Answer:
The answer to your question is:
Step-by-step explanation:
x² + 3x - 5
x² + 3x + (3/2)² = 5 + (3/2)²
(x + 3/2)² = 5 + 9/4
(x + 3/2)² = (20 + 9) /4
(x + 3/2)² = 29/4
x + 3/2 = ±√29 / 2
x 1 = -3/2 + √29/2 x2 = -3/2 - √29/2
x1 = 1.19 x2 = -4.19
Answer:
The equation for regression line and predicting a husband's height for married couples in their early 20s
Equation: Y'=33.67+0.54*X'
Step-by-step explanation:
r=0.5
x'=64.5
Sx=2.5
y'=68.5
Sy=2.7
General regression line equation is:
Y'=a+b*X'
so the slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x'

The intercept with axis y is the mean of the decreased by the product of the slope and the mean of x

The equation regression line then is:
Y'=33.67+0.54*X'
Answer:
-5 < x < 5
Step-by-step explanation:
|x| < 5
This can be split into two cases: x < 5 and -x < 5 because |x| could be either x or -x depending on whether x is positive, negative, or 0. Solving the second one we get x > -5 so the answer is -5 < x < 5.
Answer:
3.14
Step-by-step explanation:
Answer:
The possible coordinates of point A are
and
, respectively.
Step-by-step explanation:
From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:
(1)
Where:
- Length of the line segment AB.
- x-coordinates of points A and B.
- y-coordinates of points A and B.
If we know that
,
,
and
, then the possible coordinates of point A is:




There are two possible solutions:
1) 

2) 

The possible coordinates of point A are
and
, respectively.