The arithmetic mean of ten numbers is 36. if one of the numbers is 18,What is the mean of the other nine?
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Answer:

If a candle shop is offering a 20% off sale, the prices of all candles will be reduced by 20%. This will affect the mean, median, and mode cost per type of candle in the following ways:

Hope this helps!

Answer:

Mean: The mean is calculated by adding up all the prices of the candles and dividing by the total number of candles. When the prices are reduced by 20%, the new mean will also decrease by approximately 20%. This is because each price is being multiplied by 0.8, and then the total is divided by the same number of candles.

Median: The median is the middle value when all the candle prices are listed in order from lowest to highest. When the prices are reduced by 20%, the relative position of each price will remain the same. However, the actual values will decrease by 20%. Therefore, the new median will also decrease by approximately 20%.

Mode: The mode is the most common value in the set of candle prices. When the prices are reduced by 20%, it is possible that the mode will change, depending on the original distribution of prices. For example, if there are originally two or more prices that are tied for the most common value, then the mode may remain the same. However, if there is only one most common value, and this value is reduced by 20%, then a different value may become the new mode.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Step-by-step explanation:

Hope it will help you...

Step-by-step explanation:

to solve this you must first understand the "mean" value of a data set or "distribution".

the mean value is simply the sum of all measured or reported values divided by the number of measurements or reports.

if several data points have the same measured value, then so be it. they are all counting.

and that is what was happening here. the value "2" for example appeared 5 times during the measurements or reports.

"4" occurred 8 times. and so forth.

that is what "frequency" means : how often did that value occur during the observed period of measurements or reports ?

so, how many data points are there ? meaning how many measurements or reports were done in total ?

well, the sum of all frequencies :

(5 + 8 + x + 6 + 3)

to calculate the mean value we could now simply add every value up like 2+2+2+2+2.

or we help ourselves by using multiplication as a shortcut :

(2×5 + 4×8 + 6×x + 8×6 + 10×3)

the mean value is then as explained at the beginning :

(2×5 + 4×8 + 6×x + 8×6 + 10×3) / (5 + 8 + x + 6 + 3) =

= (10 + 32 + 6x + 48 + 30) / (22 + x) =

= (120 + 6x) / (22 + x) = 5.625

120 + 6x = 5.625(22 + x) = 123.75 + 5.625x

-3.75 = -0.375x

3.75 = 0.375x

x = 10

the frequency of 6 was 10 to achieve the mean value of 5.625.

add on : so, the way to solve this as so many similar problems in other areas is to set the principle (including a variable) equal to an actual outcome, and then you solve for that variable.

Answer:

40a : 10b : 3c

Step-by-step explanation:

We can write this information more mathematically by saying:

\(a = \frac{1}{4} b\)

\(b= \frac{3}{10} c\)

This can be written as ratios as well by making them all integers so:

4a : b

10b : 3c

By making the b's in both equations the same, we can link all the ratios together so:

40a : 10b

10b : 3c

So,

40a : 10b : 3c

Answer:

The answer is D. (8•4 ) + (2•4) + 2

Answer:

The answer is only D.

Step-by-step explanation:

So let's look at this together:

Before we start anything, we MUST solve the equation that we are trying to find first. That way we can compare answers.

This is the problem we must solve using PEMDAS: (8 + 2) x 4 + 2 = 42  (USING PEMDAS)

Choice A:

8 x 4 + 2 + 2 =

We would need to use PEMDAS

P = Parenthesis

E = Exponents

M = Multiplication

D = Divison

A = Addition

S = Subtract

So for Choice A, we would go in order so starting with Parenthesis there is none, so we move on to Exponents. Since there is none we go to Multiplication. Now we Multiply 8 x 4 and get 32 and add 2 + 2. The sum doesn't add up to 42, so we know that the answer choice is wrong. If you keep doing this for all the answer choices, all of them would have a different number that wouldn't equal 42.

EXCEPT D. (8 x 4) + (2 x 4) + 2 = 42

                                              HOPE THIS HELPS!

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

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Answer:30

Step-by-step explanation:

Answer:

a. 6276

b. 5590

c. 23128

d. 17325

e. 15090

f. 40419

g. 10496

h. 15000

i. 15648

99% sure

Answer:

3/5 and 3/4 im pretty sure

Step-by-step explanation:

you have to find the multiple that would make it equal the answer

(x-9)/(2)=x+1
Multiply both sides by 2
x-9 = 2(x+1)
Distribute the 2
x-9=2x+2
Add 9 to both sides
x=2x+11
Subtract 2x from both sides
-x=11
Divide both sides by -1
x=-11

(-11 - 9)/2 = -10 = -11 + 1

It is correct when substituted back in.

Answer:

Step-by-step explanation:

     f(x) = x² - 2x + 5

1)   f(2) = (2)² - 2(2) + 5 = 5

2) f(-3) = (-3)² - 2(-3) + 5 = 20

3)  f(0) = (0)² - 2(0) + 5 = 5

4) f(5) - f(-2) = (5)² - 2(5) + 5 - [(-2)² - 2(-2) + 5 = 20 - 13 = 7

5) f(1) + f(6) = (1)² - 2(1) + 5 + [(6)² - 2(6) + 5 = 4 + 29 = 33

Answer:

uiiu

Step-by-step explanation:

Answer:

==========================

Identities we will use:

===========================

Given expression:

Factorize it by completing the square and setting the difference of squares:

Answer:

I think 4^0 is the answer

Answer:

A. 4+5/2= 6,5 mean

Step-by-step explanation:

I don't get the second question. Sorry! But at least I tried to help part A.

Answer:

Part A Answer: 5 Part B Answer: 1.25

Step-by-step explanation:

Part A: I added all the numbers up to equal 40. 40 divided by the number of numbers given (8) equals 5.

Part B: I know the answer is 1.25 for sure but trying to figure out how to explain it!

Answer:

Hi there!

The simplified version is:

18x-20

Step-by-step explanation:

2(4x-6) -8 +10x

First, multiply the 2 by the parentheses.

8x -12 -8 +10x

Next, combine like terms

18x -20

This is the simplified version!

Hope this helps

The value of the missing length to the nearest tenth are;

a. x = 7.5

b. x = 7.8

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Therefore ;

c² = a²+b²

a. x² = 9²-5²

x² = 81-25

x² = 56

x = √56

x = 7.5 ( nearest tenth)

b. using Pythagoras theorem also!

x² = 6²+5²

x² = 36+25

x² = 61

x = √61

x = 7.8( nearest tenth).

Therefore the value of the missing values are 7.5 and 7.8

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30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.

Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,

⇒ x + y = 60 ⇒ x = 60 - y ----(1),

Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,

⇒ 28% of x + 16% of y = 22% of 60

⇒ 0.28x + 0.16y = 0.22 × 60

⇒ 0.28x + 0.16y = 13.2

⇒ 28x + 16y = 1320

⇒ 14x + 8y = 660

From equation (1),

14(60-y) + 8y = 660

840 - 14y + 8y = 660

6y = 180

y = 30

Again from equation (1),

x = 60 - y

= 60 - 30

= 30

Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%

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Answer:

72

Step-by-step explanation:

You line them up from biggest to smallest and then cross off a number from both sides equally and then get your median;

46,58,72,85,93​

58,72,85  (cross off 46 and 93)

72 (Cross off 58 and 85)

And then you get your answer 72

I hope this helps!!!!!

Answer:

Step-by-step explanation:

Let Matt's age be x.

Then Pat is x + 2, Dave is x + 4 and Dan is x + 6.

Dan's age is 36 years less than twice Pat's age:

Solve it for x:

So Matt is 38, Pat is 40, Dave is 42 and Dan is 44.

Answer:

\(\displaystyle f(x) = -\frac{2}{3}\, x - \frac{4}{3}\).

Step-by-step explanation:

Rewrite the slope of the given line by rewriting to equation of that line into the slope-intercept form \(y = m_{1} \, x + b\):

\(\displaystyle y = \frac{3}{2}\, x + (-2)\).

Thus, the slope of the given line would be \(m_{1} = (3/2)\).

Let \(m_{2}\) denote the slope of the line in question. Two lines in a plane are perpendicular to one another if and only if the product of their slopes is \((-1)\). Thus, \(m_{1}\, m_{2} = (-1)\) since these two lines are perpendicular to one another.

Since \(m_{1} = (3/2)\), the slope of the line in question would be:

\(\begin{aligned}m_{2} &= \frac{(-1)}{m_{1}} \\ &= \frac{(-1)}{(3/2)} \\ &= -\frac{2}{3}\end{aligned}\).

Let \(b\) denote the \(y\)-intercept of the line in question (the value of this \(b\!\) needs to be found.) The slope-intercept equation of the line in question would be:
\(\displaystyle y = \left(-\frac{2}{3}\right) \, x + b\).

In other words, for a point on this line, if the input (\(x\!\)-coordinate) is \(x\), the output (\(y\)-coordinate) would be \(((-2/3)\, x + b)\). This relation is equivalent to the function:

\(\displaystyle f(x) = -\frac{2}{3} \, x + b\).

The question stated that \(f(1) = -2\). In other words, \(((-2/3)\, x + b)\) should evaluate to \((-2)\) when the input variable \(x \) is replaced with \(1\). Thus:

\(\displaystyle -\frac{2}{3} + b = -2\).

Solve for \(b\):

\(\displaystyle b = -\frac{4}{3}\).

Therefore, the function that represents this line would be:

\(\displaystyle f(x) = -\frac{2}{3}\, x - \frac{4}{3}\).

Here's another example on how to find the equation of a line perpendicular to a given line: https://brainly.com/question/26231200.

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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Answer:

y + 1 + y + 2 + y + 3 =3y+6

Step-by-step explanation:

study hard:)

The length of AC is equal to 5 units.

Given:

From the figure :

ΔABC is a right angled triangle with sides:

AB = 3 and BC = 4

Right angled triangle:

A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees.

The other two angles sum up to 90 degrees. The sides that include the right angle are perpendicular and the base of the triangle.

The third side is called the hypotenuse, which is the longest side of all three sides.

we know that,

According to pythagorean theorem:

\(AB^2+BC^2 = AC^2\)

3^2 + 4^2 = AC^2

9 + 16 = AC^2

AC^2 = 25

AC = \(\sqrt{25}\)

AC = 5 units.

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Full question:

is in the image uploaded

Answer:

x = 100°

Explanation:

The polygon has 6 sides, meaning it's a hexagon. In the picture you can see the following steps under #1:

(6-2) x 180° = 4 x 180 = 720°

720 is the total amount that all the angles should add up to, including the missing number x.

To solve for x add all of the angles up:

120 + 156 + 145 + (x + 9) + x + 90 = 720

520 + 2x = 720 (subtract 520 from both sides)

                 -520

          2x = 200 (divide 200 by 2 to have x on its own)

             x = 100°

To make sure it's correct, plug in the value (100°) for x in the original equation to check the answer:

120 + 156 + 145 + 100 + 9 + 100 + 90 = 720

720 = 720 Correct

The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).

To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.

Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:

x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3

Similarly, the y-coordinate of the point is given by:

y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5

Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).

To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).

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\(\frac{41-27}{41} \times 100 \approx \boxed{34\%}\)

Answer:

Just found that it is 3. Btw, try m a t h w a y. com

Step-by-step explanation:

Hope that helps!

Answer:

She will spend 2.66 dollars

Step-by-step explanation:

Answer:

she would spend $7.52

Step-by-step explanation: