Answer:
19 in = 48.26 cm
Step-by-step explanation:
Devide 19 by 2.54 you get 48.26 cm
Answer:
51% of the variation in Y is not explained by the regression line.
Step-by-step explanation:
To find the amount of variation not explained by the regression equation (how you found the correlation coefficient), we need to find <em>R. </em>We already have r ...
So to find R from r ( the correlation coefficient ) we just square it.
r² = .7² = .49
Then we just subtract that number from 1 to get the amount of <em>variation that is </em>not explained - which is ... .49 - 1 = .51 (convert to percent) = 51%
An object that is in motion as a projectile follows a path or trajectory of a parabola
The function and values are;
- a) The equation of the quadratic function is;

- b) The maximum height of the ball is approximately <u>7.334 m</u>
- c) Horizontal distance at maximum height <u>18.8 meters</u>
<u />
Reason:
a) Known parameters are;
Let f(x) = a·x² + b·x + c represent the equation of the parabola modelling the path of the ball, we have;
Points on the path of the parabola = (0, 0), (35, 1.5), 37, 0)
Plugging the values gives;
0 = a·0² + b·0 + c
Therefore, c = 0
1.5 = 35²·a + 35·b
0 = 37²·a + 37·b
Solving gives;
a = -3/140, b = 111/140
The equation of the quadratic function is therefore;
b) The maximum height is given by the vertex of the parabola
The x-coordinate at the vertex is the point 
Which gives;

The maximum height is therefore;

The maximum height of the ball is approximately 7.334 m
c) The distance the ball has travelled to horizontally is given by half of the range, <em>R</em> as follows;
The range of the motion, R = 37 meters

Therefore;

The distance the ball has travelled horizontally to reach the maximum height horizontally <u>18.5 meters</u>
Learn more about the trajectory of a projectile here:
brainly.com/question/13646224
Answer:
The rule of the translation is (x,y) ----> (x+3,y-6)
The coordinates of the duck’s final position are (4,-3)
Step-by-step explanation:
we know that
A duck is going to fly from the coordinates (1, 3) then go 3 units right. And 6 units down
That means -----> The rule of the translation is
3 units right ----> x+3
6 units down ---> y-6
so
(x,y) ----> (x+3,y-6)
To find out the the coordinates of the duck’s final position, apply the rule of the translation to the duck’s original position
so
(1,3) ------> (1+3,3-6)
(1,3) ------> (4,-3)
Answer:
51869 ft
Step-by-step explanation:
If he climbed both mountains, then we add the heights together
22834 + 29035
51869 ft