Answer:
4.1 shirts
Step-by-step explanation:
Mean can be found by adding all data points and dividing that by the total amount of data points.
There are 12 students selling shirt, which gives you 12 data points.
So (3+4+8+5+2+5+0+5+3+4+3+7)/12 = 4.083...
Which rounds to 4.1 shirts
Answer:
(x-4)² + (y+3)² = 9
Step-by-step explanation:
The equation of a circle of radius r centered at (h, k) is ...
... (x-h)² + (y-k)² = r²
Subsituting your given values gives ...
... (x -4)² +(y -(-3))² = 3²
... (x -4)² +(y +3)² = 9
Answer:
A system has infinitely many solutions when it is consistent and the number of variables is more than the number of nonzero rows in the rref of the matrix. For example if the rref is ��has solution set (4-3z, 5+2z, z) where z can be any real number.
Answer:
114 units²
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, so
AB = CD , that is
13x - 7 = 5x + 9 ( subtract 5x from both sides )
8x - 7 = 9 ( add 7 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
Then
5x + 9 = 5(2) + 9 = 10 + 9 = 19
3x = 3(2) = 6
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height ), thus
A = 19 × 6 = 114 units²
Answer:
y = - 6x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 6, hence
y = - 6x + c ← is the partial equation
To find c substitute (- 1, 7) into the partial equation
7 = 6 + c ⇒ c = 7 - 6 = 1
y = - 6x + 1 ← equation of line
