I need the answers to this question

I Need The Answers To This Question

Answers

Answer 1

Answer: Madison can travel 2.2 miles less than Anthony on one gallon of gas.

Step-by-step explanation:

The equation y = 39.1[tex]x[/tex] represents the number of miles, [tex]y[/tex], that madison can drive her car for every x gallons of gas.

Question: Madison can travel _ miles _ than Anthony on one gallon of gas.

Lets find how much Madison travels on 1 gallon of gas.

39.1(1) = 39.1

Therefore, Madison travels 39.1 miles on one gallon of gas.

Now lets solve for Anthony

Anthony travels 380.7 miles on 9 gallons of gas.

Therefore we can set up the equation:

9x = 380.7 to show that 9 gallons equates to 380.7 miles

to solve divide 9 from both sides

[tex]\frac{9x}{9} =\frac{380.7}{9}[/tex]

x = 41.3

So, Anthony travels 41.3 miles on one gallon of gas

Now find whether Madison travels more or less than Anthony on one gallon.

39.1 - 41.3 = -2.2

This means that Anthony can travel 2.2 miles more than Madison.


For your answer, this means that:

Madison can travel 2.2 miles less than Anthony on one gallon of gas

Hope this helped and have a nice day :)


Related Questions

How do I graph the following set {x is an even number, -1≤x<12}

Answers

Step-by-step explanation:

Use this sort of layout, but where x will be an odd number, do not shade it. there should be a pattern of shaded segments followed by unshaded segments repeating

Graph this system of inequalities. Identify the solution region on the graph.
y<-x+4, y>-x 2

Answers

The system of inequalities y < -x+4 and y >-x 2 do not have a solution

What are inequalities?

Inequalities are expressions that have unequal values when compared or evaluated

How to determine the solution to the system?

The system of inequalities is given as

y < -x+4

y >-x 2

Next, we plot the inequalities on a graphing tool

See attachment for the graph

From the attached graph, the lines of the inequalities do not intersect

This means that the system of inequalities do not have a solution

Hence, the system of inequalities y < -x+4 and y >-x 2 do not have a solution

Read more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

4.) Determine the missing side of a rectangle with an area of 480 cm² and a length of 32 cm. Please show your work.​

Answers

Answer:

w = 15 cm

Step-by-step explanation:

We want to find the width, as the area of a rectangle is length (l) * width (w).

Since we know the area and the length, we have 480 = 32w

Isolating w by dividing both sides by 32 gives us w = 15 cm

[tex]\lim _{x\to \infty }\left(\frac{tanx-sinx}{x^2}\right)[/tex]

Answers

The limit does not exist. There are infinitely many infinite discontinuities at [tex]x=n\pi[/tex], where [tex]n\in\Bbb N[/tex]. The function oscillates wildly between negative and positive infinity.

need help please...

Answers

Answer:

[tex]\sf 28 \frac{1}{3} \:ft=28.3\:ft\:(nearest\:tenth)[/tex]

Step-by-step explanation:

Given information:

It takes Mr Kelly 6 strides to walk 20 ft.It takes Mr Kelly 8.5 strides to walk the other side of his house.

Let x be the unknown length of the other side of Mr Kelly's house.

To solve, set up a ratio with the given information and the defined unknown, then solve for x:

[tex]\textsf{20 ft : 6 strides = x ft : 8.5 strides}[/tex]

[tex]\implies \sf 20:6 = x:8.5[/tex]

[tex]\implies \sf \dfrac{20}{6}=\dfrac{x}{8.5}[/tex]

[tex]\implies \sf x=\dfrac{20 \cdot 8.5}{6}[/tex]

[tex]\implies \sf x=\dfrac{170}{6}[/tex]

[tex]\implies \sf x=28 \frac{1}{3} \:ft[/tex]

[tex]\implies \sf x=28.3\:ft\:(nearest\:tenth)[/tex]

Therefore, the length of the other side of Mr Kelly's house that takes him 8.5 strides to walk is 28.3 ft (nearest tenth).

Let that be x

20:x=6:8.520/x=6/8.520/x=12/1712x=17(20)12x=340x=340/12x=28.3ft

A kite is flying 95 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 59 degrees. Find the length of the string. Round your answer to the nearest tenth.

Answers

If a kite is flying 95 ft. off the ground, and its string is pulled taut. The angle of elevation of the kite is 59 degrees. Then the length of the string will be 110.8 ft.

Given information constitutes the following,

The distance of the flying kite from the ground, length AB (refer the figure) = 95 ft.

The angle of elevation of the kite, ∠ACB = 59°

We have to find the length of the string, that is the length AC. For that, we can apply Trigonometry as shown in the next steps of the solution.

In ΔABC, as shown in the attached figure,

sin (∠ACB ) = AB / AC

⇒ sin (59°) = 95 / AC

0.8572 = 95 / AC

AC = 95 / 0.8572

AC = 110.814

AC ≈ 110.8 ft.                [After rounding off to the nearest tenth]

Hence, the length of the string comes out to be 110.8 ft.

Learn more on length here:

https://brainly.com/question/8552546

#SPJ1

solve the simultaneous equation 2x+y=22 =12, x + 24+2 = 18, 2x -y +22=16 ​

Answers

The solution for the simultaneous equations 2x + y - 2z = 12, x + 2y +z =18 and 2x - y + 2z =16 are x = 7, y = 4 and z = 3

What are linear equations?

Linear equations are equations that have constant average rates of change, slope or gradient

How to determine the solution to the simultaneous equations?

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x + y - 2z = 12,

x + 2y +z =18

2x - y + 2z =16

Eliminate y and z in the equations by adding the first and the third equation together

This gives

2x + y - 2z = 12,

+

2x - y + 2z =16

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

4x = 28

Divide both sides by 4

x = 7

Substitute x = 7 in x + 2y +z =18 and 2x - y + 2z =16

7 + 2y +z =18

2(7) - y + 2z =16

This gives

2y + z = 11

-y + 2z= 2

Multiply -y + 2z= 2 by 2

-2y + 4z= 4

Add -2y + 4z= 4 and 2y + z = 11

5z = 15

Divide by 5

z = 3

Substitute z = 3 in -y + 2z= 2

-y + 2*3= 2

Evaluate

y = 4

Hence, the solution for the simultaneous equations 2x + y - 2z = 12, x + 2y +z =18 and 2x - y + 2z =16 are x = 7, y = 4 and z = 3

Read more about system of equations at

https://brainly.com/question/14323743

#SPJ1

Someone please help me with this question asap!

Answers

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

Correct choice = B

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

Take HJ = a, GH = b and GJ = c

a = b + 2

c = a + b - 17

a + b + c = 73

put the value of a from equation 1 in equation 2

[tex]\qquad❖ \: \sf \:c = (b + 2) + b - 17[/tex]

[tex]\qquad❖ \: \sf \:c = 2b - 15[/tex]

now, put the value of a and c in equation 3

[tex]\qquad❖ \: \sf \:b + 2 + b + 2b - 15 = 73[/tex]

[tex]\qquad❖ \: \sf \:4b - 13 = 73[/tex]

[tex]\qquad❖ \: \sf \:4b = 86[/tex]

[tex]\qquad❖ \: \sf \:b = 21.5 \: \: in[/tex]

Now, we need to find HJ (a)

[tex]\qquad❖ \: \sf \:a = b + 2[/tex]

[tex]\qquad❖ \: \sf \:a = 21.5 + 2[/tex]

[tex]\qquad❖ \: \sf \:23.5 \: \: in[/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

Option B is correct

Answer:

23.5 in

Step-by-step explanation:

To find the length of HJ in triangle GHJ, create three equations using the given information, then solve simultaneously.

Equation 1

HJ is two inches longer than GH:

⇒ HJ = GH + 2

Equation 2

GJ is 17 inches shorter than the sum of HJ and GH:

⇒ GJ + 17 = HJ + GH

Equation 3

The perimeter of ΔGHJ is 73 inches:

⇒ HJ + GH + GJ = 73

Substitute Equation 1 into Equation 2 and isolate GJ:

⇒ GJ + 17 = GH + 2 + GH

⇒ GJ + 17 = 2GH + 2

⇒ GJ = 2GH - 15

Substitute Equation 1 into Equation 3 and isolate GJ:

⇒ GH + 2 + GH + GJ = 73

⇒ 2GH + GJ = 71

⇒ GJ = 71 - 2GH

Equate the two equations where GJ is the subject and solve for GH:

⇒ 2GH - 15 = 71 - 2GH

⇒ 4GH = 86

⇒ GH = 21.5

Substitute the found value of GH into Equation 1 and solve for HJ:

⇒ HJ = 21.5 + 2

HJ = 23.5

SOLVE THE FOLLOWING PROBLEMS.
A) IN HOW MANY WAYS CAN THE LETTERS OF THE WORD “TRACK” BE ARRANGED?
B) A STUDENT MUST SELECT AND ANSWER SIX OUT OF TEN QUESTIONS ON AN EXAM. IN HOW MANY WAYS CAN THIS BE DONE?
C) A TEACHER DECIDES TO GIVE SIX IDENTICAL PRIZES TO 6 OF THE 20 STUDENTS IN HIS CLASS. IN HOW MANY WAYS CAN THIS BE DONE

Answers

The answers to the question are:

12021038760

How to solve for permutations and combinations

1. The letters of the word track can be arranged in 5! ways

These are  5 x 4 x 3 x 2 x1

= 120

2. The way that the student would be able to select 6 out of 10 questions would be by 10C6

= 210 ways

C)This teacher would be able to make the decision of the prices to the students using =20C6= n!(n-r!r!)

= 38760

Read more on permutations and combinations here:

https://brainly.com/question/4658834

#SPJ1

Determine three numbers a , b , c
such that a , b , c are three consecutive terms of a geometric sequence and an arithmetic sequence at the same time.
Note: i do not want the answer
d=0 and r=1, as in 2 , 2 , 2 , 2 , 2...
Given also:
abc=27 or a.b.c=27​

Answers

Since [tex]a,b,c[/tex] are in geometric progression, if [tex]r[/tex] is the common ratio between consecutive terms, then

[tex]a=a[/tex]

[tex]b = ar[/tex]

[tex]c=ar^2[/tex]

Since [tex]a,b,c[/tex] are also in arithmetic progression, if [tex]d[/tex] is the common difference between consecutive terms, then

[tex]a = a[/tex]

[tex]b = a + d \implies d = b-a[/tex]

[tex]c = b + d = a + 2d \implies c = a + 2(b-a) = 2b-a[/tex]

Given that [tex]abc=27[/tex], we have

[tex]abc = a\cdot ar\cdot ar^2 = (ar)^3 = 27 \implies ar = 3 \implies a = \dfrac3r[/tex]

[tex]b = \dfrac3r \cdot r = 3[/tex]

[tex]c = \dfrac3r \cdot r^2 = 3r[/tex]

It follows that

[tex]c = 2b-a \iff 3r = 6 - \dfrac3r[/tex]

Solve for [tex]r[/tex].

[tex]3r - 6 + \dfrac3r = 0[/tex]

[tex]3r^2 - 6r + 3 = 0[/tex]

[tex]r^2 - 2r + 1 = 0[/tex]

[tex](r-1)^2 = 0[/tex]

[tex]\implies r=1 \implies a=b=c=3[/tex]

so the only possible sequence is {3, 3, 3, …}.

Solve the equation

7/4x-2=-5x+1

Answers

[tex]\large{\mathcal{ANSWER}}[/tex]Problem:

[tex]\frac{7}{4}[/tex] [tex]x\:-\:2\:=\:-5x\:+\:1[/tex]

Solution:

[tex]\frac{7}{4}[/tex] [tex]x\:-\:2\:=\:-5x\:+\:1[/tex]

[tex]7x\: - \:8 \:=\: -20x\: + \:4 [/tex]

[tex]7x \:- \:8 \:+ \:20x \:= \:4[/tex]

[tex]7x\: + \:20x \:= \:4 \:+ \:8 [/tex]

[tex]27x\: = \:4\: + \:8[/tex]

Answer:

[tex]x\:= [/tex] [tex]\frac{4}{9}[/tex]

#CarryOnLearning

Answer:

x = 4/9

Step-by-step explanation:

Solve for x

7/4 x -2  = -5x +1

Add 5x to each side

7/4 x -2+5x  = -5x +1+5x

7/4 x  + 5x -2  = 1

Get a common denominator for the x terms

7/4x  +20/4x -2 = 1

Add 2 to each side

27/4 x -2+2 = 1+2

27/4 x = 3

Multiply each side by 4

27/4 x *4 = 3*4

27x = 12

Divide each side by 27

27x/27 = 12/27

x = 12/27

Simplify

x = 4/9

What is the General form of the zero of a first degree polynomial? Explained answered please​

Answers

Answer:

for normalian is a function of the form FX is equal to a and x n + a n - 1 x n - 1 + ax2 into X + A1 is equal to A2 is degree per normal highest power of X is

In the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be StartFraction pi Over 4 EndFraction times the volume of the pyramid that it fits inside. A cone is inside of a pyramid with a square base. The cone has a height of h and a radius r. The pyramid has a base edge length of 2 r. Which statement best describes where the StartFraction pi Over 4 EndFraction comes from in the formula derivation? It is the ratio of the area of the square to the area of the circle from a cross section. It is the ratio of the area of the circle to the area of the square from a cross section. It is the difference of the area of the square and the area of the circle from a cross section. It is the sum of the area of the square and the area of the circle from a cross section.

