6. three different distributions there are 559 full-service restaurants in delaware. the mean number of seats per restaurant is 99.2. [source: data based on the 2002 economic census from the us census bureau.] suppose that the true population mean µ

Answer:

∠1 = 103.9° ;  ∠2 = 27.8°

Step-by-step explanation:

Supplementary angles = 180°

So, Let the angles be 'x'

Then, x + x -27.8° = 180°

         2x - 27.8° = 180°

         2x = 180° + 27.8°

         2x = 207.8°

          x = 207.8°/2

          x = 103.9°

Therefore ∠1 = 103.9° ; ∠2 = 27.8°

I hope the answer is correct and has helped you!!!

Answer:

5) a) x=55

Step-by-step explanation:

x=55

2x + 15 = 110 + 15

=125

Answer: The rhombus below has two lines of symmetry, and the shape below has two lines of symmetry.

Step-by-step explanation:

Symmetry is when we split an object in half, in which both sides are equivalent. This definition must explain how the rhombus was most plausibly split, as well as the letter "H".

Answer:

-3(4x + 1) = 21 given

4x + 1 = -7 Division Property of Equality

4x = -8 Subtraction Property of Equality

x = -2 Division Property of Equality

Answer:

see explanation

Step-by-step explanation:

prove by solving the equation

- 3(4x + 1) = 21 ( divide both sides by - 3 )

4x + 1 = - 7 ( subtract 1 from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

thus solution is x = - 2

convert feet to miles;

10,560 = 2 miles

30 minutes to miles;

2; therefore,

in 1hr she walked 4 miles

4 miles/hour

Answer:

Step-by-step explanation:

Answer:

[tex]4r - 9s = k \\ ➪4r = 9s + k \\➪ r = \frac{9s + k}{4} [/tex]

Hope it helps

Answer 9 3/7

Step-by-step explanation:

[tex] \frac{30}{7} \times \frac{11}{5} \\ = \frac{330}{35} \\ = 9 \frac{15}{35} [/tex]

SIMPLIFIED WE GET:

[tex]9 \frac{3}{7} [/tex]

THE LAST OPTION IS THE ANSWER

Answer:

a. Perpendicular

Make sure to read the step-by-step explanation to figure out how to do the other 2.

Step-by-step explanation:

I will not be providing answers to all three, but I will answer the first one (this is, so you don't depend on people to solve this for you).

Parallel lines have one thing in common, their slope. Two lines that have the same slope never intersect because they are both facing the same direction and moving the same distance. So, you can find the slope of two lines by using the slope formula.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m_1=\frac{-6-(-3)}{-4-2}=\frac{-3}{-6}=\frac{1}{2}\\m_2=\frac{-8-2}{2-(-3)}=\frac{-10}{5}=-2[/tex]

This is evidence that the two lines are not parallel. But, by finding the slope, we can conclude that it is perpendicular.

This brings me to how to identify perpendicular lines. The slope of perpendicular lines is negative reciprocals. A reciprocal is just a fraction that is flipped, and it's negative. For example, [tex]\frac{-2}{3}[/tex]'s negative reciprocal would be [tex]\frac{3}{2}[/tex]. The negative of -2/3 is a positive, and the reciprocal of 2/3 is 3/2. So, the negative reciprocal is 3/2.

Well, [tex]-2[/tex] is the negative reciprocal of [tex]\frac{1}{2}[/tex]. The reciprocal of [tex]\frac{1}{2}[/tex] is 2, and the negative of 2 is -2. So, simply, lines 1 and 2 are perpendicular.

Use this method to solve the other questions. If they don't have the same slope and aren't negative reciprocals, then they are neither.

Answer:

Step-by-step explanation:

        To solve this problem, we use the following formula:

                        [tex]\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]

    a) (2,-3)  (-4,-6)

[tex]x_1=2\ \ \ \ x_2=-4\ \ \ \ y_1=-3\ \ \ \ y_2=-6[/tex]

[tex]\displaystyle\\\frac{x-2}{-4-2} =\frac{y-(-3)}{-6-(-3)} \\\\\frac{x-2}{-6}=\frac{y+3}{-6+3} \\\\\frac{x-2}{-6} =\frac{y+3}{-3}[/tex]

Multiply both parts of the equation by -3:

[tex]\displaystyle\\\frac{x-2}{2}=y+3\\\\0.5x-1=y+3\\\\0.5x-1-3=y+3-3\\\\0.5x-4=y\\[/tex]

⇔ Line 1: y=0.5x-4    m₁=0.5

   (-3,2)  (2,-8)

[tex]\displaystyle\\\frac{x-(-3)}{2-(-3)}=\frac{y-2}{-8-2} \\\\\frac{x+3}{2+3} =\frac{y-2}{-10} \\\\\frac{x+3}{5} =\frac{y-2}{-10} \\\\[/tex]

Multiply both parts of the equation by -10:

[tex]-2(x+3)=y-2\\-2x-6=y-2\\-2x-6+2=y-2+2\\-2x-4=y[/tex]

⇔ Line:y=-2x-4   m₂=-2

[tex]\displaystyle\\m_1=-\frac{1}{m_2}[/tex]

