Given:
A fair die is rolled.
It pays off $10 for 6, $7 for a 5, $4 for a 4 and no payoff otherwise.
To find:
The expected winning for this game.
Solution:
If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.
The probability of getting a 6 is:

The probability of getting a 5 is:

The probability of getting a 4 is:

The probability of getting other numbers (1,2,3) is:


We need to find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.
Therefore, the expected winnings for this game are $3.50.
Answer: A. y=x²-9x+20
Step-by-step explanation:
As we can see from the graph there are two x-intercepts: (4,0) (5,0)
The easiest way we can do, is we plug these two values into each of the choices.
A. y=x²-9x+20
(4, 0) YES
(5,0) YES
B. y=x²-8x+18
(4, 0) NO
(5, 0) NO
C. y=x²+9x+20
(4, 0) NO
(5, 0) NO
D. y=x²+x-12
(4, 0) NO
(5, 0) NO
Therefore, the answer should be y=x²-9x+20
Hope this helps!! :)
Please let me know if you have any questions
Answer:
80 km
Step-by-step explanation:
First, find the perimeter of the park.
2(12 + 8) = 2(20) = 40 km
Since Rama travels around the park twice, multiply the perimeter by 2.
40(2) = 80 km
Hi there! The answer is 80 green apples.
In a bag of apples, the ratio of red apples to green apples is 3:4, so we must first realise that there is a total of 7 parts.
3 of these parts constist if red apples. In other terms 3 / 7 equals 60. Now divide by 3 to find 1 / 7. Hence, 1 / 7 equals 60 / 3 = 20 apples.
4 of the total 7 parts consist of green apples, so we must multiply the preceding outcome by 4 to find our answer. 4 / 7 equals 20 × 4 = 80 apples.
Therefore, there are 80 green apples in the bag.
~ Hope this helps you!