A statistics class with 40 students consists of 30 students with no income, 10 students with small incomes from part-time jobs, and a professor with a very large income that is well deserved. Which is better for describing the income of a typical person in this class: mean or median? Explain.

Given:

Line P Q has points (-5, 3) and (5, 1).

Line R S has points (-4, -2) and (0, -4).

To find:

The relationship between lines PQ and RS.

Solution:

If a line passing through two points, then the slope of line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Line P Q has points (-5, 3) and (5, 1). So, slope of line PQ is

[tex]m_1=\dfrac{1-3}{5-(-5)}[/tex]

[tex]m_1=\dfrac{-2}{5+5}[/tex]

[tex]m_1=\dfrac{-2}{10}[/tex]

[tex]m_1=\dfrac{-1}{5}[/tex]

Line R S has points (-4, -2) and (0, -4). So, slope of line RS is

[tex]m_2=\dfrac{-4-(-2)}{0-(-4)}[/tex]

[tex]m_2=\dfrac{-4+2}{0+4}[/tex]

[tex]m_2=\dfrac{-2}{4}[/tex]

[tex]m_2=\dfrac{-1}{2}[/tex]

Slopes of two parallel lines are equal.

[tex]m_1\neq m_2[/tex]

They are not parallel because their slopes are not equal.

Therefore, the correct option is C.

Answer:

the correct answer is c

Step-by-step explanation:

Edu2020

Answer:

1:8

33:8

1:1

88:99

6:7

235:9

Answer:

12

Step-by-step explanation:

4x3=12

Answer:

a) 10.5cm

b) 1520cm³ (3 s.f.)

c) 1270cm² (3 s.f.)

Step-by-step explanation:

Please see the attached picture for full solution.

Answer:

[tex]x<-8[/tex]

Step-by-step explanation:

So we have the inequality:

[tex]3x-1>4x+7[/tex]

Add 1 to both sides. The left side cancels:

[tex]3x>4x+8[/tex]

Subtract 4x from both sides. The right side cancels:

[tex]-x>8[/tex]

Divide both sides by -1. Since we're dividing by a negative, we flip the sign:

[tex]x<-8[/tex]

And we're done!

Our solution is all numbers less than -8.

Answer:

x = -8

Step-by-step explanation:

I will be the brainliest, its hard to explain on a document, i could make you avideo how to do these problems, im a math teacher.

5

Step-by-step explanation:

-2 - (-7)

you have to do the opposite of the sign and switch the last number from negative to positive.

Answer:

33.634 ; 134.536 ; d = √[(50t)² + (45t)²]

Step-by-step explanation:

Given the following :

Toyota Prius = East at 50mph

Dodge Circuit = South at 45mph

Distance apart after 30 minutes :

Distance = speed * time

Distance moved by Prius = ( 50mph × 0.5hr) = 25 miles

Distance moved by Circuit = ( 45mph × 0.5hr) = 22.5 miles

Hence Displacement after 30 minutes :

d = √(25² + 22.5²)

d = √625 + 506.25

d = √1131.25

d = 33.634 miles

Distance apart after 2 hours :

Distance = speed * time

Distance moved by Prius = ( 50mph × 2hr) = 100 miles

Distance moved by Circuit = ( 45mph × 2hr) = 90 miles

Hence Displacement after 2 hours :

d = √(100² + 90²)

d = √10000 + 8100

d = √18100

d = 134.536 miles

Distance d in miles after t hours :

d = √[(50t)² + (45t)²]

Exact Form: t = 8/5

Decimal Form: t = 1.6

Mixed Number Form: t = 1 3/5 (one and three fifths)

Answer:

t = 8/5 or t = 1.6

This will be a fraction buh can be turned into a decimal

Step-by-step explanation:

subtract 1 on both sides 5t + 1 - 1 = 9 - 1

then simplify 5t = 8 after det divide both side 5t/5 = 8/5 and den your answer is t = 8/5...

HOPE DIS HELPS YU OR IS RIGHT!!!!!

Answer:

$7666.7

Step-by-step explanation:

1800 + 500 = 2300. That means that 30% = 2300. If u divide both sides by 3 then 10% = 766.67 times that by ten and then that will equal $7666.7

Answer:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Step-by-step explanation:

Answer:

line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Step-by-step explanation:

Answer:

There are following two methods.

1-By using pre programmed calculator

2-By using formoula

Step-by-step explanation:

1-The first method i suggest for the calculation of area is by using the pre programmed calculator.

Enter the vertex clockwise or anticlockwise into the calculator.

this method is very fast but there is a draw back of this method it is unable to calculate the area of self intersecting polygons. This method is most efficient for the simple polygons and we calculate area very fast.

2-To overcome the draw back of above given method i suggest the method calculate the area by using formoula

First number the vertex in clockwise or anticlckwise direction.

