Answer:
Step-by-step explanation:
The slope-intercept form is 
, where m is the slope of the line and c is where the line crosses the 
-axis.
To calculate 
we can use the formula 
where 
is the difference in between two points and 
is the difference between 
.
Information we can get from the graph given: 
. Since 
is the point at which the line crosses the -axis.
To find let's get two points from the graph.
Point 1: 
Point 2: 
Now use the equation .
.
Now we have and , let's put them back into the general equation.
Right now that equation is a function of time, h(t), height with respect to time. If the baseball is on the ground, it has no height. In other words, its height = 0. So if we set the equation equal to 0 and solve for t, time, that will tell us the time that the ball had a height of 0. If you plug those numbers into the quadratic formula, which is the best and most efficient way to factor a quadratic, you will get that the times are -.0615528128 and 4.061552813 seconds. The 2 things in math that will never EVER be negative are time and distance/length. So we know that the ball will not hit the ground at -.062 seconds. Therefore, it hits the ground 4.06 seconds after it was hit.
Answer:
c
Step-by-step explanation:
Answer:
a) 0.122
b) 3.35 × 10⁻⁴
c) 0.1071
Step-by-step explanation:
Here we have the Poisson process given by
Where:
λ = Rate = 4 bites/hour and
t = Length of time that is
Mean = λt
Where k = 6 fishes bites and t = 2 hours we have
b) The probability that he fails to catch any fishes during the first two hours is the probability t that he catches 0 fish as follows
(c) Here we have
For 1 fish caught in two times we have first time no fish and second time he caches a fish gives
0.122×(1-0.122) = 0.1071
