**Answer:**

77y-44

**Step-by-step explanation:**

when you expand this type of equations you just multiply the coefficient of y and the number by -11

so:

-11*4=-44

-11*-7=77 (note: negative multiplied by negative equals positive)

so the equation now became

-44+77y

exchange places now its:

77y-44

3/10=18/60

1/6=10/60

18/60-10/60=8/60=4/30=2/15

2/15

**Answer:**

22 meters per second

**Step-by-step explanation:**

If a car is going 374 meters in 17 seconds then you divide 374/17 claiming that the car is going 22 meters every second.

**Answer:**

3100.00 * 5.5% (170.50) = 3270.50

**Step-by-step explanation:**

3100.00 * 5.5% (170.50) = 3270.50

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.