Answer:
10.67 m
Step-by-step explanation:
Velocity is given as;
v(t) = t² − t − 6
To get the distance, we will integrate the velocity equation.
x(t) = ∫v(t) = (t³/3) - (t²/2) - 6t
Thus, from t=0 seconds to t=4 seconds., we have;
(t³/3) - (t²/2) - 6t between 0 and 4.
Thus;
Total Distance = [(4³/3) - (4²/2) - 6(4)] - [(0³/3) - (0²/2) - 6(0)]
Total distance = (64/3) - 8 - 24 = -10.67 m
Distance can't be negative and so we take the absolute value which is 10.67 m
Part a: subtract 48-30=18
Part b: i found it by subtracting 48 -30 because it says left over
Step-by-step explanation:
Line is passing through the points:
Equation of line in two point form is given as:

Answer:
1. 68%
2. 50%
3. 15/100
Step-by-step explanation:
Here, we want to use the empirical rule
1. % waiting between 15 and 25 minutes
From what we have in the question;
15 is 1 SD below the mean
25 is 1 SD above the mean
So practically, we want to calculate the percentage between;
1 SD below and above the mean
According to the empirical rule;
1 SD above the mean we have 34%
1 SD below, we have 34%
So between 1 SD below and above, we have
34 + 34 = 68%
2. Percentage above the mean
Mathematically, the percentage above the mean according to the empirical rule for the normal distribution is 50%
3. Probability that someone waits less than 5 minutes
Less than 5 minutes is 3 SD below the mean
That is 0.15% according to the empirical rule and the probability is 15/100
The answe The answer would be C