Answer:
Step-by-step explanation:
Given that for a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice.
The correlation is r = 0.9
If you had measured tail length in centimeters instead of millimeters, what would be the correlation?
For this we must understand the meaning of correlation and formula
Correlation is a measure of linear association between the two variables and always lie between -1 and 1
This is got by dividing covariance of (x,y) by product of std deviation of x and y
So because we changed the units of length correlation coefficient would not change.
It would remain the same as 0.90
Sketch the points (0,5,2),(4,0,-1),(2,4,6) and(1,-1,2) o a single set of coordinate axes?
nordsb [41]
Explanation:
As points have three coordinates i.e. x, y and z hence the sketch of the given four points is drawn in 3D shape and for that picture is attached here with this answer.
Points are given in the format as below
(value of x-coordinate , value of y-coordinate , value of z-coordinate)
In the attachment:
Point A = (0,5,2) (in blue color)
Point B = (4,0,-1) (in purple color)
Point C = (2,4,6) (in orange color)
Point D = (1,-1,2) (in black color)
By algebra properties we find the following relationships between each pair of algebraic expressions:
- First equation: Case 4
- Second equation: Case 1
- Third equation: Case 2
- Fourth equation: Case 5
- Fifth equation: Case 3
<h3>How to determine pairs of equivalent equations</h3>
In this we must determine the equivalent algebraic expression related to given expressions, this can be done by applying algebra properties on equations from the second column until equivalent expression is found. Now we proceed to find for each case:
First equation
(7 - 2 · x) + (3 · x - 11)
(7 - 11) + (- 2 · x + 3 · x)
- 4 + (- 2 + 3) · x
- 4 + (1) · x
- 4 + (5 - 4) · x
- 4 - 4 · x + 5 · x
- 4 · (x + 1) + 5 · x → Case 4
Second equation
- 7 + 6 · x - 4 · x + 3
(6 · x - 4 · x) + (- 7 + 3)
(6 - 4) · x - 4
2 · x - 4
2 · (x - 2) → Case 1
Third equation
9 · x - 2 · (3 · x - 3)
9 · x - 6 · x + 6
3 · x + 6
(2 + 1) · x + (14 - 8)
[1 - (- 2)] · x + (14 - 8)
(x + 14) - (8 - 2 · x) → Case 2
Fourth equation
- 3 · x + 6 + 4 · x
x + 6
(5 - 4) · x + (7 - 1)
(7 + 5 · x) + (- 4 · x - 1) → Case 5
Fifth equation
- 2 · x + 9 + 5 · x + 6
3 · x + 15
3 · (x + 5) → Case 3
To learn more on algebraic equations: brainly.com/question/24875240
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we know that
1 yard=3 feet
Multiply (89 yards 2 feet) by 14
(89 yards 2 feet)*14=89*14 yards 2*14 feet-------> 1,246 yards 28 feet
convert 28 feet to yards
28 ft=(28/3) yards=9.33 yards
9.33 yards=9 yards+0.33 yards
0.33 yards=1 foot
so
9.33 yards=9 yards+1 foot
substitute
1,246 yards 28 feet=1,246 yards +9 yards+1 foot----->1,255 yards + 1 foot
therefore
<u>the answer is the option</u>
C. 1,255 yards 1 foot
Answer:
-7
Step-by-step explanation:
-13-(-6)
-13+6
-7
