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Graph the following system of equations.
2x + 6y = 12
6x + 18y = 18
What is the solution to the system?

Given that sample standard deviation is zero. This indicates that the variance of sample is also zero as square of sample standard deviation is sample Variance. Variance is average of the squared deviations from mean. As shown in below formula

Since Variance = 0 , we substitute in formula and we get the sum of squares of deviations of all data points from mean should be zero. This is only possible if and only if all the data points in the data distribution are same as mean of the data distribution. In the case the variance and standard deviation will be zero.

Variance = Summation n to i = 1 [tex]\frac{(X_{1-X} )^2}{n-1}[/tex]

        0 = Summation n to i = 1[tex]\frac{(X_{1-X} )^2}{n-1}[/tex]

                Summation n to i [tex]{(X_{1-X} )^2[/tex] = 0

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The height of the cylinder is 20 meters.

The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it. The formula r2h, where r is the radius of the circular base and h is the height of the cylinder, determines the volume of a cylinder. Any substance that can fill the cylinder consistently with liquid or another material may be used as the material. Check the shape's volume here.

Formula= V = π r² h

According to the given value,

The formula for the volume of a cylinder is V=πr²h.

The cylinder to the right has an exact value of 500π cubic meters.

Its radius is given as 5 meters in the figure.

volume of the cylinder.

V = π r² h

We have,

V = 500π cubic meters

500π cubic meters = πr²h

Find the height of the cylinder.

We have,

500π cubic meters = πr²h

Divide both sides by π

500cubic meters = r²h

We have,

r = 5

500 cubic meters = 5² square meters x h

500cubic meters =  25 square meters x h

Divide both sides by 25

20 meter = h

h = 20 meters

Thus the height of the cylinder is 20 meters.

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Answer:

27 students

Step-by-step explanation:

Split 18 into 2 to find 1/3. 18/2= 9

9= 1/3

18= 2/3

27= 3/3 or 1

Answer:

There are 27 students.

Step-by-step explanation:

Given that,

→ 2/3

→ 18 ÷ 2

→ 9 = 1/3

Now the number of students are,

→ x = (2/3) + (1/3)

→ x = 18 + 9

→ [ x = 27 ]

Hence, there are 27 students.

As per given condition first they lost 5yd , second lost 6yd , third lost 8 yd ,so change in position shows lost 19 yd.

As given,

Let x be the total number of yards in the beginning

First down they lost 5 yards, second 6 yd and third 8 yd.

Required equation,

x-5-6-8

= x-19

Negative sign represent the lost of 19 yads.

Therefore, as per given condition first they lost 5yd , second lost 6yd , third lost 8 yd ,so change in position shows lost 19 yd.

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Answer: 54

Step-by-step explanation:

54

Answer: The 4 one is correct,  The 2 one is correct

Step-by-step explanation:

-lukelaws hope i helped if i did please make me brainliest and if im wrong i am so sorry:(

Answer:

(5² - 8) x 2 doesn't belong

Step-by-step explanation:

this is because this answer is the only one with parintisies around the 5²

In probability  31, more votes does Uma receive than Paloma .

In statistics, what does a probability mean?

let uma u and paloma p  votes

Uma = 4/7 = u/217

           4 × 217 / 7 =  u

             u = 124

paloma  = 3/7 = p/217

               3 × 217 /7 = p

               p = 93

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[tex] \: \Large \mathbb{ANSWER:}[/tex]

[tex] \: \: \boxed{ \rm{{x}^{2} - 4x - 2 - \frac{8}{x - 1} }} \\ \\ [/tex]

[tex] \: \: \text{Kindly Refer to the Attachement for the solution.}[/tex]

Answer:

The coordinate of point p such that it is dividing line ab into 1:3 is (1,4).

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

Coordinate a point with intercept m: n and bounded by coordinate (x₁, y₁) and (x₂, y₂).

x = [m(x₂) + n(x₁)]/(m + n)

And,

y = [m(y₂) + n(y₁)]/(m + n)

So,

x = [1(7) + 3(-1)]/(1+3) ⇒ x = 1

y = [1(10) + 3(2)]/(1+3) ⇒ y = 4

Hence "The coordinate of point p such that it is dividing line ab into 1:3 is (1,4)".

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Answer:

yookiiii8bubub7bssh8ss

Answer:

1.3

2.5

3.7

4.95.0

5.38

6.67

Step-by-step explanation:

Answer:

Step-by-step explanation:

34

45

11

9

78

56

Answer:

nmms grbtbtbtbynybybtby

Answer:(5,-1.5)

Step-by-step explanation: So you add the x of both the points together so 3+7=10 and then divide by 2 cause there are 2 numbers. 10/2=5

Same thing with y -4+1=-3 then -3/2=-1.5

So the answer is (5,-1.5)

Answer:

22.6796 kg

Step-by-step explanation:

for an approximate result, divide the mass value by 2.205

but the conversion is 50 pounds = 22.696 kilograms

Answer:

22.68 kilograms

Step-by-step explanation:

I found the answer on the internet

Sam pays 680$ per year for his current car and will pay 544$ per year if he buys the new car as per dealer's claim.

According to the question statement, A car dealer claims that buying a new car Sam will have to pay 20% less for gas than for the car he currently owns. The car Sam currently drives costs 15% less to gas than Don's car. Don pays 800$ per year for gas car. It is assumed that all cars will be travelling the same distance.

We are supposed to find out how much will Sam pay for his current car.

To solve this question, we need to know about the concept of percentage of any number.

Don currently pays 800$ per year on gas.

Sam pays 15% less than what Don pays, Therefore the money Sam is paying currently will be 800$ minus 15% of 800$ i.e.,

= [tex]800 - \frac{15}{100} *800[/tex]

= [tex]800-120[/tex]

= [tex]680[/tex]$

680$ per year is the money Sam is spending currently.

If he buys the new car, according to the claim of dealer, he will pay 20% less than what he is paying currently i.e., 680$ - 20% of 680$

= [tex]680-\frac{20}{100} *680\\[/tex]

= [tex]680 - 136[/tex]

= [tex]544[/tex]$

Therefore, Sam pays 680$ per year on gas on his current car but if he buys the new car he will pay 544$ per year on gas.

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Answer:

5×8=40

x=7×8

=56

Step-by-step explanation:

5×8=40

x=7×8

=56

Answer:

distributive property

subtraction

division property of equality

-20/7 is the answer for the following equation.

There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

x+2y=4 ---------(1)

y-z=0     -------(2)

x+3y-2z=5    -----(3)

from eq(1)

x = 4-2y      -----(4)

from eq (2)

z=y      ----(5)

putting these values in eq (3)

4-2y+3y-2(y)=5

-y +4=5

-y=5-4

y = -1

putting in eq 4

x =4 -2y

x = 4-2 (-1) = 6

putting values of y in eq(3)

z = y = -1

x =6

y = -1

z  = -1

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Answer:

The American bison is 10 miles per hour faster.  It can run at 40 miles per hour.

Step-by-step explanation:

See the picture for the conversion.  I used unit multiplies to change feet to miles and seconds to minutes.

Step-by-step explanation:

When it says x = something, that basically means to replace the x with whatever it says x equals.

x = 0. Equation /. 3 x 0 = 0 + 1 = 1. Y = 1

x = -1. Equation/. 3 x -1 = -3 + 1 = -2. Y = -2

x = 2. Equation/. 3 x 2 = 6 + 1 = 7. Y = 7

Hope this helps!! (:

An algebraic expression to represent the number of kilometres John ran in June month last year is 30a.

Given that, John runs the same number of kilometres each day.

We need to find an algebraic expression to represent the number of kilometres John ran in June month last year

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Let us assume that john is running 'a' kilometres per day.

We know that June month composed of total 30 days

So the algebraic expression for the number of kilometres John ran in June last year = Number of kilometres running per day × Number of days in the month of June

=a × 30=30a

Therefore, an algebraic expression to represent the number of kilometres John ran in June month last year is 30a.

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Answer:

Step-by-step explanation:

#1 Number of ways picking 2 from 6 = 6C2 = 15

#2 Arranging them in a circle (consider 1 pair AB)

can be done

1,5  (ABBBBB)   or (5,1)

2,4 ( AABBBB) or (4,2)

3,3

1,1 (ABABAB)

all up = 7 ways

#3 = product of #1 and #2 = 15x7 = 105

There are 60 different ways the students can place the beads on the necklace using exactly two colors.

To find the number of different ways the students can place the beads on the necklace using exactly two colors, we need to consider the different arrangements that can be made.

