1/42
First, find the probability of Willie winning the grand prize. He has 1 ticket out of the 7 total tickets, so the probability is 1/7.
Now, find the probability of Emily winning the second prize. After the grand prize winner has been announced, there are only 6 tickets left. Emily has 1, so the probability is 1/6.
Finally, multiply the two probabilities together to find the probability that they will both happen together. To multiply fractions, multiply the numerators together and multiply the denominators together. This leaves us with (1 * 1) / (7 * 6), which is easy to simplify to 1/42, which is the final probability.
area = length times width, so length = area / width
5 1/5 mi^2 5.2 mi^2
Here, length = ------------------- = --------------- = 2.66666... mi = 2 2/3 mi (answer)
1 19/20 mi 1.95 mi
271,403.00000
Step-by-step explanation:
Answer:
Null hypothesis:
Alternative hypothesis:
And the best answer for this case is:
C. p-value
Step-by-step explanation:
Data given and notation
n represent the random sample taken
estimated proportion of interest
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion i 0.72 or no.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value 
.
For this case the only probability that can be calculated from the statistic calculated is the p value given by:
And the best answer for this case is:
C. p-value
