There are a number of possible combinations for this open-ended question, so here's an example question and answer, in which the two are non-related:
James' car is going at 45 miles per hour, and that is 42% of his maximum speed. How much slower does James have to go to be 27% of his maximum speed?
Amy's car used to be able to go at 45 miles per hour as 42% of her maximum speed, but due to the new upgrade, 45 miles per hour is now only 27% of her maximum speed.
Answer:
P(A) = 44.44%
P(B) = 50%
P(B|A) = 37.5%
P(B|A) different from P(B).
A and B are independent.
Step-by-step explanation:
If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%
If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%
If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%
To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%
P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.
Answer:
For question 1 it's B
For question 2 it's C
Step-by-step explanation:
<u>For question 1, you have to apply the "Triangle Inequality Theorem"</u>
A+B > C
B+C > A
A+C > B
Let's say that A=22, B=17, C= 14
22+17 > 14 True
17+14 > 22 True
22+14 > 17 True
Therefore, the answer is B
<u>For question 2, you apply the rule of the sum of the triangles which is 180°</u>
70+70+? = 180
140+? = 180
? = 40
Therefore, it's C
Answer:
c. 3 / 13
d. 2 / 13
Step-by-step explanation:
c.
A deck of cards has 52 cards. There are cards of 4 suits- Spades, Hearts, Diamonds and Clubs.
So, there are 52/4= 13 cards of each suit.
Among these 13 cards, there are 3 picture cards or face cards as they are called. These are the Jack, Queen and King cards.
So, the number of total picture cards = 4*3 = 12
the number of cards are 52
theoretical probability formula: P = favorable events/ possible events
P = 12 / 52
P = 3 / 13
d.
there are four aces and four sevens in the deck
so favorable events = 4 + 4 = 8
possible eventas = 52
P = 8 / 52
P = 2 / 13
