Look at this set of 7 numbers:
6 9 3
6 8
6 3
By how much would the range increase if the number 5 replaced the number 8 in the set?

Answers

Answer 1

Answer:

no increase

Step-by-step explanation:

the range is the difference between the largest and smallest values in the data set.

largest value = 9 and smallest value = 3 , then

range = 9 - 3 = 6

replacing 8 by 5 has no effect on the above 2 values , so no change

Answer 2

Answer:

The range would stay the same.

Step-by-step explanation:

The old set is 6 9 3 6 8 6 3

- range is 9-3 = 6.

The new set is  6 9 3 6 5 6 3

which has a range of 9 - 3 = 6.


Related Questions

Find the slope of the line containing the following points by using the slope-formula, below: (-3, 6) (5, -9)

Answers

Answer:

Step-by-step explanation:

(x₁, y₁) = (-3 , 6)   &

(x₂ , y₂) = ( 5 , -9)

[tex]Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]=\dfrac{-9-6}{5-[-3]}\\\\\\=\dfrac{-15}{5+3}\\\\\\=\dfrac{-15}{8}[/tex]

PLEASE ANSWER I DONT KNOW THE ANSWER

Answers

Answer:

D. 201.1

Step-by-step explanation:

We see that the radius o the given circle is 16, so we do 16^2*pi

then we multiply that be 90/360

which rounds to 201.1

How long will it take Eniola to save $5,000 if she started with $500 and found a rate of 6. 2%? Round to the nearest whole number

Answers

Answer:

38.28 years

Step-by-step explanation:

The computation of the time period is shown below:

Given that

RATE = 6.2%

PV = $500

PMT = $0

FV = $5,000

The formula is shown below:

= NPER(RATE;PMT;-PV;FV;TYPE)

After applying the above formula, the time period is 38.28 years

Hence, in order to save $5,000 it would take 38.28 years

6 , 9 , 12 , . . . 6,9,12,... Find the 34th term. Find the 34th term.

Answers

Answer:

105

Step-by-step explanation:

nth term=a+(n-1)d (a=first term,d=difference)

a=6,d=9-6=3

34th term=6+(34-1)3

=6+(33×3)

=6+99=105

how do you do one step equations?

Answers

A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
It’s simple to do one step equations

Let’s take x = -5 + 7 for example.
First, we need to remove -5. We can do this by adding 5 to -5 to make it zero. Since we added 5, we have to add 5 to seven. What ever you do on one side, you have to do to the other. 5 + 7 = 12. Now all that’s left on the equation is x = 12 and that would be your answer. Im not good at explaining things but I hope this helps you!

Which equation best models the data shown on the scatter-plot below?

Answers

The scatterplot is an illustration of a linear regression.

The equation that best models the scatter plot is y = 4x+ 35

How to determine the equation of the scatterplot?

The equation of a linear regression is represented as:

y = mx + b

Where:

m represents the slope

b represents the y-intercept

From the graph, we have the following points on the line of best fit (see attachment)

(x,y) = (10,75) and (20,105)

The equation is then calculated as:

[tex]y = (\frac{y_2 - y_1}{x_2 - x_1})(x -x_1) + y_1[/tex]

This gives

[tex]y = (\frac{105 - 75}{20- 10})(x -10) + 75[/tex]

Evaluate

[tex]y = 4(x -10) + 75[/tex]

Open the bracket

[tex]y = 4x -40 + 75[/tex]

Simplify

[tex]y = 4x+ 35[/tex]

Hence, the equation that best models the scatter plot is y = 4x+ 35

Read more about scatter plots at:

https://brainly.com/question/6592115

Help me with this please I will give you extra points

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Total outcomes in which Billy can get 5 or more : 2 outcomes

Total outcomes = 6

So, the probability of getting 5 or higher is ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{favorable \: outcomes}{total \: outcomes} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2}{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{3} [/tex]

Therefore, the correct choice is C

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

roblem #7
A system of linear equations is shown.
2y=6x+ 4
y = 3x-4
Explain how many solutions this system of equations has.

Answers

Answer:

no solution.

Step-by-step explanation:

1) in order to explain, the given system should be resolved:
[tex]\left \{ {{2y=6x+4} \atop {y=3x-4}} \right. \ < = > \ \left \{ {{y=3x+2} \atop {y=3x-4}} \right.[/tex]

2) the both equations have the same slope (it is 3), it means the given lines are parallel, then no solution.


