Standard form is y = mx + b.
To find the slope, m, we must find the 'rise over run,' or the difference in y divided by the difference in x. We do this by:
Therefore, the slope is 8/3.
To find b, we must plug in the slope and one point:
Therefore, b is 25/9, and the total equation is
Answer: 3
Step-by-step explanation:
16+3=19
Answer:A solution to an equation is the value or values of the variable or variables that make the equation a true statement. Graphically, solutions are the intersections of the graphs of the left side and the right side, or if the equation is written so that one side is zero, we are looking for the x-intercepts (for real solutions.)
Periodic functions can have infinite solutions. For instance, cos(x)=1 has as solutions x=2n*pi, n in ZZ (or n an integer.) Periodic functions can...
Step-by-step explanation:
Answer:
Explanation:
The general formula to calculate the probability of each event is:
- Probability = number of positive (desired) outcomes / number of total outcomes
Number of apples = 4
Number of peaches = 5
Number of fruits = 9
Since the three times you return the radomly selected fruit, and then mix it, the three times the probability is not affected by the previous selection; so, these are independent events, and you can calculate the probability of the joint event as the product of the probabilities of each individual event.
Probability of getting an apple = number of apples / number of fruits = 4 / 9
Probability of getting a peach = number of peaches / number of fruits = 5 / 9
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Probability of getting a peach = number of peaches / number of fruits = 5 /9
- <u>Joint probability:</u>
= (4/9) × (5/9) × (5/9) = (4 × 5 × 5) / (9 × 9 × 9) = 100 / 729
