Which one of the following would most likely have a negative linear correlation coefficient? A. the value of a car compared to its age
B. the points scored by a basketball player compared to his minutes played
C. the height of a woman compared to her age
D. the hours of daylight in a city throughout the year

Answers

Answer 1
Answer:

The hours of daylight in a city throughout the year represent the negative linear correlation coefficient. Then the correct option is D.

What is a negative linear correlation coefficient?

Independent quantities with an inverse relationship tend to move in different directions.

In essence, any figure between 0 and -1 denotes an opposing movement of the equity stocks.

When the correlation coefficient becomes less than 0, there is a negative (opposite) correlation. This suggests that both parameters are moving in the obverse direction.

The hours of daylight in a city throughout the year represent the negative linear correlation coefficient

Then the correct option is D.

More about the negative linear correlation coefficient link is given below.

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Answer 2
Answer:

Answer:

D. the hours of daylight in a city throughout the year

Step-by-step explanation:


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Answers

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The area of a square is found by squaring one of its sides, (A = s2). A certain square has an area of z2 + 18z + 81. Factor the trinomial to find a side of the square.a. side = z + 27
b. side = z + 18
c. side = z + 9

Answers

A = s²
A =  z² + 18 z + 81
z² + 18 z + 81 = z² + 9 z + 9 z + 81 = z ( z + 9 ) + 9 ( z + 9 ) =
= ( z + 9 ) ( z + 9 ) = ( z + 9 )²
Answer:
C ) side = z + 9 

Answer:

option c is correct.

side = z+9

Step-by-step explanation:

Area of a square(A) is given by:

A = s^2

where,

s is the side of the square.

As per the statement:

A certain square has an area of  z^2 + 18z + 81.

A = z^2 + 18z + 81

Substitute in [1] we have;

z^2 + 18z + 81 = s^2

Taking square root both sides we have;

√(z^2 + 18z + 81) =s

Using identity rule:

(a+b)^2 =a^2+2ab+b^2

then;

√(z^2 + 2(1)(9)z + 9^2) =s

√((z+9)^2) =s

Simplify:

z+9 = s

or

s = z+9

Therefore,  a side of the square. is, z+9

The angle of elevation from a car to the top of an apartment building is 48 degrees. If the angle from another car that is 22 feet directly in front of the first car is 64 degrees. How tall is the building? I know it involves trig, but after an hour of thought i give up on guessing.

Answers

The required height of the building is 53.31 feet.

What is a right angle triangle?

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.

Given that,

Angle of elevation from the first car A to the top of the apartment building = 48 degrees,

Angle of elevation from the second car B to the top of the apartment building = 64 degrees.

Also, car B is 22 feet above the car A.

Let the height of the building is h feet.

And distance from the car B to the building is x feet.

Use formula of tan θ,

tan 64 = h / x    

2.050 = h/x      

x =  h / 2.050     (1)

And tan 48 = h / x + 22  
1.1106 = h / x+ 22  (2)

By solving equation (1) and (2)

1.1106 = h / (h/2.050 + 22)

1.1106 = 2.050h / h + 45.1

1.1106h + 50.08 = 2.050h

0.9394 h = 50.08

h = 53.31

The height of the building is 53.31 feet.

To know more about Triangle on :

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 To the StudentContents: Members of the PEAMathematics Department have written the materialin this book. As youwork through it, you will discover that algebra, geometry, andtrigonometry havebeen integrated into a mathematical whole. There is no Chapter 5, noris there a section ontangents to circles. The curriculum is problem-centered, rather thantopic-centered.Techniques and theorems will become apparent as you work through theproblems, and youwill need to keep appropriate notes for your records — there are noboxes containingimportant theorems. There is no index as such, but the reference sectionthat starts on page201 should help you recall the meanings of key words that are definedin the problems(where they usually appear italicized).Comments onproblem-solving: You should approacheach problem as an exploration.Reading each questioncarefully is essential, especially since definitions, highlighted initalics, areroutinely inserted into the problem texts. It is important to make accuratediagrams wheneverappropriate. Useful strategies to keep in mind are: create an easierproblem, guess andcheck, work backwards, and recall a similar problem. It is importantthat you work on eachproblem when assigned, since the questions you may have about aproblem will likelymotivate class discussion the next day.Problem-solvingrequires persistence as much as it requires ingenuity. When you get stuck,or solve a problemincorrectly, back up and start over. Keep in mind that you’re probablynot the only one whois stuck, and that may even include your teacher. If you have takenthe time to thinkabout a problem, you should bring to class a written record of yourefforts, not just ablank space in your notebook. The methods that you use to solve aproblem, thecorrections that you make in your approach, the means by which you testthe validity of yoursolutions, and your ability to communicate ideas are just as importantas getting thecorrect answer.About technology: Many of theproblems in this book require the use of technology(graphing calculatorsor computer software) in order to solve them. Moreover, you areencouraged to usetechnology to explore, and to formulate and test conjectures. Keepthe followingguidelines in mind: write before you calculate, so that you will have a clearrecord of what youhave done; store intermediate answers in your calculator for later use inyour solution; payattention to the degree of accuracy requested; refer to your calculator’smanual when needed;and be prepared to explain your method to your classmates. Also,if you are asked to“graphy= (2x−3)=(x+ 1)”, for instance,the expectation is that,although you mightuse your calculator to generate a picture of the curve, you shouldsketch that picture in your notebook oron the board, with correctly scaled axes.

the volume of a cuboid is 480cm cube,it's breadth and height are 8cm are 6cm respectively find its length​

Answers

Considering the volume of a cube is length × breath × height, we are going to have to use an equation to find the length.

V = l × b × h

480cm³ = L × 8 × 6

Make L the subject.

480 = L × 8 × 6
⁴⁸⁰/₈×₆ = L
10cm = L

Therefore length = 10cm

Which equation matches the graph of the greatest integer function given below?

Answers

where are the graphs?

Three restaurants sell turkey sandwiches in a small town: Delicious Deli, Garden Fresh, and Uptown Eatery.Delicious Deli sells 5 turkey sandwiches for $20.00.
Garden Fresh sells 2 turkey sandwiches for $8.50.
Uptown Eatery sells 3 turkey sandwiches for $13.50.
The graph shows Delicious Deli’s turkey sandwich sales, where x represents the number of turkey sandwiches sold, and y represents the total cost.

Answers

Answer:

$4 per Turkey

Step-by-step explanation:

Look on the graph and follow every number to the cost:

2 Turkeys: $8

4 Turkeys: $16

5 Turkeys: $20

Notice how there is a Pattern:

8, 16, and 20 are all multiples of 4  

4 x 2 = 8

4 x 4 = 16

4 x 5 = 20

So, the constant of proportionality for the coast per sandwich and Delicious Deli is $4