Answers

In the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be D. the the sum of the area of the square and the area of the circle from a cross section.

How to illustrate the information?

It should be noted that a volume simply means the amount of three dimensional space that's enclosed by a closed surface.

It is typically meaured on cubic units.

In this case, in the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be the the sum of the area of the square and the area of the circle from a cross section.

In conclusion, the correct option is D.

Learn more about cone on:

brainly.com/question/28184308

#SPJ1

Answer:

B. It is the ratio of the area of the circle to the area of the square from a cross section.

Step-by-step explanation:

pls help me!!! #18-19

Answers

Answer:

18. Sqrt40 goes between 6 and 7.

19. Sqrt83 ~= 9

Step-by-step explanation:

For both of these problems, it's really useful to be very familiar with the perfect squares on the times table. 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225...



On #18, we're looking at the sqrt40. This will be between sqrt36 and sqrt49, because 40 is between 36 and 49. But sqrt36 is 6 and sqrt49 is 7. So sqrt40 is between 6 and 7.

For #19, the sqrt83 is far closer to sqrt81 than it is to sqrt100. Sqrt81 = 9. So sqrt83 is very close to 9, it would round to 9 and not 10.

simplify
a(cube)-1000b(cube)
64a(cube)-125b(cube)

Answers

The simplification of a³ - 1000b³ and 64a³ - 125b³ is (a - 10b) × (a² + 10ab + 100b²) and 4a - 5b) • (16a² + 20ab + 25b²) respectively.

Simplification

Question 1: a³ - 1000b³

a³ - b³

= (a-b) × (a² +ab +b²)

1000 is the cube of 10 a³ is the cube of a¹b³ is the cube of b¹

So,

(a - 10b) × (a² + 10ab + 100b²)

Question 2: 64a³ - 125b³

a³ - b³

= (a-b) × (a² +ab +b²)

64 is the cube of 4 125 is the cube of 5 a³ is the cube of a¹b³ is the cube of b¹

So,

(4a - 5b) • (16a² + 20ab + 25b²)

Learn more about simplification:

https://brainly.com/question/723406

#SPJ1

14. A photograph measures eight inches wide and ten inches long. The picture is enlarged to fit on a wall. If the new larger picture is 208 inches wide, how long is it?​

Answers

Answer:

The file contains the solution to the question

The data to the right represent the cost of living for 20 states. The cost of living is a measure of the average price paid for​ housing, utilities,​ groceries, healthcare,​ transportation, and miscellaneous expenses. The national average cost of living is 100. The data can be used to compare a state to the national average and to other states.

Answers

The frequency distribution based on the information given is illustrated below.

What is the frequency distribution of table?

A frequency distribution table is the

chart that summarizes all the data under two columns - variables/categories, and their frequency.

It should be noted that the distribution table has two or three columns and the first column lists all the outcomes as individual values or in the form of class intervals, depending upon the size of the data set.

Given the above information the frequency distribution table is:

Cost of living Number of states

85.0 - 94.9 9

95.0 - 104.9 5

105.0 - 114.9 0

115.0 - 124.9 2

125.0 - 134.9 2

135.0 - 144.9 1

145.0 - 154.9 1

Learn more about frequency distribution on:

https://brainly.com/question/1094036

#SPJ1

Throughout this course, you have examined how real-world scenarios can be modelled using quadratic functions, exponential functions, trigonometric ratios sinusoidal functions, and sequences and series. Part A:- In this task, you will be creating unique real-world problems that can be modelled using the functions that we have learned. You may use real-world scenarios that we have examined throughout the course, but your problem should be created by you and have a unique description. Choose three (3) of the five (5) topics below and create a real-world scenario related to each of the three. 1. Exploring Quadratic Functions to Find Zeros or the Vertex; 2. Exponential Growth or Decay; 3. Using Trigonometric Ratios to Solve Three Dimensional Problems; 4. Representing Periodic Behaviour with Sinusoidal Functions: 5. Solving Financial Problems using Sequences & Series.

PLEASE SOLVE WITHOUT USING RADINAS

Answers

The exponential function is illustrated below.

