Answer:
175/1001
Step-by-step explanation:
(a.)
Freshman: 5 Combination 2
sophomores: 7 Combination 3
Junior: 4 Combination 1
The combination of three groups :
=5c2 × 7c3 × 4c1
=10 × 35 × 4
=1400 ways
(b.)
=5+7+4=16
=2+3+1
Which is (16 combination 6)
The probability will be:
=(5c2 × 7c3 × 4c1) / 16c6
=1400/8008
=175/1001
Your answer would be 5x over 3
y = - x -
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 6, 1 ) and (x₂, y₂ ) = (2, - 5 )
m = = = -
the partial equation is
y = - x + c
to find c substitute either of the 2 given points into the partial equation
using (- 6, 1 ), then
1 = + c ⇒ c = 1 - = -
y = - x - ← equation of line
Answer:
Step-by-step explanation:
f(x) = -5x + 8(7 - x)......when f(x) = 160
160 = -5x + 8(7 - x)
160 = -5x + 56 - 8x
160 - 56 = -5x - 8x
104 = - 13x
-104/13 = x
-8 = x <====
A rectangle is a parallelogram with interior right angles.
That description applies very satisfactorily to squares.
A square is a special kind of rectangle, so all squares are rectangles.
(All squares are rhombuses, parallelograms, and quadrilaterals too.)