[tex] \binom{4a + 3}{5} - \binom{2a + 3}{3} [/tex]
simplify the fraction

Answers

I assume your question was to simplify the following fraction ;

[tex]{:\implies \quad \sf \dfrac{4a+3}{5}-\dfrac{2a+3}{3}}[/tex]

Taking LCM will yield ;

[tex]{:\implies \quad \sf \dfrac{3(4a+3)-5(2a+3)}{15}}[/tex]

[tex]{:\implies \quad \sf \dfrac{12a+9-10a-15}{15}}[/tex]

[tex]{:\implies \quad \boxed{\bf \dfrac{2a-6}{15}}}[/tex]

This is the required answer

can someone please help me

Answers

40 dollars is the setup so it happens only once. It is a fixed cost.
10 dollars is for each shirt so it is a variable cost. Happens for every shirt.

Y is total cost:

Y= 40 + 10x

For one shirt:
Y=40+10(1)
Y=50

For five shirts:
Y=40+10(5)
Y= 90

For ten shirts:
Y=40+10(10)
Y=140

For fifty shirts:
Y=40+10(50)
Y= 540



What is the area of a sector with a central angle of 8π11 radians and a radius of 7. 2 ft? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.

Answers

The area of the sector will be 59.19 ft². The area of a circle's sector is the portion of the area encompassed inside the sector's perimeter.

What is an area of the sector?

The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.

The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.

The area of a circle is found as;

A = πr²

A = π(7.2 ft)²

A = 162.78 ft²

The area of the sector is the ratio of the provided slope to the angle of the complete circle which is similar to 2π;

[tex]\rm A_S= (162.78 )\times \frac{8\pi }{11 \times 2\pi} = 59.19 \ ft^2[/tex]

Hence the area of the sector will be 59.19 ft².

To learn more about the area of the sector refer to the link;

https://brainly.com/question/1582027


I need the answer please

Answers

Answer: sqrt(182)

Step-by-step explanation:

6x4y how do I solve this?.

Answers

Answer:

24y

Step-by-step explanation:

Multiple 6x4 to get 24

and then put the y in to

get your answer

solution÷

6×4y

6×4y=0

multiply 6×4y

24y=0

now send 24 to the right side and divide

y=0÷24

therefore,y=0

Convert 2.25 to a mixed number and an improper fraction. Write answers in the simplest form.

Answers

Answer: Answer in picture

Step-by-step explanation:

Math

Please help as soon as possible

Answers

Answer:

[tex]9 \times 3 = 27 \\ 15 \times 6 = 90 \\ = 30.255 \\ 49 \times 3.14 = 153.86 \\ 153.86 + 30.255 + 27 = 211.115[/tex]

If the number of bacteria in a
colony doubles every 25 hours
and there is currently a population
of 10,000 bacteria, what will the
population be 75 hours Trom now?

Answers

Answer:

The population of 75 hours from now would be 40,000.

Step-by-step explanation:

The reason for this is because your initial number is 10,000 and when 25 hours pass by, your population would be 20,000. Another 25 hours pass by, and then your population would be 40,000. If you multiply 25 by 3, you will notice 75 hours have just passed, so your answer would be 40,000.

The diagonals of quadrilateral EFGH intersect at D(1,3). EFGH has vertices at E(2,6) and F(-4,5). What must be the coordinates of G and H to ensure that EFGH is
a parallelogram?

Answers

Answer:

G(0, 0), H(6, 1)

Step-by-step explanation:

The diagonals of a parallelogram bisect each other.

Point D is the midpoint of both diagonals.

Endpoint of EG is point G with coordinates (x, y):

(2 + x)/2 = 1 ⇒ 2 + x = 2 ⇒ x = 0(6 + y)/2 = 3 ⇒ 6 + y = 6 ⇒ y = 0G = (0, 0)

Endpont of FH is point H with coordinates (x, y):

(-4 + x)/2 = 1 ⇒ - 4 + x = 2 ⇒ x = 4 + 2 ⇒ x = 6(5 + y)/2 = 3 ⇒ 5 + y = 6 ⇒ y = 6 - 5 ⇒ y = 1H = (6, 1)

Manny does not eat 4/9 of his orange at lunch. Josh does not 5/9 of his orange at lunch. How much orange do Manny and Josh have left over?

Answers

The amount of orange that Manny and Josh have leftover after eating lunch is 1.

What are fractions?

A fraction is a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below

How much orange is leftover?