⇒ The given  lines are perpendicular

b)

(-4,-5)   (4,1)

[tex]\displaystyle\\\frac{x-(-4)}{4-(-4)}=\frac{y-(-5)}{1-(-5)} \\\\\frac{x+4}{4+4}=\frac{y+5}{1+5} \\\\\frac{x+4}{8} =\frac{y+5}{6} \\[/tex]

Multiply both parts of the equation by 6:

[tex]\displaystyle\\\frac{6(x+4)}{8} =y+5\\\\\frac{3}{4} x+3=y+5\\\\\frac{3}{4} x+3-5=y+5-5\\\\\frac{3}{4} x-2=y\\[/tex]

⇔ Line 1: y=(3/4)x-2     m=3/4

     (6,10)    (-3,-2)

[tex]\displaystyle\\\frac{x-6}{-3-6} =\frac{y-10}{-2-10} \\\\\frac{x-6}{-9} =\frac{y-10}{-12} \\\\[/tex]

Multiply both parts of the equation by -12:

[tex]\displaystyle\\\frac{-12(x-6)}{-9} =y-10\\\\\frac{4}{3}x-8=y-10 \\\\\frac{4}{3}x-8+10=y-10+10\\\\\frac{4}{3}x+2=y[/tex]

⇔ Line 2: y=(4/3)x+2    m=4/3

⇒  The given  lines are neither perpendicular and neither parallel

c)

  (0,-4)   (-2,-8)

[tex]\displaystyle\\\frac{x-0}{-2-0} =\frac{y-(-4)}{-8-(-4)} \\\frac{x}{-2}=\frac{y+4}{-8+4} \\\\\frac{x}{-2}=\frac{y+4}{-4}[/tex]

Multiply both parts of the equation by -4:

[tex]2x=y+4\\2x-4=y+4-4\\2x-4=y[/tex]

⇔ Line 1: y=2x-4     m₁=2

  (-1,5)   (1,9)

[tex]\displaystyle\\\frac{x-(-1)}{1-(-1)} =\frac{y-5}{9-5} \\\\\frac{x+1}{1+1} =\frac{y-5}{4}\\\\\frac{x+1}{2} } =\frac{y-5}{4} \\[/tex]

Multiply both parts of the equation by 4:

[tex]2(x+1)=y-5\\2x+2=y-5\\2x+2+5=y-5+5\\2x+7=y[/tex]

⇔ Line 2: y=2x+7    m₂=2

m₁=m₂  

⇒ The given  lines are parallel

Answer:

The length of the radius is 10.7cm

Step-by-step explanation:

[tex]v = \pi {r}^{2} h[/tex]

6480=(22r*180)/7

6480*7=3960r

r=

[tex]r = \sqrt{45360 \div 396} [/tex]

Hello!

What is the slope-intercept form:

 [tex]y = mx + b[/tex]

             [tex]m = \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-4}{0--2} =\dfrac{-5}{2}[/tex]  

               ⇒ where (x₂,y₂) and (x₁,y₁) are random points on the line

            ⇒ thus our y-intercept is '-1'

Thus our line's equation in slope-intercept form:

     [tex]y= -\dfrac{5}{2}x -1[/tex]

Hope that helps!

Correct option is B)

Put x=3y=4

(3x+4y):(5x+6y)=(3×3+4×4):(5×3+6×4)

                                      =(9+16):(15+24)

                                      =25:39

Answer:

5.48, 78.541 and 97

Step-by-step explanation:

A rational number by definition refers to a number that is in the form of k/m and in which k and m are integers and m is not equal to 0.

Let me give you some examples:

From our question,

Therefore 5.48, 78.541 and 97 are rational numbers

1) (4, 8)

2) (4, 8)

The midpoints are already given to you.

Answers:

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

Explanation:

A = (9, -10)

B = (4,8)

C = (x,y)

A and C are the endpoints. B is the midpoint of segment AC.

The x coordinates of A and C are 9 and x respectively. Add them up and divide in half to get (9+x)/2. This is set equal to the x coordinate of point B and we solve for x.

(9+x)/2 = 4

9+x = 2*4

9+x = 8

x = 8-9

x = -1

The x coordinate of point C is -1.

Use the same idea for the y coordinates.

(-10+y)/2 = 8

-10+y = 2*8

-10+y = 16

y = 16+10

y = 26

Point C is located at (-1, 26)

The midpoint between (9, -10) and (-1, 26) is (4, 8)

Use the midpoint formula to confirm this.

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

The steps for the second problem are going to follow the same outline.

A = (-6,4)

B = (4,8)

C = (x,y)

(-6+x)/2 = 4 solves to x = 14

(4+y)/2 = 8 solves to y = 12

Point C is located at (14, 12)

The midpoint between (-6, 4) and (14, 12) is (4, 8)

the numerical value of x in fraction and decimal form are 11/2 and 5.5 respectively.

A midpoint is simply a point that divides a line segment into two equal halves.

Given the data in the question;

Since that T is the midpoint of segment SU, segment ST and segment TU are two equal halves of of segment SU.

