The correct Standard Form of the equation y=−2/7x−11/7:

Answer: -63E2

Step-by-step explanation: i think

Answer:

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Step-by-step explanation:

Answer: 432 inches

Step-by-step explanation: 12 x 36 = 432.

Answer:

88

Step-by-step explanation:

100 - 12

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Number of families __________Expenditure

______midpoint (x) ____Town A __Town B

21-30 __25.5____________3 _______2

31-40 __35.5____________61 ______14

41-50 __45.5___________132 _____ 20

51-60 __55.5__________ 153 ______27

61-70 __65.5__________ 140 ______ 28

71-80 __75.5___________ 51 _______ 7

81-90 __85.5___________ 2 _______ 2

The variability is the variance and standard deviation :

The variance (s):

√Σ(x - m)²/Σf(x)

Town A:

m = Σ(X * f(x)) / Σf ; Σf = 542

Σ x * f(x) = (25.5*3) + (35.5*61) + (45.5*132) + (55.5*153) + (65.5*140) + (75.5*51) + (85.5*2)

= 29931 / 542

= 55. 22

Σf(x - m)² / Σf - 1 = [3(25.5-55.22)^2 + 61(35.5-55.22)^2 + 132(45.5-55.22)^2 + 153(55.5-55.22)^2 + 140(65.5-55.22)^2 + 51(75.5-55.22)^2 + 2(85.5-55.22)^2] / 541

= 76458. 4928 / 541

Variance = 141.32808

Standard deviation = √variance

Standard deviation = √141.32808

Standard deviation = 11.89

TOWN B:

m = Σ(X * f(x)) / Σf ; Σf = 100

Σ x * f(x) = (25.5*2) + (35.5*14) + (45.5*20) + (55.5*27) + (65.5*28) + (75.5*7) + (85.5*2)

= 5490 / 100

= 54.90

Variance :

Σf(x - m)² / Σf - 1 = [2(25.5-54.90)^2 + 14(35.5-54.90)^2 + 20(45.5-54.90)^2 + 27(55.5-54.90)^2 + 28(65.5-54.90)^2 + 7(75.5-54.90)^2 + 2(85.5-54.90)^2] / 99

= 16764 / 99

= 169.33

Standard deviation = √variance

Standard deviation = √169.3333

Standard deviation = 13.013

From the result above, Town A has lesser variability than Town B due to the slightly lower variance and standard deviation values.

Answer:

The dimensions of the aquarium that minimize the cost of the materials:

[tex]x=y = \sqrt[3]{\frac{2V}{9}} , z = \sqrt[3]{\frac{81V}{4}}[/tex]

Step-by-step explanation:

Let x, y and z be the dimensions of aquarium .

Surface area of an aquarium = xy+2yz+2xz

Volume of aquarium V= [tex]Length \times Breadth \times Height =xyz----A[/tex]

We are given that slate costs five times as much (per unit area) as glass

So, Cost function : C=9xy+2yz+2xz

Now we will use langrage multiplier to find the dimensions of the aquarium that minimize the cost of the materials.

[tex]\nabla C = \lamda \nabla V\\(\frac{\partial C}{\patial x},\frac{\partial C}{\partial y}, \frac{\partial C}{\partial z})=\lambda(\frac{\partial V}{\patial x},\frac{\partial V}{\partial y}, \frac{\partial V}{\partial z})\\(9y+2z,9x+2z,2y+2x)=\lambda(yz+zx+xy)[/tex]

So,[tex]9y+2z=\lambda yz -----1\\9x+2z=\lambda zx -------2\\2y+2x=\lambda xy --------3[/tex]

Multiply 1 ,2 and 3 by x,y and z respectively.

[tex]9xy+2xz=\lambda xyz ------4\\9xy+2zy=\lambda zxy -------5\\2yz+2xz=\lambda xyz --------6[/tex]

Now equate 4 and 5

9xy+2xz=9xy+2yz

x=y

Substitute y=x in 5 and 6 and equate them

[tex]9x^2+2xz=2xz+2xz\\9x=2z\\\frac{9x}{2}=z[/tex]

Substitute the values in A

[tex]Volume = xyz=(x)(x)(\frac{9x}{2})\\Volume V = \frac{9x}{2}x^3\\\sqrt[3]{\frac{2V}{9}}=x\\x=y=\sqrt[3]{\frac{2V}{9}}\\z=\frac{9(\sqrt[3]{\frac{2V}{9}})}{2}\\z=\sqrt[3]{\frac{81V}{4}}[/tex]

Hence,

The dimensions of the aquarium that minimize the cost of the materials:

[tex]x=y = \sqrt[3]{\frac{2V}{9}} , z = \sqrt[3]{\frac{81V}{4}}[/tex]

Answer: 1. 6,341

2. 634.1

3. 63.41

Step-by-step explanation:

Answer:

-39

Step-by-step explanation:

i think this is the answer

Answer:

-39

Step-by-step explanation:

(-35) - 4

We subtract 4 from -35 because the negative cancels out the positive.

