Answer: 13% or 0.1314
Step-by-step explanation: Binomial PDF on the calculator or by hand its
22 nCr 15 (0.60)^15(1-0.6)^7 = 0.131378
Answer:
4 pounds
Step-by-step explanation:
First, I subtracted the cost of the first pound from the final product (3.73 - 2.38) and I got 1.35. I then divided the 1.35 by .45 (the 45 cents) to figure out how many more pounds the package was from the initial 1 pounds. 1.35/.45 is 3, plus the 1 pound from the beginning makes 4 pounds in total.
4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.
We construct a number
such that taking it mod 4, 5, and 7 leaves the desired remainders:

- Taken mod 4, the last two terms vanish and we have

so we multiply the first term by 3.
- Taken mod 5, the first and last terms vanish and we have

so we multiply the second term by 2.
- Taken mod 7, the first two terms vanish and we have

so we multiply the last term by 7.
Now,

By the CRT, the system of congruences has a general solution

or all integers
,
, the least (and positive) of which is 27.
There are 9 trucks and 15 cars