9514 1404 393
Answer:
mutually exclusive
Step-by-step explanation:
The formula of interest is ...
P(A or B) = P(A) + P(B) - P(A and B)
Filling in the given values, we have ...
9/10 = 2/5 + 1/2 - P(A and B)
Solving for P(A and B), we get ...
P(A and B) = 2/5 +1/2 -9/10 = 4/10 +5/10 -9/10
P(A and B) = 0
__
Events are mutually exclusive when <em>they can never happen at the same time</em>. That is, P(A and B) = 0.
The events A and B are mutually exclusive.
The number of 30- period until the value if the give card be equal is 20 30- day period
<h3>How to write and solve equation</h3>
let
- Number of 30- day period = x
Card 1:
50 - 2x
Card 2:
40 - 1.50x
50 - 2x = 40 - 1.50x
50 - 40 = -1.50x + 2x
10 = 0.50x
- divide both sides by 0.50
x = 10/0.50
x = 20
In conclusion, it will take 20 30- day period until the value of the given card can be equal.
Complete question:
Tavon has a $50 gift card that loses $2 for each 30-day period it is not used. He has a $40 card that loses $1.50 for each 30-day period it is not used.
Read more on equation:
brainly.com/question/2972832
#SPJ1
Answer:
P(D|A)=0.666
Step-by-step explanation:
We will use the tree diagram to understand these probabilities that is attached to the bottom of this answer.
Since there are three coins in the box, the probability of taking one in particular (the double-headed one, which is event D) is one third, which is equal to 0.333
Since the coin showed heads, the probability of it being a double-tailed coin is zero.
The Bayes theorem says that P(D|A) is the multiplication of P(D) and P(A), divided the probability of A happening by any means, happening D or not, which is the sum of all probabilities of A happening:
Answer:
5.25 tablespoons are needed per dozen
Step-by-step explanation: