Answer:
most likely b
Step-by-step explanation:
the more than symbol tells me that it is going to move past 10.
Answer:
Contradiction
Step-by-step explanation:
Suppose that G has more than one cycle and let C be one of the cycles of G, if we remove one of the edges of C from G, then by our supposition the new graph G' would have a cycle. However, the number of edges of G' is equal to m-1=n-1 and G' has the same vertices of G, which means that n is the number of vertices of G. Therefore, the number of edges of G' is equal to the number of vertices of G' minus 1, which tells us that G' is a tree (it has no cycles), and so we get a contradiction.
Answer: 1 3/4 cups of apples in each batch
Step-by-step explanation:
STEP 1
Writing out the equation to represent if 7 cups of apples make 4 batches One batch is as a result of how many cups of apples
LET x be number of cups of apples to make each batch
7 cups of apples = 4 Batches
x cups of apples = 1 Batch
STEP 2 Solving by cross multiplication
1 batch x 7 cups of apples = 4 batches X x cups of apples
x cups of apples=1 batch x 7 cups of apples / 4batches
x = 7 / 4 = 1 3/4
number of cups of apples to make each batch= 1 3/4
Answer:
A sample of 1077 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is of:
42% of freshmen do not visit their counselors regularly.
This means that 
98% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.035. So
Rounding up:
A sample of 1077 is required.
