Answer:
Your answer is D. 4/5 this is because of you had a whole pizza, and split it into five pieces, and somone takes 2 slices, there will be 3/5 of that pizza left, if they only took one, there would be 4/5, which is more pizza than a 3/5 of a pizza
Step-by-step explanation:
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 
Answer: The solution is,
or 
Step-by-step explanation:
Given compound inequality,
-8x + 14 ≥ 60 or -4x + 50 < 58,
By the subtraction property of inequality,
-8x + 14 - 14 ≥ 60 - 14 or -4x + 50 - 50 < 58 -50,
-8x ≥ 46 or -4x < 8
By the division property of inequality,
or 
Using property a > b ⇒ - a < -b,
or 
Answer:
8 people watched the show
Step-by-step explanation:
50 - 42 = 8
Answer:

Step-by-step explanation:
We have

and

We want to find (f+g)(x).
By the algebraic properties of polynomial functions,


This simplifies to

We can't simplify further, hence the simplest form