We can first choose the two colors to be used, which can be done in C(6, 2) = 15 ways (where C(n, r) represents the combination of n items taken r at a time).

Once the colors are chosen, we can arrange the beads on the necklace in two ways: either clockwise or counterclockwise.

We can also flip the necklace to get a different arrangement.

Therefore, for each combination of colors, there are 2 x 2 = 4 different arrangements possible.

Thus, the total number of different ways the students can place the beads on the necklace is 15 x 4 = 60.

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Answer:

Step-by-step explanation:

Look at the File I attached. The Question says that a car travels 76 km north then 25 km east. Now think of this as the Right angled triangle I attached in the file.

a) Bearing from the staring point to the means the degrees of the part i marked with a question mark.

Now SOH CAH TOA

76 km is the ADJACENT

25 km is the OPPOSITE

and x is the HYPOTENUSE

We have the values of the ADJACENT and the OPPOSITE.

Now see which rule has both, It is TOA(tan rule) which is:

tan(y) = OPPOSITE/ADJACENT     (y is the degrees we will get)

tan(y) = 25/76  ( opposite of the degree we need is 25 and adjacent is 76)

tan inverse(25/76) = y  (inverse will be given as to the power -1 on the calculator)

FINAL ANSWER OF (a) = 18.21°

b) This part is asking for the length of the hypotenuse, which i denoted as x in the attached file.

For this part, you will use the Pythagoras Theorem

Which is :

   a² + b² = c²

Where c is the hypotenuse and a and b are the opposite and adjacent.

So

    76² + 25² = x²

     6401 = x²

  √6401 = x

     x = 80.01

Step-by-step explanation:

f(x) = 2x² - 5x

= f(x-4) + f(x)

= [2.(x-4)² - 5.(x-4)] + [2x² - 5x]

= [2.(x² - 8x + 16) - 5x + 20] + [2x² - 5x]

= [2x² - 16x + 32 - 5x + 20] + [2x² - 5x]

= [2x² - 21x + 52] + [2x² - 5x]

= 4x² - 26x + 52

Answer:

You can buy 31788.8 with $320.

Step-by-step explanation:

To calculate this, we know that yen is 0.01007 dollars per foreign. We also know that 1 dollar = 99.34 So, therefore you will multiply 320 * 99.34 and you will get 31788.8 Yen.

I hope this helps and have a good day! :D

Answer:

3.3.1

A cylinder has a circular base.

3.3.2

As cylinders have circular bases, the formula for the area of the base of a cylinder should be the same as the formula for the area of a circle:

[tex]\boxed{\mathrm{Area = \pi r^2}}[/tex].

3.3.3

To find the volume of a cylinder, we can imagine stacking multiple circles on top of each other so that the height of the structure increases, and the shape becomes a cylinder.

This means that the volume of a cylinder is simply the area of the base circle multiplied by the height (h) of the cylinder.

∴ [tex]\boxed{\mathrm{Volume = \pi r^2h}}[/tex].

3.3.4

We can use the above formula to calculate the volume of the given cylinder, where:

• r = [tex]\mathrm{\frac{diameter}{2}}[/tex] = [tex]\frac{8}{2}[/tex] = 4 m

• h = 3 m

∴ [tex]\mathrm{Volume = \pi \times (4 \: m)^2 \times 3 \: m}[/tex]

               [tex]= \mathrm{\pi \times 16 \:m^2 \times 3 \: m}[/tex]

               [tex]= \mathrm{48 \pi \: m^3 }[/tex]

               [tex]= \mathrm{\bf150.8 \space\ m^3}[/tex]

The profit shows in retained earning can be used for reinvestment into the company

There are many measures and uses of earnings. Some analysts like to calculate earnings before taxes (EBT), also known as pre-tax income. Some analysts prefer to see earnings before interest and taxes (EBIT). Still, other analysts, mainly in industries with a high level of fixed assets, prefer to see earnings before interest, taxes, depreciation, and amortization, also known as EBITDA.

Earnings that deviate from the expectations of the analysts that follow that stock can have a great impact on the stock's price, at least in the short term. For instance, if analysts on average estimate that earnings will be $1 per share and they come in at $0.80 per share, the price of the stock is likely to fall on that "earnings miss."

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Answer:

their lowest common multiple (LCM) is 60

Step-by-step explanation:

numbers, writing your answers on one line in the form,

The two numbers are ... and .