Answer:
The value of P( A and B ) is 0.08.
Step-by-step explanation:
When two events are independent then the probability of both occurring is equal to the product of probabilities of both events individually,
That is, If X and Y are independent events,
Then, P(X∩Y) = P(X) × P(Y),
or P(X and Y) = P(X) × P(Y),
Here, P(A) = 0.40 and P(B) = 0.20,
Hence, P(A∩B) = P(A) × P(B)
= 0.40 × 0.20
= 0.08
Answer:
Exponential function; 
.
Step-by-step explanation:
We have been given that a tennis tournament starts with 120 players. During each round of the game, half of the players are eliminated from the tournament.
We can see that the change in number of eliminated players is not constant. The number of players in tournament is decreasing exponentially. Therefore, an exponential function best models the relationship between the number of players in the tournament, y, and the game round, x.
We know that exponential decay function is in form 
, where,
y = Final amount,
a = Initial amount,
b = Decay factor,
t = Time
Since during each round of the game, half of the players are eliminated from the tournament, so decay factor would be 
.
Initially there were 120 players, so 
.
Therefore, our required equation would be .
<em><u>Answer:</u></em>
<em><u>Answer:If any of the inequalities in the compound OR inequality have a valid solution, the compound OR inequality will also have a valid solution. The inequality below has no solutions because x^2 + 1 is never less than 0 and -x^2 - x - 2 is never greater than 0.</u></em>
Y = <span>b^x
when x = 1
y = b^1
y = b
Therefore, the value of b is the same as the value of y when x =1
From the graph,
When x = 1, y = 0.5
Therefore, b = 0.5
To confirm this
From the graph,
When x = -1, y = 2
Since </span>y = b^x<span>
2 = </span>b^-1
2 = 1/b
2b = 1
b = 0.5
When x = -2, y = 4
Since y = b^x
4 = b^-2
4 = 1/(b^2)
b^2 = 1/4
b = √(1/4)
b = 1/2
b = 0.5
Therefore, it is conformed that b = 0.5
The first one is Reflection. The second one is Translation but I’m not sure the the second one