Than use the following formoula to calculate the area of polygon.

Area of polygon= [tex](x_{1}y_{2}-x_{2}y_{1})+(x_{2}y_{3}-x_{3}y_{2})+............+(x_{n}y_{1}-x_{1}y_{n})/2[/tex]

here, if area is negative we take mode of it

[tex]x_{n}[/tex] is the x coorinate of nth vertex.

[tex]y_{n}[/tex] is the Y coorinate of nth vertex.

This method is universal. By using this method we can calculate area of any type of the polygon.

The Larger complement angle is 57 degrees and Small angle is 33 degrees.

Given about the complement angles.

Complement angles means, the two angles will add up to 90 degrees.

Then angles is x+(x-24)=90

⇒2x=90+24

⇒2x=114

⇒x=57

So, the larger angle is 57 degrees.

small angle is 90-57=33 degrees.

Learn more about complementary angles in https://brainly.ph/question/3668.

#SPJ10

Answer:

$3.78

Step-by-step explanation:

$1.79+$1.99=$3.78

Answer:

$3.78

Step-by-step explanation:

true

We can conclude that 7/9 is equal to 0.777.

So, we need to solve 7/9 to know if it is greater, less, or equal to 0.777.

(Refer to the image attached below for calculation)

Therefore, we can conclude that 7/9 is equal to 0.777.

Know more about mathematical operations here:

brainly.com/question/20628271

#SPJ1

Answer: Amy will not have one dollar left over , but she will have to add an extra dollar to buy all that stuff.

Step-by-step explanation:

First find  the cost of the items she want to buy in total.

So she wants to buy 3 pound  of lemons at two dollars per pound that will cost her $6.

Seven frozen dinners for three dollars each will cost her  $21.

The box of rice will cost her  $4.

Add the total cost together.

21 + 4 + 6 = 31  

This means she will have to spend $31 in total and that is beyond her budget which is $30  dollars. This also means that Amy will not have one dollar left over but she will need to add one dollar.

Answer:

Amy won't have 1 dollar left, she will actually need 1 dollar because all of that would be 31 dollars.

Step-by-step explanation:

3 pounds of lemons= $6

1 box of rice= $4

7 frozen diners= $21

6+4=10

10+21=31

Answer:

they are 17 miles away from their campsite.

Step-by-step explanation:

we get the answer by adding the miles traveled north to the miles traveled west, and we get the total number of miles they traveled away from their campsite.

5 + 12 = 17

Answer:

Well since my shoe is 8.5 inches, you will take 4 whole shoes to make a meter. Therefore, you will have to take 4,000 shoes to make a kilometer because 1 kilometer=1000. (:

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

8.15 is a rational number

Answer:

Step-by-step explanation:

x + 3 = 41

x = 38

Answer:

Step-by-step explanation:

h(2) = (2)^2 + 3(2) + 2 = 4 + 6 + 2 = 12

12 is the answer

Answer:

For part A its called a ray.For part B it would be EA.

Step-by-step explanation:

Part A would be called a ray because B is the endpoint while C is continuous and a ray has only one endpoint.Part B is EA because E would be the endpoint while A would be continuous.  

Answer:

Triangle A

Step-by-step explanation:

Answer:

a

a

Step-by-step explanation:

a

Answer:

D. -12

Step-by-step explanation:

if f=4x-9, and g=2x-3, and the value is (f+g), then we have to add the equations. This is equal to 6x-12. And then, in '(f+g)(0)', it is asking what is the y-value at x=0. Plug in 0 into the equation, and the y-value equals -12.

Answer:

D. 8/4

Step-by-step explanation:

Actually, 8/4 is basically 8 divided by 4, which is 2. And 2 is a whole number not decimal number, so that would be your answer.

The fraction number (8/4) that is equal to the whole number is 2. Then the correct option is D.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

A. The fraction number is given as

[tex]\dfrac{3}{6}[/tex]

And it can be written as

[tex]\dfrac{1}{2}[/tex]

B. The fraction number is given as

[tex]\dfrac{7}{8}[/tex]

C. The fraction number is given as

[tex]\dfrac{10}{4}[/tex]

And it can be written as

[tex]\dfrac{5}{2}[/tex]

D. The fraction number is given as

[tex]\dfrac{8}{4}[/tex]

And it can be written as 2.

More about the fraction number link is given below.

https://brainly.com/question/78672

Answer:

poopie

Step-by-step explanation:

Answer:

1.07m

Step-by-step explanation:

the first step is to convert inches to cm

1in =2.54cm

(42.4in/1in x2.54cm)

42.4in = 107.69cm

then convert cm to m

1cm =0.01m

(107.69cm/1cm x 0.01m)

107.69cm =1.0769m

~1.07m