Among the licensed drivers in the same age group, what is the probability that
a driver between the ages of 25 and 34 was involved in an accident? Use the
table below.
Drivers in
Age group accidents
(thousands)
19 and under 2150
20-24
2620
25-34
3740
35-44 3220
45-54
3030
55-64
1990
65-74
790
175 and over 560
Drivers in
fatal
accidents
5,400
18.700
110.700
9600
9400
6500
3800
4300
Licensed
drivers
(thousands)
10,034
17.173
35.712
40,322
40,937
30.355
17,246
13,321

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.