2y = 3x-1
4x/y + 9y/x = 15
Find x and y

The margin of error of the random selection is 0.29

The given parameters are:

[tex]n = 320[/tex] --- the sample size

[tex]\sigma = 2.9[/tex] --- the standard deviation

[tex]\bar x = 24[/tex] --- the mean

[tex]\alpha = 90\%[/tex] --- the confidence level.

The margin of error (E) is calculated as follows:

[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]

So, we have:

[tex]E = z \times \sqrt{\frac{3.2^2}{320}}[/tex]

[tex]E = z \times \sqrt{\frac{10.24}{320}}[/tex]

The z-value for 90% confidence level is 1.645.

Substitute 1.645 for z

[tex]E = 1.645 \times \sqrt{\frac{10.24}{320}}[/tex]

[tex]E = 1.645 \times \sqrt{0.032}[/tex]

Take square roots

[tex]E = 1.645 \times 0.1789[/tex]

Multiply

[tex]E = 0.2943[/tex]

Approximate

[tex]E = 0.29[/tex]

Hence, the margin of error is 0.29

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Answer:

  6 cm

Step-by-step explanation:

If the original side length is x, then the modified square has an area of ...

  A = LW

  32 = (x +2)(x -2) = x^2  -4

  36 = x^2 . . . . . . . . add 4

  6 = x . . . . . . . . . . take the square root

The original figure has a side length of 6 cm.

__

Check

The modified figure is 8 cm by 4 cm = 32 cm^2.

The angle of slope of the line between the coordinates (-4, 10) and (-8, -6) is 4.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

To find the slope of a line, we use the formula:

slope = (change in y) / (change in x)

We can use the given points (-4, 10) and (-8, -6) to find the slope:

change in y = (-6) - 10 = -16

change in x = (-8) - (-4) = -4

slope = (-16) / 4 = 4

Therefore, the slope of the line passing through the points (-4, 10) and (-8, -6) is 4.

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the answer is -0.22

[tex] \: \: \: [/tex]

[tex] = \: \: \: \: - 22[/tex]

Step-by-step explanation:

[tex]2 \frac{1}{ \frac{5}{ - \frac{ 1} {10} } } [/tex]

[tex] \frac{11}{ \frac{5}{ - \frac{1}{10} } } [/tex]

[tex] \frac{11}{ - \frac{5}{ \frac{1}{10} } } [/tex]

[tex] = \: \: \: - 22[/tex]

Answer:

[tex]\boxed{\sf\: B)\:3^{12}}[/tex]

Step-by-step explanation:

[tex]\sf 3^2\times \:3^4\times \:3^6[/tex]

Apply exponent rule:

[tex]\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}[/tex]

Add the numbers:

________________________________

Answer:

y=3x-3

Step-by-step explanation:

slope = change in y/change in x

slope = 3/1 = 3

y-intercept = y value when x=0

 go 3u left, 3x3 = 9 so 9u down

 (0,-3)

slope = m = 3

y-int = b = -3

y=mx+b

y=3x-3

Answer:

A is correct. Car D will go furthest.

Step-by-step explanation:

Answer:

8.95

Step-by-step explanation:

when you divide it 44.75 divided by 5 it willl appeer the price of only one

Answer:

$8.95

Step-by-step explanation:

44.75/5=8.95

Using proportions, it is found that his DAILY RATE on that particular day is of Php 2,420 .

The rule of three is:

8 hours - Php 1420

14 hours - x

Applying cross multiplication:

[tex]8x = 1420 \times 14[/tex]

[tex]x = \frac{1420 \times 14}{8}[/tex]

[tex]x = 2485[/tex]

The closest option is Php 2,420.

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Answer:

22 hens and 78 sheep

Step-by-step explanation:

Let the number of hens = x

Number of sheep = y

Total heads = 100

x +  y = 100      --------------------(I)

x = 100 - y

Number of legs of 'x' hen = 2*x = 2x

Number of legs of 'y' sheep = 4*y = 4y

total legs = 356

2x + 4y =  356 -----------------------(II)

Substitute x = 100 -y in equation (II)

2(100 - y) + 4y = 356

2*100 - 2*y + 4y = 356

200 - 2y + 4y    = 356 {Combine like terms}

       200  + 2y = 356          {Subtract 200 from both sides}

                  2y = 356 - 200

                 2y = 156       {Divide both sides by 2}

                   y = 156/2

                 y = 78

Plugin  y = 78 in equation (I)

x + 78 = 100

      x = 100 - 78

      x = 22

22 hens and 78 sheep

Answer:

it's Ahmed shoveled more

Answer:

G=39, F=141

Step-by-step explanation:

Let us set up equations, with G and F as variables.

Since G and F are supplementary, they must add up to 180.

G+F=180

Given the equation, we can set it up too

F = 4 * G - 15

Here, we can solve for this equation by plugging the second equation into the first one with substitution

G+4*G-15=180

simplify and solve

5G=195

G=39

Plug this into the first equation to solve for F:

39+F=180

F=141

We can plug both answers into the second equation to check and find that we are indeed right.

