Answer:
27 13/60
Step-by-step explanation:
What you have tried to do is not an impossible way to do it. What you could do is set your fractions and whole numbers like this.
( 7 + 1/10) * (3 + 5/6) I don't know if you know what FOIL is, but that is the way to proceed.
- First: (meaning the first in each factor ). 3 * 7 = 21
- Outside: (meaning the two terms near outside the brackets) 7 * 5/6 = 5 5/6
- Inside: The two terms closest to the * sign 1 / 10 *3 = 3/10
- Last: The two end terms (1/10 * 5/6 = 5/60 5/60
Now you can add. 21 + 5 is the whole number amount = 26
Add the fractions
- 5/6 + 3/10 + 5/60 The lowest common multiple is 60
- 50/60 + 18/60 +5/60 = 73 / 60 = 1 and 13/60
Add that to 26 and you get 27 13/60
Answer:
Probability distribution
X P(X)
0 1/8
1 3/8
2 3/8
3 1/8
Step-by-step explanation:
When a coin is tossed there are two outcomes head and tail. When three coins are tossed the possible outcomes are
Sample space=S={HTH,THH,TTH,HHH,HTT,THT,TTT,HHT}
The total number of outcomes is n(S)=8. The X be the random variable counting number of tails in each outcome and so X can take values as 0,1,2,3. The probabilities can be computed as P(X)=n(X)/n(S). The probabilities are calculated as under:
X Outcomes P(X)
0 HHH 1/8
1 HHT,THH,HTH 3/8
2 TTH,HTT,THT 3/8
3 TTT 1/8
The probability distribution of X is as under:
X P(X)
0 1/8
1 3/8
2 3/8
3 1/8
81=16x²+24x+9
72=8(2x²+3x)
9=2x²+3x
0=2x²+3x-9
0=(2x-3)(x+3)
X=3/2 or -3
18=36x²+12x+1
0=36x²+12x-17
x=(-12±√(144-4(36)(-17))/2(36)
X=0.54 or 0.874
28=25x²+40x+16
0=25x²+40x-12
X=(-40±√(40²-4(25)(-12))/2(25)
X=-1.858 or 0.258
