Answer: (3,1)
Step-by-step explanation: You put y over x and then you simplify it like a fraction and put it back in the form of a coordinate point
Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose
We have and , because the dice are fair.
Now we use the assumption of independence to claim that
Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:
- 2 in a unique way (1+1)
- 3 in two possible ways (1+2, 2+1)
- 4 in three possible ways
- 5 in three possible ways
- 6 in three possible ways
- 7 in two possible ways
- 8 in a unique way
This implies that the probabilities of the outcomes of are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5
The function which represents the taxi fare in terms of distance d in meter is f(d) = 3.50 × + 40 .
According to the question,
For first 500 meters cost is 40.00 and For each additional 300 meters cost is 3.50 .
Let, the total distance of taxi ride = d meters
Now, representing the equation of taxi fare in terms of distance when distance is less than 500
taxi fare = 3.50 × + 40
∴ f(d) = 3.50 × + 40
To know more about functions refer below link: brainly.com/question/12431044
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The formula of the future value of annuity ordinary
Fv=pmt [(1+r)^(n)-1)÷r]
Fv future value
Pmt payment per year 4000
R interest rate 0.0215
N time 5 years
Fv=4,000×(((1+0.0215)^(5)−1)÷(0.0215))
fv=20,878.69