How to illustrate the example?

An exponential function has a growth factor or 3.76. What is the percentage growth rate?

The growth factor (b) is given as:

b = 3.76

So, the percentage growth rate (r) is calculated as:

r = b - 1

Substitute known values

r = 3.76 - 1

Evaluate the difference

r = 276%

The way to solve Financial Problems using Sequences & Series will be:

The first salary that Mr James earn is 10000 and there is a yearly increase of 2000. Find his salary in the 5th year. This will be:

= a + (n - 1)d

= 1000 + (5 - 1)2000

= 10000 + (4 × 2000)

= 10000 + 8000.

= 18000

Learn more about exponential growth on:

https://brainly.com/question/4172151

#SPJ1

An isosceles trapezoid has a perimeter of 108 metres. Its shorter base measures 11.5 metres and its longer base measures 28.1 metres. The two remaining sides have the same length; what is that length?

Answers

The length of one of the remaining sides is 34.20 meters.

What is the length?

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Perimeter of an isosceles trapezoid =  sum of lengths of sides of a trapezoid

length of shorter base + length of longer base + (2 x legs)

108 = 11.5 + 28.1 + (2 x legs)

108 = 39.60 + (2 x legs)

108 - 39.60 =  (2 x legs)

68.40 =  (2 x legs)

leg = 68.40 / 2

= 34.20 meters

To learn more about trapezoids, please check: https://brainly.com/question/25748893

#SPJ1

Round 229.371to the nearest one tenth and hundredths

Answers

Answer:

229.37, 229.4

Step-by-step explanation:

1. Hundredths
2. Tenths

229.37 and 229.4
explanation:

Using a number line, find both the intersection and the union of the following
intervals:
(-∞, 6) and (-∞, 9)

Answers

The intersection of the two intervals in the number line will be = 4, 5,  6,.......+∞ = (-∞,6).

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞ = (-∞),9)

How to illustrate the information?

The given intervals are;

First interval  = (-∞, 6)

Second interval  = (-∞, 9)

Using the number line, we therefore, the first interval includes, -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞

The second interval includes, 4, 5,.....,+∞

Which gives the intersection as 4, 5, 6,7, 8,9......+∞

The union is the interval that combines the two sets of intervals which is given as follows;

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞

Learn more about number line on:

https://brainly.com/question/24644930

#SPJ1

See a picture, please

Answers

Due to length restrictions, we kindly invite to check the explanation herein for further details of the hyperbola.

How to analyze an hyperbola

Herein we have an hyperbola whose axis of symmetry is parallel to the y-axis and the major semiaxis length is in the y-direction. By analytical geometry, we know that eccentricities of hyperbolae are greater than 1.

a) The formula for eccentricity is:

e = √(a² + b²) / a      (1)

Where:

a - Major semiaxis lengthb - Minor semiaxis length

If we know that a = 4 and b = 3, then the eccentricity of the hyperbola is:

e = √(4² + 3²) / 4

e = 5 / 4

b) The coordinates of the two vertices of the hyperbola are:

V(x, y) = (h, k ± a)      (2)

Where (h, k) are the coordinates of the center of the hyperbola.

V₁ (x, y) = (0, 4), V₂ (x, y) = (0, - 4)

The coordinates of the foci of the hyperbola are:

F(x, y) = (h, k ± c), where c = √(a² + b²).     (3)

c = √(4² + 3²)

c = 5

F₁ (x, y) = (0, 5), F₂ (x, y) = (0, - 5)

The equations of the asymptotes of the hyperbola are:

y = ± (a / b) · x

y = ± (4 / 3) · x      (4)

And the equations of the directrices of the hyperbola are:

y = k ± (2 · a - c)

y = 0 ± (8 - 5)

y = ± 3     (5)

The graph is presented in the image attached below.

c) The parametric equations for the hyperbola are the following formulae:

y = ± a · cosh t   →   y = ± 4 · cosh t      (6)

x = b · sinh t   →   x = 3 · sinh t     (7)

d) First, we determine the slopes of the two tangent lines by implicit differentiation:

m = (16 · x) / (9 · y)

m = (16 · 2.3) / [9 · (± 4.807)]

m = ± 0.851

Second, we find the intercept of each tangent line:

(x, y) = (2, 4.807)

b = 4.807 - 0.851 · 2

b = 3.105

y = 0.851 · x + 3.105      (8)

