Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.
Binomial probability distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem
There are 10 containers, so
.
A food-packaging apparatus underfills 10% of the containers, so
.
a) This is P(X = 1)

b) This is P(X = 3)

c) This is P(X = 9)

d) This is
.
Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:


In which







So

Finally

5. since .6 is greater than 5, we round up.
Answer:
Step-by-step explanation:
Arithmetic sequence
Tn = a+(n-1)d
= -85 +(601-1) 1/6
= -85 + 600/6
= -85 + 100
= 15
601th term is 15
Sold 2/5 in the morning.....leaving 3/5
he sold 3/4 of 3/5 in the afternoon......3/4 * 3/5 = 9/20
2/5 = 8/20
9/20 - 8/20 = 1/20...so he sold 1/20 more in the afternoon.
so if 1/20 = 24, then 20/20 = 24*20 = 480
so he started with 480 cartons
Answer:
there are 28 quarters and 13 nickels
Step-by-step explanation: