On Sunday, Ben goes to a velodrome to train. He cycles the first lap of the track in 25 seconds Each lap Ben cycles takes him 16 seconds longer than the previous lap. a) Find the time in seconds, Ben takes to cycle his tenth lap 2.
b) Ben cycles his last lap in 55.4 seconds. Find how many laps he has cycled on Sunday .
c) Find the total time in minutes, cycled by Ben on Sunday.

169 seconds

3rd lap

0.923 minutes

Step-by-step explanation:

To solve this question, we would use formula for arithmetic progression in solving it.

S(n) = a + (n - 1)d

If a = 25 s

n = 10

d = 16

S(n) = 25 + (10 - 1)16

S(n) = 25 + 9 * 16

S(n) = 25 + 144

S(n) = 169

It takes him 169 seconds to cycle his tenth lap

b

If S(n) = 55.4, what is n

55.4 = 25 + (n - 1)16

55.4 - 25 = (n - 1)16

30.4 = (n - 1)16

n - 1 = 30.4/16

n - 1 = 1.9

n = 1.9 + 1

n = 2.9 approximately 3

Therefore, he's on his 3rd lap

c

Total time cycled is dependent on the total cycles he made, and going to question 2, we were told he made 55.4 seconds of cycle

55.4/60 = 0.923 minutes

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm