Answer:
B.1/28
Step-by-step explanation:
The bag contains 2 blue, 5 yellow, and 1 black tile.
The total number of tiles in the bag is
n(S)=2+5+1
n(S)=8
The number of blue tiles in the bag is
n(B)=2
The number of black tile is
n(Bk)=1
The probability of choosing a blue tiles is

The probability of choosing a black tile without replacing the first tile is:

The probability of drawing a blue tile followed by a black tile if the first tile drawn is not replaced

Answer:
x = 10
Step-by-step explanation:
the angle is equally bisected from the middle so
3x - 3 = 4x - 13
13 - 3 = 4x - 3x
x = 10
<FGH = 3(10) - 3 = 27
< HGI = 4(10) - 13 = 27
<FGI = <FGH + <HGI = 27 + 27 = 54
Answer:
$1695.31
Step-by-step explanation:
The appropriate formula is ...
... I = Prt
where P is the principal amount invested, r is the interest rate, and t is the time period. In this problem, the interest rate is an annual rate, so t must be expressed in years. There are 12 months in a year, so 15 months is 15/12 years.
... I = 35000×0.03875×(15/12)
... = 1695.3125 ≈ 1695.31
Answer:
Combined mean=5.66
Combined standard deviation = 2.06
Step-by-step explanation:
Combined mean= (MXa+ n×Xb)/(m+n)
Combined mean =2.80+2.86=5.66
Combined mean= sqrt(1.55)^2+(1.35)^2)
Combined deviation = 2.06