By subtracting, you get -39

I hope this helped, please mark Brainliest, thank you!

Answer:

12.54

Step-by-step explanation:

Answer:

7 and 5

Step-by-step explanation:

3 divided by 2/25 will be 15/2 in fraction form, and will be 7.5 in decimal form.

Answer:

The quotient is 7 1/2.

Answer:

10, 12

Step-by-step explanation:

6 +4 up 6 is 10

5+7 right 5 is 7

Answer:

(11,11)

Step-by-step explanation:

You start by moving 5 units right which will get you to (11,7) then by moving 4 units up you get to (11,11)

We're given two pairs of congruent sides, and a pair of congruent angles. The angles are not between the two congruent sides. So we don't have enough information to know if the triangles are congruent or not. SSA is not a valid congruence theorem. This is because there are some cases where two triangles are possible leading to ambiguity.

If the marked angles were between the tickmarked sides, then we could use SAS.

Answer:

fdsfskdfdsjg,dgkdfjkgjkdfgjkfjkdghdkj

Step-by-step explanation:

Answer:

1.23

Step-by-step explanation:

103.32/(7*12)

103.32/84

1.23

Answer:

[tex]\%seniors = 16\%[/tex]

Step-by-step explanation:

Given

[tex]Students = 250[/tex]

[tex]Seniors = 40[/tex]

Required

Determine the percentage of seniors

This is calculated as thus;

[tex]\%seniors = \frac{Seniors}{Students} * 100\%[/tex]

[tex]\%seniors = \frac{40}{250} * 100\%[/tex]

[tex]\%seniors = \frac{4000\%}{250}[/tex]

[tex]\%seniors = 16\%[/tex]

Answer:

Step-by-step explanation:   2x+y=1

                                               4x+y=9        

we substract equals. 2x=8 so x=4 , y=-7

Answer:

25%

Step-by-step explanation:

Macy’s error is that the store employees get a 25% markdown off the current price. In the first markdown (i.e 50%) should have been reduced to 25% in the second markdown, instead of being totally free.

Answer:

5 ≤ y

Step-by-step explanation:

9514 1404 393

Answer:

  96 cubic feet

Step-by-step explanation:

A volume that is 16 ft by 18 ft by 1/3 ft will be ...

  V = LWH

  V = (16 ft)(18 ft)(1/3 ft) = 96 ft³

96 cubic feet of concrete are needed.

Answer:

Equal angles; Vertical angles ( which means equal ) ; Angles do not share special relationship; and right angles.... Hope this helps!

Step-by-step explanation:

Answer:

31.67

Step-by-step explanation:

Given :

Segment QS

Endpoints for Q and S

Q = 15

S = 40

R partitions QS in a 6 : 3,

Sum of ratio = (6 + 3) = 9

Position of R:

(Q's proportion/total ratio) * (S - Q) + Q

6/9 * (S - Q) + Q

6/9 * (40 - 15) + 15

2/3 * 25 + 15

50/3 + 15

16.67 + 15

31.67

Answer:

0.17

Step-by-step explanation:

hope i helped

Let the largest angle in a triangle be x .

Then :-

The smallest angle :-

[tex] \frac{1}{3} x[/tex]

The third angle :-

[tex] \frac{2}{3} x[/tex]

Let us find the measure of the three angles .

Sum of all angles in the interior of a triangle = 180°

An equation to find the value of each angle :-

[tex]x + \frac{1}{3} x + \frac{2}{3} x = 180[/tex]

[tex]x + \frac{3}{3} x = 180[/tex]

[tex]x + \frac{1}{1} x = 180[/tex]

[tex]x + 1x = 180[/tex]

[tex]x + x = 180[/tex]

[tex]2x = 180[/tex]

[tex]x = \frac{180}{2} [/tex]

[tex]x = 90[/tex]

Which means :-

Measure of the largest angle = 90°

Measure of the smallest angle :-

[tex] \frac{1}{3} \times 90[/tex]

[tex] = 30°[/tex]

Measure of the third angle :-

[tex] \frac{2}{3} \times 90[/tex]

[tex] = 60°[/tex]

The measure of the largest angle = 90°

The measure of the smallest angle = 30°

The measure of the third angle = 60°

Answer:

c = 64

Step-by-step explanation:

I hope this helps!

Answer:

2.5 one decimal rounding off means to make it to one decimal place.the no is 24.9652 if you want to round of then you have to put decimal after 2 only then it will be one decimal place .this is because when we see a number after the point greater than 5 then we add 1 to the right side .now if we add 1 to the right side of 24.9652 by rounding off and making it to one decimal place then it will be 2.5.