(x, y) = (2, - 4.807)

b = - 4.807 - (- 0.851) · 2

b = - 3.105

y = - 0.851 · x - 3.105      (9)

e) The definite integral of the arc length of the hyperbola is presented below:

[tex]s = \int\limits^{2}_{1} {\sqrt{\left(\frac{dx}{dt} \right)^{2}+\left(\frac{dy}{dt} \right)^{2}}} \, dt[/tex]

If we know that dx / dt = a² · sinh² t and dy / dt = b² · cosh² t, then the definite integral for the arc length is:

[tex]s = \int\limits^2_1 {\sqrt{a^{2}\cdot \sinh ^{2}t +b^{2}\cdot \cosh^{2}t}} \, dt[/tex]      (10)

f) We apply the following substitutions on (1): x = r · cos θ, y = r · sin θ. Then, we have the polar form by algebraic handling:

r(θ) = (a · b) / (b² · sin² θ - a² · cos² θ)     (11)

To learn more on hyperbolae: https://brainly.com/question/12919612

#SPJ1

Ke'o went shopping and spent $114 on clothes
and bought 5 pocket squares for the same price and one pairs
of $14 shorts. Write an equation for this story
problem, then solve for the price of the shirts.
Select two answers.

A. equation: 5[x+(1)(14)] = 114

B. price of each pocket square: $28

C. price of each pocket square: $25

D.equation: [(1)(14) - 5] = 114

E. price of each pocket square: $20

F. price of each pocket square: $19

G. equation: [5+ (1)(14)] = 114

H. equation: 5x+(1)(14) = 114

Answers

Equation H and answer E are correct

5x + 14 = 114
5x = 100
x = 20

1) The following scatterplot shows the percentage of the vote a candidate received in the 2016 senatorial elections

according to the voter's income level based on an exit poll of voters conducted by a news agency. The income

levels 1-8 correspond to the following income classes:

1 = Under $15,000; 2 = $15-30,000; 3 = $30-50,000; 4 = $50-75,000; 5 = $75-100,000;

6 = $100-150,000; 7 = $150-200,000; 8 = $200,000 or more.

Use the election scatterplot to determine whether there is a correlation between percentage of vote and income

level at the 0.01 significance level with a null hypothesis of ρs = 0.

A) The test statistic is between the critical values, so we fail to reject the null hypothesis. There is no

evidence to support a claim of correlation between percentage of vote and income level.

B) The test statistic is not between the critical values, so we fail to reject the null hypothesis. There is no

evidence to support a claim of correlation between percentage of vote and income level.

C) The test statistic is between the critical values, so we reject the null hypothesis. There is sufficient

evidence to support a claim of correlation between percentage of vote and income level.

D) The test statistic is not between the critical values, so we reject the null hypothesis. There is sufficient

evidence to support a claim of correlation between percentage of vote and income level

Answers

Option C is correct. The test statistic is not between the critical values, so we reject the null hypothesis. There is sufficient evidence to support a claim of correlation between percentage of vote and income level.

How to find the correlation

The scatter plot is the plot that is used to show the correlation that is known to exist between the given data sets that is of interests. It helps by showing the existing relationship between the x values and the y values in the question.

When we look at the graph properly, if we are to rule a line we would find out that most of the data points in the equation fall under the line in the data set. This shows that there is high correlation between these two variables.

Read more on scatter plot here: https://brainly.com/question/6592115

#SPJ1

The figure below is a scale drawing of an office courtyard using the scale 1 centimeter = 4 feet.



Which figure is a scale drawing of the same courtyard using the scale 1 centimeter = 3 feet?

Answers

Using proportions, it is found that option A gives a figure that is a scale drawing of the same courtyard using the scale 1 centimeter = 3 feet.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Researching this problem on the internet, the figure with a scale of 1 cm = 4 feet has the dimensions of:

51 cm, 75 cm, 30 cm and 72cm.

For a scale of 1 centimeter = 3 feet, these measures will be multiplied by 4/3, hence the figure is given in option A, as:

51 x 4/3 = 68 cm.75 x 4/3 = 100 cm.30 x 4/3 = 40 cm.72 x 4/3 = 96 cm.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

A board, 74 cm long is cut into three pieces such as the second board is twice as long as first board and the third is 4 cm longer than second. Find length of shorter piece

Answers

Answer:

The shortest piece is the first piece and it is 14 cm long.

Step-by-step explanation:

We have three unknowns so we need 3 equations.

Let x = the length of the first piece

Let y = the length of the second piece

Let z = the length of the third piece.

x + y + z = 74            y = 2x          z = y + 4

There are a number of ways to solve this.  I am going to plug in 2x for y into the first and the third equation to get:

x + y + z = 74

x + 2x + z = 74 Combine the x terms

3x + z = 74

Next, I am going to substitute 2x in for y in the third equation above.

z = y + 4

z = 2x + 4  I am going to put both variable on the left side of the equation

z - 2x = 4

I can know take the two bold equations that I have above and solve for the either x or z.  I am going to solve for z.  I need one of the equation to have a z and the other equation to have -z so that they will cancel one another out.  I am going to multiple z - 2x = 4 all the way through by -1 to get:

z - 2x = 4

-1(z - 2x) = 4(-1)

-z +2x = -4  

I am going to rearrange 3x + z = 74 so that the z term is first and add it to -z + 2x = -4

z + 3x = 74

-z + 2x = -4

      5x = 70 divide both sides by 5

x = 14  This is the length of the first piece.

y = 2x

y = 2(14) = 28

y = 28 This is the length of the second piece.

z = y+4

z = 28 + 4 = 32

or

x + y + z = 74

14 + 28 + z = 74

42 + z = 74  Subtract 42 from both sides.

z = 32

Solve using the distributive property -5(-3u-3x+4)

Answers

Answer:

15u+15x-20

Step-by-step explanation:

* = multiply or times

We have to multiply everything in the parenthesis by -5, meaning:

-5*-3u = 15u

-5*-3x = 15x

-5*4 = -20

Put it all together: 15u+15x-20

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textbf{What is the distributive formula?}[/tex]

[tex]\mathsf{a(b + c)}\\\\\mathsf{= a(b) + a(c)}\\\\\mathsf{= ab + ac}[/tex]

[tex]\large\textbf{Extended distributive property formula:}[/tex]

[tex]\mathsf{a(b + c + d)}\\\\\mathsf{= a(b) + a(c) + a(d)}\\\\\mathsf{= ab + ac + ad}[/tex]

[tex]\huge\textbf{What are we solving for?}[/tex]

[tex]\large\textbf{It seems like you have the extended distributive property}[/tex]

[tex]\mathsf{-5(-3u - 3x + 4)}[/tex]

[tex]\huge\textbf{What are the steps to solving for the}\\\\\huge\textbf{given equation?}[/tex]

[tex]\mathsf{-5(-3u - 3x + 4)}\\\\\mathsf{= -5(-3u) - 5(-3x) - 5(4)}\\\\\mathsf{= 15u + 15x - 20}[/tex]

[tex]\huge\textbf{What is the answer to the equation?}[/tex]

[tex]\huge\boxed{\frak{{= 15\mathsf{u} + 15\mathsf{x} - 20}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

95 m
b =
b
57 m
What is the length of the missing leg? If necessary, round to the nearest tenth.
meters

Answers

If the length of hypotenuse is 95 m ,perpendicular is 57 m then the length of missing leg is 76m.

Given that the length of hypotenuse is 95 m ,the length of perpendicular is 57 m.

We are required to find the length of base or missing leg.

The given triangle is a right angled triangle. We can easily find out the length of the base of the triangle by using pythagoras theorem.

Pythagoras theorem says that the square of hypotenuse of a right angled triangle is equal to the sum of squares of the base and perpendicular of that triangle.

[tex]H^{2} =P^{2} +B^{2}[/tex]

We have to find the base of the triangle.

B=[tex]\sqrt{H^{2} -P^{2} }[/tex]

=[tex]\sqrt{(95)^{2} -(57)^{2} }[/tex]

=[tex]\sqrt{9025-3249}[/tex]

=[tex]\sqrt{5776}[/tex]

=76 m.

Hence if the length of hypotenuse is 95 m ,perpendicular is 57 m then the length of missing leg is 76m.

Learn more about pythagoras theorem at https://brainly.com/question/343682

#SPJ1

A store is having a 20% off sale. The sale price of an item with price p is p - 0.2p. What is an equivalent expression.

Answers

Answer:

An equivalent expression would be the sale price of an item with price p is 0.8p

s(sale price) = 0.8p

Using a numberline, find both the intersection and the union of the following intervals:
(-∞,6) and (-∞,9)

Answers

By critically observing the number lines, the intersection of both (-∞, 6) and (-∞, 9) is (6, 9) because this is the point where they overlap. Also, the union of both (-∞, 6) and (-∞, 9) on a number line is (-∞, 9).

What is a number line?

