All socks together: 13
Black socks: 3
Probability to pick out black socks: 3/13
After one pick out (You picked out a pair of black socks):
Probability to pick out black socks: 2/12
Multiply them:
2/12 * 3/13 = 1/26 ≈ 0,038
Answer:
Step-by-step explanation:
-3x - 21 + 2x -4
-x - 25
-(x + 25)
Answer: p - 0.2p
Step-by-step explanation:
Given the following :
Original Price of tennis racket = p
Mark down or discount on original price = 20% of original price = (20/100) × p = 0.2p
Amount after discount = Amount paid by Natasha
Amount after discount = Original price - Discount
Amount after discount = p - 0.2p
Amount paid by Natasha = p - 0.2p
Answer:
y =
x + 3
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 =
x + 4 ← is in slope- intercept form
with slope m = ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Parallel lines have equal slopes , then
y =
x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = 2 + c ⇒ c = 5 - 2 = 3
y =
x + 3 ← equation of parallel line
The explicit formula for arithmetic sequence is:
an=a+(n-1)d
where:
a=first term
d=common difference
given:
a3=22
a(17)=-20
substituting this in our equation we get:
22=a+(3-1)d
22=a+2d
a=22-2d........i
also:
-20=a+(17-1)d
-20=a+16d.....ii
but substituting i in ii we get:
-20=22-2d+16d
-20-22=14d
-42=14d
d=-3
but:
a=22-2d
a=22-2(-3)
a=28
thus the formula will be:
an=28-3(n-1)
thus the first term will be 28
the 2nd term will be:
a2=28-3(2-1)
a2=25
the 3rd term will be:
a3=28-3(3-1)
a3=28-6
a3=22
a4=28-3(4-1)
a4=28-9
a4=15
a5=28-3(5-1)
a5=28-3(4)
a5=28-12
a5=15