Answer:
$265
Step-by-step explanation:
$250 x 1.06 = $265
The distance covered by a free-falling object in 'T' seconds after it's dropped is
D = (1/2) x (gravity acceleration) x (T²)
Gravity acceleration on Earth is 9.8 m/s². or 32.2 feet/sec² .
20-ft = (1/2) (16.1) (T²)
20 = 8.05 T²
T = √(20/8.05) = <u>1.576 seconds .</u>
Since the sides are congruent so are the angles (SSS) so 3x+3x+3x=180 because all the angles in a triangle add up to 180 degrees
9x=180
X=20
So the answer is x =20
Answer:
.125 :)
Step-by-step explanation:
This is a hypergeometric distribution problem.
Population (N=50=W+B) is divided into two classes, W (W=20) and B (B=30).
We calculate the probability of choosing w (w=2) white and b (b=5) black marbles.
Hypergeometric probability gives
P(W,B,w,b)=C(W,w)C(B,b)/(C(W+B,w+b)
where
C(n,r)=n!/(r!(n-r)!) the number of combinations of choosing r out of n objects.
Here
P(20,30,2,5)
=C(20,2)C(30,5)/(20+30, 2+5)
=190*142506/99884400
=0.2710
Alternatively, doing the combinatorics way:
#of ways to choose 2 from 20 =C(20,2)
#of ways to choose 5 from 30=C(30,5)
total #of ways = C(50,7)
P(20,30,2,5)=C(20,2)*C(30,5)/C(50,7)
=0.2710
as before.