y = mx + c , where m is a constant and is called the slope of the line and c is also a constant and is the y-intercept.

ii) In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept  of the line.

iii) If for example we have the line 3y = 6x + 12 then we first get this equation of the line to match the general form of the equation of the line, that is y = mx + c. Therefore dividing both the left and the right sides of the given equation of the line by 3 we get y = 2x + 4 which matches with the general form of the equation for line and we see that the slope of the given line is m = 2 and the y intercept is given by c = 4.

I need help with this​

Answers

Answer:

with what

Step-by-step explanation:

What is the value of x and y of the parallelogram?

Answers

Answer:

X=15

Y=45

Step-by-step explanation:

Select a real-world problem for the equation 18w = 108. Then solve the problem. A If total rainfall for last month was 108 inches and it rains 18 inches this month, how many inches of rainfall were there total? B If after 108 days someone has made 18 new friends, how many friends did she make per day? C A lab technician earns 18 dollars per hour, if he worked for 108 hours, how much did he earn? D If one full glass holds 18 ounces of water, how many full glasses will hold 108 ounces?

Answers

The problem is multiplying w by 18 to get a total of 108.

The answer would be :

D If one full glass holds 18 ounces of water, how many full glasses will hold 108 ounces?

To solve for the number of cups divide both sides of the equation by 18:

18w = 108

W= 108 / 18

W = 6

It would take 6 18 ounce glasses to equal 108 total ounces.

Car A and car B are traveling opposite directions st the same speed. Car A drove for 17 minutes and car B drove for 32 minutes. Car B drove 12 miles more than car A. How fast were the cars driving?

Answers

Answer:

48 mph

Step-by-step explanation:

Car B drove for 32 minutes. Car A drove for 17 minutes.

32 - 17 = 15

Car B drove for 15 minutes more than car A.

Car B drove 12 miles more than car A.

That means that in 15 minutes, car B drove 12 miles.

speed = distance/time

15 minutes * (1 hour)/(60 minutes) = 0.25 hour

speed = (12 miles)/(15 minutes)

speed = (12 miles)/(0.25 hour)

speed = 48 miles/hour

Answer: 48 mph

A dvd is marked down 15% the regular price is $12 what is the sale price?

Answers

15% off means the dvd is selling for 85% of the original price ( 100% - 15%=85%)

Multiply the original price by 85%

12 x 0.85 = 10.20

The price is $10.20

The answer to this question is 1.79 but if you round up it should be 1.80

Susan is drawing a triangle. The first segment she draws is 6 centimeters in length, and the second segment is 8 centimeters long. What must the third segment be to be able to create a triangle?
Group of answer choices

15

14

16

12

Answers

Answer:

14

Step-by-step explanation:

Because to make a triangle, if two sides of the triangle is added and is equal to the third side then the triangle can be made.

In this case one side is 6 cm and the other is 8cm, if added its 14 cm and it will make a triangle

find the measure of ∠6

Answers

Answer:

75 degrees would be it

A model rocket was built using a scale factor of 1:15 if the height of the actual rocket is 9.9m, what is the height of the millimeters

Answers

Answer:

660 mm

Step-by-step explanation:

we know that

The scale factor is [tex]\frac{1}{15}[/tex]

That means

1 unit in the model represent 15 units in the actual

or

1 m in the model represent 15 m in the actual

To find out the height of the model rocket, divide the height of the actual rocket by 15

so

[tex]9.9\ m=\frac{9.9}{15}= 0.66\ m[/tex]

Convert m to mm

Remember that

[tex]1\ m=1,000\ mm[/tex]

To convert meters to millimeters, multiply by 1,000

so

[tex]0.66\ m=0.66(1,000)=660\ mm[/tex]

Final answer:

To find the height of a model rocket built to a 1:15 scale with the actual rocket height at 9.9 meters, multiply 9.9 by the scale factor (1/15) and convert the result to millimeters, yielding 660 millimeters for the model's height.

Explanation:

The student asked how to find the height of a model rocket that was built using a scale factor, given the height of the actual rocket. To solve this problem, we use the scale factor to determine the model's dimensions. For example, if a model rocket was built using a scale factor of 1:15 and the actual rocket is 9.9 meters tall, we would calculate the model's height in millimeters by multiplying the actual height by the scale factor and converting meters to millimeters (1000 millimeters = 1 meter).

