Numbers with 3 divider are squares of primes<span>.</span>
<span>2^2 = 4. Div: 1, 2, 4;</span>
<span>3^3 = 9. Div: 1, 3, 9;</span>
<span>4^4 = 16. Div: 1, 4, 16;</span>
<span>5^5 = 25. Div: 1, 5, 25;</span>
<span>e.t.c.</span>
Answer:
a) May be used to predict a value of y if the corresponding x value is given
Step-by-step explanation:
In regression analysis, the vertical distance from the regression line to the data points can be minimized using the least square regression line.
Given the example of a least square regression equation:
y = ax + b
Where
a = slope
b = Y-intercept
If the value of x is known, the value of y may be predicted.
Option A is correct.
A least squares regression line may be used to predict a value of y if the corresponding x value is given
<span>For given hyperbola:
center: (0,0)
a=7 (distance from center to vertices)
a^2=49
c=9 (distance from center to vertices)
c^2=81
c^2=a^2+b^2
b^2=c^2-a^2=81-49=32
Equation of given hyperbola:
..
2: vertices (0,+/-3) foci (0,+/-6)
hyperbola has a vertical transverse axis
Its standard form of equation: , (h,k)=(x,y) coordinates of center
For given hyperbola:
center: (0,0)
a=3 (distance from center to vertices)
a^2=9
c=6 (distance from center to vertices)
c^2=36 a^2+b^2
b^2=c^2-a^2=36-9=25
Equation of given hyperbola:
</span>
Answer:
y=4 when x=6
Step-by-step explanation:
If one square is divided into 9 smaller equal squares, then they have to be arranged in 3 lines of 3, that is 3 smaller equal squares per side of the original big square. That said, the area of the big square is equal to the multiplication of 3 small squares sides times 3 small squares sides, call x the length of the small squares.
So,
area = 9 = 3x*3x
9x^2 = 9
x^2 = 1
x = 1
therefore the smaller squares have sides of 1 unit