Answer:
<u>Amanda can make 1.5 or 3/2 of batches of pancakes with 11/22 of a cup of milk.</u>
Step-by-step explanation:
1. Let's review the information given to us for answering the question correctly:
Amount of milk Amanda use for a batch of pancakes = 1/3 cup
2. How many batches can she make if she only has 11/22 of a cup of milk left?
Let's simplify 11/22, dividing by 11 the numerator and the denominator,
11/22 = 1/2
Now, using the Rule of Three Simple, we can calculate the answer to this question, this way:
Number of batches = (1/2 * 1)/1/3
Number of batches = 1/2 / 1/3
Number of batches = 1/2 * 3/1 (Taking the reciprocal)
Number of batches = 3/2 = 1.5
<u>Amanda can make 1.5 or 3/2 of batches of pancakes with 11/22 of a cup of milk.</u>
Answer:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Step-by-step explanation:
For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.
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 combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
A certain performer has an independent .04 probability of a crash in each race.
This means that 
a) What is the probability she will have her first crash within the first 30 races she runs this season
This is:

When 
We have that:



0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Answer:
(6.5,3)
please see the attached picture for full solution...
Hope it helps...
Good luck on your assignment.....