Oranges Manny has left = 1 - 4/9 = 5/9

Oranges Josh has left = 1 - 5/9 = 4/9

Oranges they both have left = 5/9 + 4/9 = 1

To learn more about subtraction of fractions, please check: https://brainly.com/question/915789

Writing Equations of Parallel Lines
y
5
What is the equation of the line parallel to the given line
with an x-intercept of 4?
y =
4
V
3
2
-5 4 3 2 1
2
5
-1
-2
-3
-5
Intro
Done

Answers

Answer:

  y = 4x -16

Step-by-step explanation:

The equation of the parallel line can be written from the given x-intercept when we know its slope. The slope will be the same as that of the graphed line. It can be found using the slope formula with the marked points (-3, -3) and (-1, 5).

  m = (y2 -y1)/(x2 -x1)

  m = (5 -(-3))/(-1 -(-3)) = 8/2 = 4 . . . . . slope of the lines

The point-slope equation for the line with slope 4 through point (4, 0) will be ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

  y -0 = 4(x -4) . . . . line with slope 4 through the given x-intercept

  y = 4x -16 . . . . . . expanded to slope-intercept form

An adult takes 400mg of vitamin c.
Each hour, the amount of vitamin c in
the person's system decreases by about
29%. How much vitamin c is left after 6
hours?

Answers

Answer:

51.24 mg

Step-by-step explanation:

400 x (0.71^6) = 51.24

Answer:

51.24 mg

Step-by-step explanation:

400 x (0.71^6) = 51.24

A cube pyramid has 7 at its base and 9.4 for its height what is the answer?

Answers

Answer:

Assuming this is volume, the answer is 153.33

Step-by-step explanation:

In a cube pyramid, the sides of the base are all the same, so if one side is 7, all of them are seven. To find the area of the base, the formula Area=Length x Width is used. Because the base is a square, the formula is simplified into Area=Side Length x Side Length. This gives us 49. The next step is to multiply this base times the height, 9.4, which is 460.6. However, this is the volume of a rectangular prism with those dimentions. A pyramid is a third of a rectangular prism. So, the answer is multiplied by 1/3, which is 153.33.

Hope this helps

Which ordered pair would form a proportional relationship with the point graphed below?

(–40, 20)
(–10, –20)
(15, –30)
(5, –15)

Answers

Answer:

  (c)  (15, -30)

Step-by-step explanation:

A proportional relationship has the equation ...

  y = kx

The value of the constant of proportionality is the ratio of y to x:

  k = y/x = 40/-20 = -2

__

The point that is on the line y = -2x is the point (15, -30).

Sofia buys 3.8 pounds of potatoes for $0.85 per pound. Flynn buys 4.2 pounds of potatoes for $0.75 per pound.

How much more does Sofia spend than Flynn?

Answers

Answer:

Step-by-step explanation:

A. $0.08

Step-by-step explanation:

I would find out the total price of potatoes for each person:

Sofia: $0.85 x 3.8lb = $3.23

Flynn: $0.75 x 4.2lb = $3.15

To get the final answer, I would subtract to find the difference between the two prices.

$3.23 - $3.15 = $0.08

What is the value of x?

Answers

Step-by-step explanation:

By the secant tangent theorem,

21(21+25)=x^2

x^2 = 966

x = sqrt(996)

Help pls!!!!!!!!!

ddddddddddddddd

Answers

#3- 1436.76
#4- 4188.79
#5- 3053.63
#6- 523.6
#7- 33.51
#8- 5575.28
I’m pretty sure

Simplify 3a+2(4a-b)
please simplify this equation

Answers

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic= }{ \bf { \textcolor{orange}{mathematics= }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]

3a+2(4a-b)=

3a+8a-2b=

[tex] \bf \textcolor{green}{ \underbrace{11a - 2b}}[/tex]

xLasersx✨

Solve for x.
0.2x – 3.2
= 1.8
1
5
X = ?

Answers

Answer:

X = 25

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

The volumes of two similar solids have an 125 : 216 ratio. What is the ratio of their side lengths

Answers

Answer:

5:6

Step-by-step explanation:

To find the ratio of side lengths you need to cube root of the ratio of the volumes. The reason you use the cube root is because you are multiplying 3 things together when you find volume.

[tex]\sqrt[3]{\frac{125}{216} } =\frac{5}{6}[/tex]

5 : 6

Find the side labeled x.
help please

Answers

Answer:

x=7.51

Step-by-step explanation:

Tangent would be the easiest option here in this problem so to do this set up the proportion

[tex] \frac{ \tan(30) }{1} = \frac{x}{13}[/tex]

Cross multiply to get x=tan30(13)

Multiply tan30 by 13 to get the answer to x which is

x=7.51 rounded to the nearest hundredth

find the surface area of the triangular prism

Answers

Answer:

97.79ft

Step-by-step explanation:

Adding the area of every side together gets the surface area of the whole shape.

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