Answer:
There are 6 nickels, 10 dimes and 13 quarters.
Step-by-step explanation:
number of nickels = n
number of dimes = n+4
number of quarters = (n+4)+3 = n+7
express total amount in cents $4.55 = 455 cents
express total in cents by multiplying quantities of coins by value and adding them up.
455 = 5*n + 10*(n+4) + 25*(n+7) 455 = 5n + 10n + 40 + 25n + 175 240 = 40n n = 6
so number of nickels = 6.
number of dimes = number of nickels + 4 = 6+4 =10
number of quarters = number of dimes + 3 = 10+3 = 13
There are 6 nickels, 10 dimes and 13 quarters.
Answer:
1. 0.99993108.
2. 6 components.
Step-by-step explanation:
(a) Probability of 1 component failing = 0.041
So the probability of the whole system failing = 0.041^3.
Therefore the probability of not failing
= 1 - 0.041^3 = 0.99993108.
(b).
Try 5 components:
1 - 0.041^5 = 0.99999988
6:
1 - 0.041^6 = 0.9999999952.
So the answer is 6 components.