Answer:

4/25=0.16=16%

3/11=0.27=27%

Step-by-step explanation:

Answer:

y= 4x+3

Step-by-step explanation:

To write your equation, solve for the slope.

(y2-y1)/ (x2-x1)

Find two coordinate points from the table.

(0,3) (1,7)

(7-3)/ (1-0)= 4

m=4

Use point-slope equation to find your equation.

(y-y1)=m(x-x1)

(y-3)=4(x-0)

y-3= 4x

y= 4x+3

The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24

The base of the parallelogram is represented by b

[tex]b = (x - 4)[/tex]

The height of the parallelogram is represented by h

[tex]h = (2 {x}^{2} - 6)[/tex]

The area of the parallelogram is represented by A

A = bh

A = (x - 4)(2x²- 6)

A = 2x³ - 6x - 8x² + 24

A = 2x³ - 8x² - 6x + 24

The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24

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Answer:

B.  2x3 – 6x2 – 14x + 24 square centimeters

Step-by-step explanation:

Have the day you deserve :)

Answer:

168 subtracted by 120 is going to equal 48

Step-by-step explanation:

The kind of symmetry that it forms is vertical line symmetry, only

Line of symmetry is the line that. divides a figure into two equal halves. The axis of the shape which divides the shape into two identical halves, vertically, is called a vertical line of symmetry.

According to the word given TOOT, this word can only form mirror images of each other along the y-axis TO | OT, hence the kind of symmetry that it forms is vertical line symmetry, only

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area of a square = length × length

a=4.5×4.5

Answer:

False

Step-by-step explanation:

Angle S is 6.75

Angle R is 6.8

Angle Q is 10.54

As a result, the answer is False since Angle Q is the greatest among the three angles and Angle S is least.

A box and whisker plot is made up of 5 pieces of information: the minimum, 1st/lower quartile, median, 3rd/upper quartile, and maximum.

Start by placing a dot on the minimum and maximum values. These are the "whiskers" of the box plot.

Next, we'll graph the lower and upper quartiles. On these values, draw vertical lines. We are given the lower quartile, but will need to find the upper quartile.

IQR = upper quartile - lower quartile

225 = x - 120

x = 345 minutes = 5 hours, 45 minutes

Now that we know the upper quartile, you will also draw a line on that value. Feel free to connect the lines to make the "box".

Lastly, we'll graph the median. This is another vertical line on the value. It should be directly in the middle of the lower and upper quartiles. It will be inside the box.

Hope this helps and if you have any further questions, please let me know! :)

Answer:

Hey there! Hope this helps a little!

Step-by-step explanation:

So to begin with the standard slope form equation is Ax+By=C

Lets say the question is 2x+3y=12 what you wanna do first is get y all by its self so what you so is subtract 2x from 2x what you do to one side make sure to do it on the other side subtract 2x from 12

Now you will have -2x/3+12/3

Solution is y=-2/3x+4 please let me know if you need further help!

Answer: Either angle DAB or angle BAD

Explanation:

The segments AB and AD have the point A in common. So this common point is the middle letter of the angle name. We could go for angle DAB or angle BAD as they both name the same exact angle. The order doesn't matter as long as the middle letter is fixed like this.

[tex]x^2 +5x -14 =0\\\\\implies x^2 +7x -2x -14 =0\\\\\implies x(x+7) -2(x+7)=0\\\\\implies (x-2)(x+7) =0\\\\\implies x =2~~ \text{or}~~ x =-7[/tex]

Answer:

x = -7 and x = 2

Step-by-step explanation:

x ^ 2 + 5x - 14 = 0 can be factored as follows:  (x + 7)(x - 2).  Note how 7x - 2x = 5x.

Setting each factor = to 0 and solving for x, we get x = -7 and x = 2.

Step-by-step explanation:

sure, this is one of the simplest things to do in math : the absolute value. it just delivers the positive value of a value.

if the value is already positive, the result is the same positive value. if the value is negative the result is the corresponding positive value.

really, that is all that is there to it.

so,

|11| = 11

|-12| = 12

no big magic, no mystery, no tricks or formulas to know.

it just is ...

Answer:

A. Stong positive

Step-by-step explanation:

Both the x and y variables move into the higher number on the chart!

Hope this helps!!

Please tell me if I have made a mistake, I enjoy learning form them:

Answer:

Shakespeare creates an immediate mood of sadness around Romeo because he said sad hours go by slow. also, he talks to benvolio about how sad he is

Answer:

18/66 (or 27%)

Step-by-step explanation:

6/11 chance of pink and 3/6 chance of odd number

6/11 * 3/6 = 18/66

Answer:

The answer is (x, y) = (x + 3, y-5)

Step by step explanation:

So y is the up and down axis while x it the side to side axis, so for y it would be 5 down (-5) and for x it would be 3 to the right (3).

Your Welcome. :)