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.

Given the following intervals:

First interval = (-∞, 6).Second interval = (-∞, 9).

On a number line, the first interval would comprise the following numerical values -∞,..........-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6.

On a number line, the second interval would comprise the following numerical values -∞,..........-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

By critically observing the number lines, we can logically deduce that intersection of both (-∞, 6) and (-∞, 9) is (6, 9) because this is the point where they overlap.

Also, the union of both (-∞, 6) and (-∞, 9) on a number line is (-∞, 9).

Read more on number line here: https://brainly.com/question/17095121

#SPJ1

Other Questions
help help help help me please why factors of production are important in promoting south Africa's economic growth and development How to do 8+(-3)+(-2) three diffrent ways on a number line? When societies are using all available resources and technology most efficiently they are? Hr-to-employee ratio is classified as a(n) __________ metric of human resources. How do you fix this?from random import randintclass Character: def __init__(self): self.name = "" self.health = 1 self.health_max = 1 def do_damage(self, enemy): damage = min( max(randint(0, self.health) - randint(0, enemy.health), 0), enemy.health) enemy.health = enemy.health - damage if damage == 0: print("%s evades %s's attack." % (enemy.name, self.name)) else: print("%s hurts %s!" % (self.name, enemy.name)) return enemy.health randint(1, self.enemy.health): print("%s flees from %s." % (self.name, self.enemy.name)) self.enemy = None self.state = 'normal' else: print("%s couldn't escape from %s!" % (self.name, self.enemy.name)) self.enemy_attacks() def attack(self): if self.state != 'fight': print("%s swats the air, without notable results." % self.name) self.tired() else: if self.do_damage(self.enemy): print("%s executes %s!" % (self.name, self.enemy.name)) self.enemy = None self.state = 'normal' if randint(0, self.health) < 10: self.health = self.health + 1 self.health_max = self.health_max + 1 print("%s feels stronger!" % self.name) else: self.enemy_attacks() def enemy_attacks(self): if self.enemy.do_damage(self): print("%s was slaughtered by %s!!!\nR.I.P." % (self.name, self.enemy.name)) def fall(self): print( "%s fell down a pit and dies.\nR.I.P." % self.name) self.health = 0Commands = { 'quit': Player.quit, 'help': Player.help, 'status': Player.status, 'rest': Player.rest, 'explore': Player.explore, 'flee': Player.flee, 'attack': Player.attack,}p = Player()p.name = input("What is your character's name? ")print("(type help to get a list of actions)\n")print("%s enters a dark cave, searching for adventure." % p.name)while(p.health > 0): line = input("> ") args = line.split() if len(args) > 0: commandFound = False for c in Commands.keys(): if args[0] == c[:len(args[0])]: Commands[c](p) commandFound = True break if not commandFound: print("%s doesn't understand the suggestion." % p.name) You inherit one million dollars. You invest it all in three accounts for one year. The first account pays 3% compounded annually, the second account pays 4% compounded annually, and the third account pays 2% compounded annually. After one year, you earn $34,000 in interest. If you invest four times the money into the account that pays 3% compared to 2%, how much did you invest in each account? Why was swami vivekananda ideally suited to represent hinduism at the 1893 worlds parliament of religions in chicago? Quick algebra 1 question for 10 points!Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help! What was the name given to the transformation of the european economy as a result of changes in business procedures and increasing trade? an irrational number is one that simply can not be worked into any equation. true or false Hi I need help and I am willing to give brainliestCan you help me find the percent yield of SiO2 given the equation of SiCl4 + O2 SiO2 + Cl2the starting amount for SiCl4 is 150g and O2 at 200g. the actual yield for SiO2 is 49.2 g.Thank you for any help Suppose the owners of lopes and homemax meet for a friendly game of golf one afternoon and happen to discuss a strategy to optimize growth related profit. They should both agree to? In a region where the electric field is uniform and points in the x direction, the electric potential is -2000 v at x = 8 m and is 400 v at x = 2 m. what is the magnitude of the electric field? What windows utility can be used to find out what process are launched at startup? Why doesnt the total pressure increase when more gas is added to the chamber? (hint: what would you see if the volume of the chamber was fixed?) with reference to the paragraph explain how a persian wheel is used for water supply round 00.963.785 to the nearest. hundredth 12 in.14 in.14 in.Find the area of the figure above.[?] square inches please explain how you got the answer for future questions Determine if there is a statistically significant difference between the absorption data ofblack walnut trees and maple trees