Two race cars,car x an y,are at the starting point of a two km track at the same time.car x and car y make one lap every 60 s an
d every 80 sec respectively.
How long, in minutes, will it take for the faster car to be 5 laps ahead of the slower car?
How long, in minutes, will it take for the faster car to be 5 laps ahead of the slower car?
1 answer:
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When raising a fraction to a power, we can raise the numerator and denominator to the power. To find x, we need to find the cube root of both 125 and 27. That is, the numbers that when multiplied by themseelves 3 times result in 125 and 27.
![\sqrt[3]{125} = 5](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B125%7D%20%3D%205%20)
![\sqrt[3]{27} =3](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B27%7D%20%3D3)
So x =
So x =
Answer: a)
Step-by-step explanation:
Given : For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank.
Each of the four systems detects theft with a probability of .99 independently of the others .
Probability for independent events occurs together =
.
Then, the probability that when a theft occurs, all four systems will detect it
= (0.99) x (0.99) x (0.99) x (0.99)
Hence, the probability that when a theft occurs, all four systems will detect it is .
Hence, the correct answer is a) .