Quadratic equations find their application in various real-world scenarios such as: sports, bridges, projectile motion, the curvature of bananas, and so on.
Here are three images representing real-world instances of quadratics:
Example 1: A cyclist travels along a parabolic trajectory to leap over obstacles.
Example 2: A person throws a basketball towards the hoop, moving in a gently upward path described by a quadratic curve.
Example 3: A football player kicks the ball upward, which follows a quadratic path as it travels a distance.
c) Step-by-step breakdown: The collision rate is 1.2 incidents per 4 months, which can be expressed as 0.3 incidents monthly. Therefore, the Poisson distribution for the variable X representing monthly collisions is defined as P(X = x) =... for x ∈ N ∪ {0} = 0 otherwise. (1) Where X = 0 denotes no collisions during a 4-month timeframe, substituting gives P(X = 0) =... (2). For a 4-month period, P(No collision in 4 month period) =... (3). Two collisions in a 2-month span translate to 1 per month, thus P(X =1) =... (4). Over 2 months, P(2 collisions in a 2 month period) =... (5). One collision over a 6-month period equates to P(1 collision in 6 months period) =... (6). Consequently, P(1 collision in 6 month period) results in... (7). For no collisions in a 6-month period, P(No collision in 6 months period) =... (8). Finally, the probability of 1 or fewer collisions over six months is P(1 or fewer collision in 6 months period) = (8) + (7) = 0.0785 + 0.1653.
Answer:
B. (3, 0)
Step-by-step explanation:
The x-intercept signifies the location on the graph where it intersects the x-axis.
At the x-intercept, y=0 or f(x)=0.
Therefore, you need to examine the table for the instance where f(x)=0.
The value f(x)=0 is found at x=3 in the table.
We express this as an ordered pair.
Hence, the x-intercept is (3,0).
The right option is B.
20 102.3 rounded down is 100 4.7 rounded up is 5. 100 divided by 5 equals 20, as 5 times 20 equals 100.