Segment ST = Segment TU

Plug in the given values and solve for x

14x - 6 = 12x + 5

14x - 12x = 5 + 6

2x = 11

x = 11/2

x = 5.5

Therefore, 11/2 or 5.5 is the numerical value of x.

Learn more about midpoint of line segment here: brainly.com/question/4747771

#SPJ1

Answer:

The 5 students receive the larger amount.

100:5= 20 gram per student

100÷20= 5 gram per student

Step-by-step explanation:

prove me wrong

a shorter solution that probably will get full pts :

Because each group has the same mass of the chocolate bar, whichever group has less students will get a larger amount of chocolate per student (as there are less people receiving)

and here's if you think it is kinda not too detailed :

The first group has each student receiving 100 : 5 = 20 grams of chocolate per student
The second group has each student receiving 100 : 20 = 5 grams of chocolate per student

Both solutions give us a conclusion of : The group with 5 students have each of the receiving a larger amount of chocolate.

Answer:

x = 132°

Step-by-step explanation:

Sum of interior angles = (n - 2) x 180, where n is number of sides of the polygon.

Sum = (6 - 2) x 180 = 720°

sum = 160 +75 + 132 + 113 + 108 + x

sum = 588 + x

720 = 588 + x

x = 720 - 588

x = 132°

:)

The graph shown below represents the equation y =[tex]3\sqrt{x+6} -3[/tex]

Two number lines combine to form a two-dimensional surface known as a coordinate plane. It is created when the origin, a point where the X- and Y-axes coincide, is crossed by a horizontal line. Points are located using the numbers on a coordinate grid. You can graph points, lines, and many other things using a coordinate plane. It serves as a map and provides clear directions between two points.

To learn more about coordinate plane visit :

brainly.com/question/13611766

#SPJ9

Answer: 40

Step-by-step explanation:

The smallest number that all three numbers go into evenly is 40.

Therefore the LCM of 8, 11, and 20 is 40.

Answer:

440

Step-by-step explanation:

To find the Least common multiple (L.C.M) of 8, 11 and 20, it means that:

8 = 2,2,2

11 = 1, 11

20= 2,2,5

LCM of 8,11,20 = 2× 2 × 2 × 11 × 5

= 440

SOMEONE HAS A PET WATER BUFFALO.

THE GIVEN STATEMENT IS INDICATING THAT NOT EVEN ONE PERSON HAS A PET WATER BUFFALLO SO THE NEGATION SHOULD INDICATE THERE IS SOMEONE WHO DOES HAVE A PET WATER BUFALLO.

HOPE THIS HELPS

Because triangle SRT and VUW are similar, all sides of triangle SRF are scaled up by an amount.

We calculate the scale factor : 9/5.4 = 5/3

-> The corresponding side of SR (UV)  is scaled down 5/3 times from the length of SR
-> UV = 6 : 5/3 = 3.6 (inches).

Answer: if the j is supposed to be there, the answer is -9+24j. if the j is not there then just -9+24.

Step-by-step explanation: we distribute the -3 to the 3 and the -8. (-3x3=-9) and (-3x-8=24). when you multiply for divide by a single negative it is negative. when there are two negatives the answer will come out positive.

Answer:

24 wings

Step-by-step explanation:

Answer:

17 wings

Step-by-step explanation:

1. first we multiply 3 by 27.20 you get  81.6

2. then we divide 81.6 by 4.80 and we get 17

17 wings

Answer:

$71.39

Step-by-step explanation:

So we can go ahead and add the extra money they paid (sales tax and tip).

15% + 6% = 21%

Then we can find 21% of 59 then that will be our extra money we're paying.

59 × 0.21 = 12.39

Then we add that amount to our 59 to get the total amount.

59 + 12.39 = 71.39

Semicircle is the best figure to use to estimate the volume of the punch bowl.

To learn more about volume, refer to:

https://brainly.com/question/463363

#SPJ13

On solving the simultaneous equations 3x+2y=7 and 2x-3y=-4 , the value of x is 1 and the value of y is 2  .

In the question,

it is given that the simultaneous equations are

3x+2y=7   ....(i)

and

2x-3y=-4    ...(ii)

to solve these equations ,

we multiply equation(i) with 2 and

multiply equation(ii) with 3 .

So , the equations become

6x+4y=14 ...(iii)

and

6x-9y=-12 ....(iv)

we subtract equation (iv) from  (iii) ,

So,

(6x+4y)-(6x-9y)=14-(-12)

Solving further ,

6x+4y-6x+9y = 14+12

4y+9y = 26

13y = 26

y = 26/13

y = 2

Substituting the value of y as 2 in equation (iii) , we get

6x+4(2) = 14

6x + 8 = 14

6x = 14-8

6x = 6

x=6/6

x=1

hence x=1 and y=2 .

Therefore , On solving the simultaneous equations 3x+2y=7 and 2x-3y=-4 , the value of x is 1 and the value of y is 2  .

Learn more about Equations here

https://brainly.com/question/16848868

#SPJ1

Answer:

8x6y12

Step-by-step explanation: