The table gives information about the heights, in cm, of some children.
Height (in cm)
Frequency
140 7
150 17
160 20
170 6
Estimate the mean height, in cm, of the children.

Answer:

(x²+1)(x²-1)⁶ = x¹⁴-5x¹²+9x¹⁰-5x⁸-5x⁶+9x⁴-5x²+1

Step-by-step explanation:

Pascal triangle 6th row for (a + (-b))⁶;  ... for (x²-1)⁶

a⁶+6a⁵(b)¹+15a⁴(b)²+20a³(b)³+15a²(b)⁴+6a(b)⁵+1*(b)⁶   .. a=x²   b = -1

= x¹²+6x¹⁰(-1)¹+15x⁸(-1)²+20x⁶(-1)³+15x⁴(-1)⁴+6x²(-1)⁵+1*(-1)⁶

= x¹²-6x¹⁰+15x⁸-20x⁶+15x⁴-6x²+1

(x²+1)(x²-1)⁶ = (x²+1)(x¹²-6x¹⁰+15x⁸-20x⁶+15x⁴-6x²+1)

                  = x¹⁴-5x¹²+9x¹⁰-5x⁸-5x⁶+9x⁴-5x²+1

Answer:

y = 70°

Step-by-step explanation:

4x - 50 and 2x + 30 are equal, because they are corresponding angles

4x - 50 = 2x + 30

4x = 2x + 80

2x = 80

x = 40°

The angle below 2x + 30 = y, because they are vertical angles

Since we know what x is, we can substitute x from 2x + 30

And since two angles that take up a line are 180°, we can add them

2(40) + 30 + y = 180

80 + 30 + y = 180

110 + y = 180

y = 180 - 110

y = 70

-Chetan K

Answer:

Step-by-step explanation:

9x-1 + 5x-15 =180, 14x-16=180, x = 14

9x-1 + y-20 = 180, 126-1-20+y =180, y = 105

Step-by-step explanation:

let's just write the equations on top of each other as in a large subtraction, then transform one of them so that at least one term is the range in both equations, and then do the subtraction.

a)

I automatically write rational numbers as the total fractions (14 1/4 = 57/4, 3 3/4 = 15/4)

15x - 7y = 57/4

- 5x - y = 15/4

15x - 7y = 57/4

- 15x - 3y = 45/4

-------------------------

0 -4y = 12/4

y = -(12/4)/4 = -12/16 = -3/4

then we use that in the simpler second equation

5x - -3/4 = 15/4

5x + 3/4 = 15/4

5x = 12/4

x = (12/4)/5 = 12/20 = 3/5

b)

we don't need to transform any equation, as the x terms are already equal.

3x - 4y = 2

- 3x - 7y = -1

-------------------

0 3y = 3

y = 3/3 = 1

using this in e.g. the first equation

3x - 4×1 = 2

3x - 4 = 2

3x = 6

x = 6/3 = 2

Answer:

74

Step-by-step explanation:

subtract a from b

√64.93 units

Step-by-step explanation:

Let point A and B be x and y.

Distance=√(x)²+(y)²

=√(64)²+(-11)²

=√4096+121

=√4217

√64.93 units

Answer:

([ 1 ], [ 2 ], [ 3 ])

Step-by-step explanation:

y – 3z = -7; z = 3 => y = 2

x + 4y +z = 12 => x + 4(2) + 3 = 12 => x = 1

([ 1 ], [ 2 ], [ 3 ])

Answer:

T-.5 = x (200)

Step-by-step explanation:

Let T = total time in hours

30 mn = .5 hours  30 /60 = .5

$ 2.00 is the rate per hour.

so  T − .5 =  the time that will be charged at the rate

Therefore the  total charge is then

T − .5 × 2.00

Answer:

24 machines

Step-by-step explanation:

36*54= x*81

x=36*2/3

x=24

Answer:

24

Step-by-step explanation:

We can set up a simple equation and solve for x to get our answer

36 machines for 54 days = x machines for 81 days

we know that they will produce the same amount of toys as the end result, so we can set both equations equal to each other and solve for x

so,  

[tex]36*54=81x\\\\\frac{(36*54) }{81} =x\\\\\frac{1944}{81}=24 \\\\x=24[/tex]  

first, divide both sides by 81

then multiply 36 with 54 and divide by 81

and we get x=24

So it'll take 24 machines to produce the same number of toys in 81 days

Feel free to ask questions if you need further help

Answer:

1 dollar

Step-by-step explanation:

Answer:

b. the two lines are neither parallel nor perpendicular.

Answer:

D = 0, x = -3

Step-by-step explanation:

D = b*b - 4ac = 36 - 4*9 = 36 - 36 = 0

x = -b/2a since D = 0, so

x = -6/2 = -3

Answer:

x = 80

y = 100

z = 80

Step-by-step explanation:

hope it's helpful to you ☺️

Answer:

t = d/r

Step-by-step explanation:

Given the equation, d = rt for t:

Switch sides:

rt = d

Divide both sides by r to isolate t:  

[tex]\frac{rt}{r} = \frac{d}{r}[/tex]

t = d/r

Answer:

6.71

Step-by-step explanation:

Using the distance formula:

[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

= √(-1-5)^2 + (8-5)^2

= √36 + 9

= √45

= 3√5 <- Optional

= 6.70820393

≈ 6.71

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

[tex]3\sqrt{5}[/tex]

Decimal form: 6.70820393 …

Step-by-step explanation:

The length of this line can be found by using the distance formula:

[tex]{\sqrt (}(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2})[/tex]

Step 1: Plot the coordinates of both points.

Step 2:  Evaluate the x-axis and y-axis distance between the points.

Step 3:  Square both results.

Step 4: Add the squared results.

Step 5: The answer lies in the square root of the equation.

Answer:

12(2A+B)=12*3

Step-by-step explanation:

Answer:

[tex]12[/tex]

Step-by-step explanation:

We know that [tex]24=12*2[/tex], [tex]12=12*1[/tex], and [tex]36=12*3[/tex].

So, we can re-write the equation as [tex]12*2*A+12*1*B=12*3[/tex].

We can factor out a [tex]12[/tex] from both sides to get [tex]12(2A+B)=12(3)[/tex].

The insides can't be simplified anymore, so the final equation is [tex]12(2A+b)=12(3)[/tex] and the gcf is [tex]\boxed{12}[/tex]

Answer: The area is 12 inches

Step-by-step explanation:

If the bigger one is 24 inches, and the bigger one is two times the size of the smaller one, the smaller one is 12 iches

Answer:

x=15

Step-by-step explanation:

Rate as BRAINLIEST

JM = 4x-29

4x-29 = 6+13 +2x-18

4x -29 = 19 +2x -18

4x -29 = 1 +2x

2x -29 = 1

2x = 30

x = 15

Answer:

x=70

Step-by-step explanation:

The angle type is a verticle angle as such they are congruent.

Answer:

The answer is 70

Step-by-step explanation:

70 is across from X and because of this it equals 70. Ignore line I and thing of a 180 degree straight line if you have 70 then the other side is going to equal 110 so its the same for below the line.

Answer:

1133232323232332323332

Step-by-step explanation:

Answer: 1133232323232332323332

Step-by-step explanation:

Answer:56

Step-by-step explanation:bc thats the answer

Answer:

[tex]\sf The \: answers\: are \:attached[/tex]

_________________

Answer:

x=5

Step-by-step explanation:

In this equation, we need to find x. According to the Vertical Angles Congruence Theorem, all vertical angles are congruent. Therefore, because angles (2x+12) and (8x-18) are vertical angles, they are congruent. We can set this up as an equation and simply solve for x:

2x+12=8x-18   Subtract 2x from both sides.

-2x      -2x

12=6x-18         Add 18 to both sides.

+18    +18

30=6x             Divide both sides by 6.

/6   /6

5=x

I hope this helps!! Have an amazing day :)

Answer:

x = 5

Step-by-step explanation:

The two angles have the same degree because of the Vertical Angles rule. This means that if angles are vertical, then they are congruent. Therefore, we can solve for x by setting the two angles equal to each other.

2x + 12 = 8x - 18

    + 18         + 18

2x + 30 = 8x

-2x          -2x

30 = 6x

÷6    ÷6

5 = x

We can then double check this by inputing x back into the equations

2x + 12 = 2(5) + 12 = 10 + 12= 22

8x - 18 = 8(5) - 18 = 40 - 18 = 22

These check out so x = 5

I hope this helped :)

Answer:The F-5 is an agile, highly maneuverable, reliable supersonic fighter, combining advanced aerodynamic design, engine performance and low operating costs. ... The U.S. Navy operates the F-5 in its adversary squadrons to simulate enemy aircraft in aerial combat training exercises.

It is -5/6

I here is the anwer

Answer:

Where is your attachment or question

Answer:

The picture is to small.

Step-by-step explanation:

To small.

Answer:

B= (-1, 7)

Step-by-step explanation:

Midpoint formula is X1 plus X2, then divided by 2. So, because the midpoint is given you work backwards. So for the x value do (-3 + x) divided by 2 equals -2 and solve for x and you do the same thing for the Y value