Answer:
Step-by-step explanation:
7 choose 2 or
=7! / (7-2)!
=7*6*5*4*3*2*1 / 5*4*3*2*1
=7*6
=42
30 is more than 5 not exactlt know what ur looking for here?
If the original experiment trial was 100 draws the
A. True - Experimental probability of drawing a club is 32%
B. True - Theoretical probability of drawing a diamond is 25%
C. True - Experimental probability of drawing a spade 90 times out of 500 trials
Answer:
(
, 8 )
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 )
y = 10x - 2 ← is in slope- intercept form
with slope m = 10
Parallel lines have equal slopes
then the tangent to the parabola with a slope of 10 is required.
the slope of the tangent at any point on the parabola is 
differentiate each term using the power rule
(a
) = na
, then
= 6x + 2
equating this to 10 gives
6x + 2 = 10 ( subtract 2 from both sides )
6x = 8 ( divide both sides by 6 )
x =
= 
substitute this value into the equation of the parabola for corresponding y- coordinate.
y = 3(
)² + 2
= (3 ×
) + 2
=
+ 
= 
= 8
the point on the parabola with tangent parallel to y = 10x - 2 is (
, 8 )