Answer:
k = 16/33
Step-by-step explanation:
Determine k so that 2/3,k and 5/8k are the three consecutive terms of an a.p
k - 2/3 = 5/8k - k
3k-2/3 = 5k-8k/8
Cross product
(3k-2)(8) = (3)(5k-8k)
24k - 16 = 15k - 24k
24k - 16 = -9k
24k + 9k = 16
33k = 16
k = 16/33
Answer:
-2 by 1
Step-by-step explanation:
idk
Answer:
-10.5
Step-by-step explanation:
Greater a negative number the smaller it is.
Answer:
Step-by-step explanation:
It is given that the regression equation

predicts an adult’s height (y) given the individual’s mother’s height (x1), his or her father’s height (x2), and whether the individual is male (x3 = 1) or female (x3 = 0).
The coefficient of x1 = 0.32 represents the increase in height of the child due to one inch increase in mother.
Similarly coefficient of x2 = 0.42 represents the increase in height of the child due to one inch increase in father.
and coefficient of x3 = 5.31 represents the increase in height of the child due to being a male than a female.
Answer:
(c) III
Step-by-step explanation:
If you simplify the equations and the left side is identical to the right side, then there are an infinite number of solutions: the equation is true for all values of x.
Another way to simplify the equation is to subtract the right side from both sides. If that simplifies to 0 = 0, then there are an infinite number of solutions.
__
<h3>I. </h3>
2x -6 -6x = 2 -4x . . . . eliminate parentheses
-4x -6 = -4x +2 . . . . no solutions (no value of x makes this true)
__
<h3>II.</h3>
x +2 = 15x +10 +2x . . . . eliminate parentheses
x +2 = 17x +10 . . . . one solution (x=-1/2)
__
<h3>III.</h3>
4 +6x = 6x +4 . . . . eliminate parentheses
6x +4 = 6x +4 . . . . infinite solutions
__
<h3>IV.</h3>
6x +24 = 2x -4 . . . . eliminate parentheses; one solution (x=-7)