A botanist found a correlation between the length of an aspen leaf and its surface area to be 0.94. Why does the correlation value of 0.94 not necessarily indicate that a linear model is the most appropriate model for the relationship between length of an aspen leaf and its surface area?


A) The value must be exactly 1 or -1 to indicate a linear model is the most appropriate model.


B) The value must be 0 to indicate a linear model is the most appropriate model.


C) A causal relationship should be established first before determining the most appropriate model.


D) The value of 0.94 implies that only 88% of the data have a linear relationship.


E) Even with a correlation value of 0.94, it is possible that the relationship could still be better represented by a nonlinear model.

Answer:

y= [tex]\frac{-1}{24}[/tex]x - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

(4,-1),(6,1): two points

-1(1)/4(6): find slope

slope: [tex]\frac{-1}{24}[/tex]

write in point-slope form: y+1=[tex]\frac{-1}{24}[/tex](x-6)

y= [tex]\frac{-1}{24}[/tex]x - [tex]\frac{3}{4}[/tex]

Answer:

108

Step-by-step explanation:

60 plus 80% = 108

Answer:b

Step-by-step explanation:108 60x80

Answer:

b

Step-by-step explanation:

circumference= 2πr

37.8cm = 2πr

r= 6 cm

Area= πr^2

area = 113cm^2

Answer: The point (5,7) is on the line 5x+6y = 67

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

Explanation:

(5,7) means x = 5 and y = 7 pair up

Plug in those values to get...

5x + 6y = 67

5*5 + 6*7 = 67

25 + 42 = 67

67 = 67

We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).

Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.

Answer:

C

Step-by-step explanation:

Answer:

a) 120 words per minute

b) 130 words per minute

Step-by-step explanation:

A unit rate (also called a single-unit rate) is a type of ratio that compares 1 unit of one quantity to a different number of units of a another different quantity. When expressing in unit rate, the second quantity is in one unit.

a) Jasmine can read 120 words per minute

Jasmine reading unit rate = total number of words read / time taken

Jasmine reading unit rate = 120 words / 1 minute = 120 words per minute

b) It takes Scott one minute to read 130 words

Scott reading unit rate = total number of words read / time taken

Scott reading unit rate = 130 words / 1 minute = 130 words per minute

Answer:

what are the statements

Step-by-step explanation:

Answer:

Vertex: (4,9)

X int: (1,0),(7,0) = x=-1, x=-7

y iny: (0,-7)

Man, I have to be honest with you, I have no clue. But here is something else though. I had to take Geometry last year, and you are right. It does suck. But, you will get through it! There is a light at the end of the tunnel and you will get it! Keep up the good work!

Answer:

m<1 = 87

Step-by-step explanation:

Bro I got you! You ain't gotta hate school no more!

Right the equation like this

m<1 + m<2 = <TSV (plug in)

m<1 + 65 = 152 (subtract 65 from 152 to get m<1)

m<1 = 87

There you go!

Hope this helps ya!

Answer:

2994=x

Step-by-step explanation:

-x/3=-998

multiply 3 on both sides

-x=-2994

x=2994

Hope this helps you!

#Team Rainbows~

Answer:

52

Step-by-step explanation:

bro imma be honest with you the way i figured this out doesnt even make sense so im not even gonna try and explain ths lol

Answer:

5.) 13,841,287,201 x 2,401. 6.) 64⁴.

Step-by-step explanation:

PEMDAS requires parenthesis first, then exponents, then multiplication/division, and then addition/subtraction. For 5, lets find 7¹². According to my calculations, that is 13,841,287,201. Now for 7⁴. According to my calculations, that is 2,401. Now, we have 13,841,287,201 x 2,401. In math, an expression is a problem. If I solve it, it wouldn't be an expression, so I'll just leave it at that. For 6, we do the parenthesis first. 8² is 64. 64 to the fourth power is 16,777,216. If I solved it, it wouldn't be an expression, so we have to leave it at 64⁴. If you are wondering, 64⁴ is equal to 16,777,216. I hope this helps!

Answer:

1080 is the answer.

Step-by-step explanation:

Answer:

B is the correct chose

Step-by-step explanation:

Answer:

15mph

Step-by-step explanation:

So to figure this out you have to get the total unit rate by dividing 30 and 2 which in total gives you 15

So congratulations you can ride 15 miles per hour :)

Answer:15 mph

Step-by-step explanation:

Answer:

31. $70 / 34. 9.5, 9, or 10.

Step-by-step explanation:

31. ok here it looks like they split the cost between each other. if im correct, that means they split the thing in 5. which means Tai is paying for [tex]\frac{2}{5}[/tex] the of the camera. [tex]\frac{1}{5}[/tex] of the total cost of the camera is 35, so 35 x 2 = 70. Tai is paying $70.00

im not good with liters and things like that with ratio, sorry about that

34. ok so the long side of the rectangle is 18 cm, and this has a ratio of 5 : 3. so for every 5 cm the small side is 3 cm. so if something was 18 cm, it would make the shorter side 9.5 or if it only requires whole numbers then either 9 or 10.

i hope this helped, i did my best :)

Answer:

-6

Step-by-step explanation:

Answer:

-4 + -2 = -6

Step-by-step explanation:

So this is a rhyme that helps me remember how to add and subtract positive and negative numbers...

(To the tune of Row Row Row Your Boat)

Same sign add and keep

Different sign subtract

Keep the sign of the bigger number

Then you'll be exact

I know it sounds silly but it helped me :)

Answer: y+3

Step-by-step explanation: I'm taking the test rn

Answer:

y + 3

Step-by-step explanation:

I took the test and got it right.

Answer:

Nope

Step-by-step explanation:

It doesnt. Functions look like that

=12

X-1+2x+12*3

re-arrange

X+2x=36+1

3x=37

X=37/3

X=12.3333

approximately

X=12

F(X)

=F(12)

hope it useful

Answer:

f(2)= -1

Step-by-step explanation:

f(2)=-3(2)+5= -6+5= -1

Answer:

-1

Step-by-step explanation:

f(x)=-3x+5

f(2)= -3(2)+5

=-6+5 = -1

Answer:

15

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

cross multiply

9*10=90

90/6=15

Answer: See explanation

Step-by-step explanation:

Let the possible number of CDs that she could buy be represented by x. Then, the equation can be represented as:

80 - 18x ≤ 20

80 - 20 ≤ 18x

60 ≤ 18x

x ≤ 60/18

x ≤ 3.33

The highest amount of cd that she can is 3 or less.

40%

40 percent of 25 is 10

10/25x100 and you will get your answer which is 40

Answer:

B

Step-by-step explanation:

certain types of playing cards are cheap if you buy the right one then you'll have more money

Answer:

(0,1)

Step-by-step explanation:

The zero of a function is where the answer is zero, so x=0 there. There's one point on this graph that has a point where x=0, and that is at y=1. Hope this helped :)

Answer:

5x-y=0

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:c

Step-by-step explanation: