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

Answer:
5 batteries.
Explanation:
"How many batteries lasted more than 5 1/2 hours?" which means it's counting not only 5 1/2, but 5 3/4 and 6 1/4
Answer:
x = 3, line AB = 17 , and line CD = 17
y = 10, angle A = 70, and angle D = 70
Step-by-step explanation:
well since their the same length you can put them equal to each otheir
5x + 2 = 8x - 7
subtract 5x by both sides to get --> 2 = 3x -7
add 7 to both sides and get --> 9 = 3x
divide 3 by both sides to get x = 3
now plug it back in each equation we started with and get you answers
Same steps for y but different equations
Answer:
P(B|W)=0.5
Step-by-step explanation:
-Given that P(B)=0.5,P(B)=0.59 AND P(W)=0.29-Conditional probability is defined as the probability of one event occurring with relationship with one or more other events.

Hence, the conditional probability that a degree is earned by a woman, given that the degree is a bachelor's degree is 0.5