Answer:
a) No
b) 42%
c) 8%
d) X 0 1 2
P(X) 42% 50% 8%
e) 0.62
Step-by-step explanation:
a) No, the two games are not independent because the the probability you win the second game is dependent on the probability that you win or lose the second game.
b) P(lose first game) = 1 - P(win first game) = 1 - 0.4 = 0.6
P(lose second game) = 1 - P(win second game) = 1 - 0.3 = 0.7
P(lose both games) = P(lose first game) × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%
c) P(win first game) = 0.4
P(win second game) = 0.2
P(win both games) = P(win first game) × P(win second game) = 0.4 × 0.2 = 0.08 = 8%
d) X 0 1 2
P(X) 42% 50% 8%
P(X = 0) = P(lose both games) = P(lose first game) × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%
P(X = 1) = [ P(lose first game) × P(win second game)] + [ P(win first game) × P(lose second game)] = ( 0.6 × 0.3) + (0.4 × 0.8) = 0.18 + 0.32 = 0.5 = 50%
e) The expected value 
f) Variance 
Standard deviation 
The average slope (s) on the interval [a, b] is given by
s = (f(b) -f(a))/(b -a)
When there are a lot of computations to do, it is convenient to let a machine do them. The intervals and slopes are ...
[0, 5] : 5
[-3, 3] : 0
[-5, 3] : -2
[-3, 5] : 2
Answer:
Step-by-step explanation:
<u>If p is the original price, the markdown price is:</u>
- p - 20% =
- p - p(20/100) =
- p - 0.2p =
- 0.8p
<u>Now, another 20% off:</u>
- 0.8p - 20% =
- 0.8p - 0.8p(20/100) =
- 0.8(p - 0.2p) =
- 0.64p
<u>Answer choices:</u>
- A. 0.2(1p-0.2p)
- B. 0.6p
- C. (1p-0.2p)-0.2p
- D. 0.8p(1p-0.2p)
Correct one is D
Answer:
1: 7/10
2: 3/10
3: 4/8 (2/4 or 1/2 if you need to simplify it)
Step-by-step explanation:
1: Convert 2/5 to tenths by multiplying the denominator and numerator by two. 3/10 plus 4/10 is 7/10
2: Convert 4/5 and 1/2 to tenths.
4/5 is going to be 8/10, 1/2 is going to be 5/10.
Subtract 5/10 from 8/10 to get 3/10
3: Convert 1/4 to eighths to get 2/8. Then add 2/8 and 2/8 to get 4/8.
Anne = x
devi = y
x = y + 24
1/2 x = 3/5 y
x = 6/5 y (we devided both by 1/2)
6/5 y = y + 24
6/5 y - y = 24
1/5 y = 24
y = 24 * 5 = 120
x = 120 + 24 = 144
so anne has 144 cards and devi has 120 cards.