Here's the calculation:

Model Height in meters = Actual Height in meters * Scale Factor = 9.9m * (1/15)Model Height in millimeters = Model Height in meters * 1000 = (9.9m * (1/15)) * 1000

By performing the multiplication, we find that the model's height would be 660 millimeters.

Which of these is a ratio table?
Pls help

Answers

Answer:the one at the very bottom

Step-by-step explanation:Because 1-2 is right so then 2-blank would have to be 4 which is the very bottom one.

The correct answer would be option (D) which is a ratio table.

What is a Ratio Table?

A ratio table is a table that shows the recurring relationship between two values. A set of data points can be used to observe the constant relationship. A set of data with a constant relationship between two values is a comparison of miles traveled to hours traveled. A special type of ratio is the comparison of two different quantities. A rate compares quantities measured in different units.

As per option (D), we have

A     B

1      2

2     4

3     6

The ratio of A and B is :

A:B = 1/2 = 1:2

A:B = 2/4 = 1/2 = 1:2

A:B = 3/6 = 1/2 = 1:2

Hence, we can conclude that this is a ratio table.

The correct answer would be option (D)

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find the area of the trapezoid 21m by 7m by 21m

Answers

Answer:

its 294 hope this helps

Step-by-step explanation:

Ada's lunch costs $14.32. She hands the cashier $20.
About how much change will Ada receive?

Answers

Ada will receive $5.68 in change.
14.32 - 20.00 = $5.68

Subtract: 5 - 3 1/3 what is the answer

Answers

Answer:

5/3

Step-by-step explanation:

3 1/3=10/3

5-10/3

15/3-10/3

5/3

If Nora's house has an assessed value of $76,320 and a real estate tax rate of $2.98 per $100,
what will she pay in real estate tax?
A.$3,567.34
B.$2,274.34
C.$2,008.94
D.$1,345.26

Answers

Option B:

$2,274.34

Step-by-step explanation:

Given  Nora's house has an assessed value = $76,320

Real estate tax rate = $2.98 per $100

                                 [tex]=\frac{2.98}{100}[/tex]

                                = $0.0298

Tax for assessed value $76,320 = $76,320 × $0.0298

                                                      = $2274.336

                                                      = $2274.34

Hence, tax for Nora's house is $2274.34.

5. Use multiplicatonto show
that 1/4 is
equivalent to 3/12

Answers

Answer:

1 Simplify 3/12 to 1/4

1/4 =1/4

2 Since both sides equal, there are infinitely many solutions.

Infinitely Many Solutions

What is the answer to 6(4)

Answers

It multiplication 6(4) is just 6•4 which is 24

Derrick has 72 inches of ribbon to make bows. He uses all of his ribbon to make 9 bows of equal length l . How many inches of ribbon does each bow use? Write an equation to model the situation. Then solve the problem.

Answers

Final answer:

To find out how much ribbon is used for each bow, we set up and solve the equation 72 = 9l. Our solution is that each bow uses 8 inches of ribbon.

Explanation:

This is a problem about division in real-life situations or practical arithmetic. Given that Derrick has 72 inches of ribbon and he wants to make 9 bows of equal length from the ribbon. A suitable equation to model this situation is: 72 = 9l .

To solve this equation for l (which represents the length of ribbon used for each bow), you would divide both sides of the equation by 9. This results in l = 72 ÷ 9. Performing the division calculation gives you that l = 8. Hence, each bow uses 8 inches of ribbon.

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A multiple choice exam has 100 questions, each with 5 choices. If a student randomly guesses the answer to a question on the exam, what is the probability that he will get that answer correct?​

Answers

If it’s just the probability of 1 question it would be 1/5 but if they guess on every question it’s 100/500

Final answer:

The probability of a student guessing the correct answer on one multiple choice question with five possible choices is 20%. For specific targets, such as guessing more than 75% correctly, the binomial probability formula would be used.

Explanation:

If a student is taking a multiple choice exam with 100 questions and each question has 5 choices, the probability of guessing correctly on any single question is simply 1 in 5, as there is only one correct answer out of five possibilities. To calculate the probability of an event such as this, where each event is independent and there's an equal chance of each outcome, we use the formula for the probability of a single event, which is P(Event) = Number of successful outcomes / Total number of possible outcomes.

Therefore, the probability of the student guessing the correct answer on one question is P(Correct) = 1/5 or 20%.

If we are dealing with a question about guessing more than a certain percentage correctly, such as more than 75%, we would use the binomial probability formula, which is a bit more complex and depends on the specific question being asked.

Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (6, 8). After leaving the theater Tommy walks to the store at (6, 0) before returning home. If each grid square represents one block, how many blocks does he walk?

Answers

Answer:

He walks 28 blocks.

Step-by-step explanation:

0,0 to 0,8 is 8 blocks

0,8 to 6,8 is 6 blocks

6,8 to 6,0 is 8 blocks

returning home (6,0 to 0,0) is 6 blocks

8+6+8+6=28 blocks

recently 5/8 of the items sold at Debbies Sporting Good were baseball caps. at Sasha Sports 7/10 of the items sold were baseball caps which store sold a greater fraction of baseball caps?

Answers

Answer:

7/10 is the larger fraction

Step-by-step explanation:

use cross multiplication

which fraction has the largest number above it.

8 x 7 = 56

5 x 10 = 50

you could also use a common denominator such as 40

5/8 = x/40

25/40

7/10 = x/40

28/40

28>25 so 7/10 is larger

which equations are true please help?

Answers

Answer:

All the equation are true .

Step-by-step explanation:

Because In each equation you find that after working it out you will remain with x each side

Find the distance between the given points. (2,4) (6,-2)

Answers

Answer:

y=-1/2x+7

Step-by-step explanation:

Which of the following represents Exponential Growth? Choose all that apply.

Group of answer choices
y=(5/4)^x

y=4^-x

y=5^x

y=(4/5)^x

Answers

Answer:

[tex]y=(\frac{5}{4})^x[/tex]

[tex]y=5^x[/tex]

Step-by-step explanation:

we know that

In a exponential function of the form

[tex]y=a(b^x)[/tex]

where

a is the initial value

b is the base

If the value of b >1 ----> then is a exponential growth

If the value of b <1 ----> then is a exponential decay

Verify each case

case a) we have

[tex]y=(\frac{5}{4})^x[/tex]

[tex]b=\frac{5}{4}[/tex]

b> 1

therefore

The function represent exponential growth

case b) we have

[tex]y=(4)^{-x}[/tex]

[tex]b=\frac{1}{4}[/tex]

b< 1

therefore

The function represent exponential decay

case c) we have

[tex]y=5^x[/tex]

[tex]b=5[/tex]

b> 1

therefore

The function represent exponential growth

case d) we have

[tex]y=(\frac{4}{5})^x[/tex]

[tex]b=\frac{4}{5}[/tex]

b< 1

therefore

The function represent exponential decay

Final answer:

The functions y=(5/4)^x and y=5^x represent exponential growth since the value of the function increases as the exponent (x) increases. This pattern follows the characteristic of exponential growth, where larger values lead to faster rates of increase.

Explanation:

Exponential growth occurs in mathematics when a quantity increases by a fixed percentage or fraction over equal intervals of time. This can be represented by a mathematical function where the variable is an exponent. Looking at the provided options, let's determine which ones represent exponential growth:

y=(5/4)^x: This function represents exponential growth because as x increases, the value of the function also increases proportionally.y=4^-x: This function does not represent exponential growth; instead, it represents exponential decay, as the value of the function decreases as x increases.y=5^x: This is a classic example of exponential growth, with the base 5 being raised to the power of x. As x increases, the function's value grows exponentially.y=(4/5)^x: Similar to the second function, this represents exponential decay, not growth, as the function's value diminishes as x increases.

Therefore, the functions that represent exponential growth are y=(5/4)^x and y=5^x.

What is the solution for x in the equation -x + 3/7 = 2x - 25/7

Answers

Answer:

4/3

Step-by-step explanation:

-X + 3/7 = 2X - 25/7

2X + X = 3/7 + 25/7

3X = 28/7

3X = 4

X = 4/3

Answer:

4/3

Step-by-step explanation:

What is the justification for step 2 in the solution process? 12 − x = 7x + 32 Step 1: -x = 7x + 20 Step 2: -8x = 20 A. the addition property of equality B. the division property of equality C. the subtraction property of equality D. the multiplication property of equality

Answers

Answer:

C. the subtraction property of equality

Step-by-step explanation:

Answer:

C. the subtraction property of equality

Step-by-step explanation:

Find the sum:261+345+502

Answers

Answer:

1108

Step-by-step explanation:
1
261
345
502
------
1108

:)

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