Answer:
There are 1% probability that the last person gets to sit in their assigned seat
Step-by-step explanation:
The probability that the last person gets to sit in their assigned seat, is the same that the probability that not one sit in this seat.
If we use the Combinatorics theory, we know that are 100! possibilities to order the first 99 passenger in the 100 seats.
LIke we one the probability that not one sit in one of the seats, we need the fraction from the total number of possible combinations, of combination that exclude the assigned seat of the last passenger. In other words the amount of combination of 99 passengers in 99 seats: 99!
Now this number of combination of the 99 passenger in the 99 sets, divide for the total number of combination in the 100 setas, is the probability that not one sit in the assigned seat of the last passenger.
P = 99!/100! = 99!/ (100 * 99!) = 1/100
There are 1% probability that the last person gets to sit in their assigned seat
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Step-by-step explanation:
From the question we are told that
The sample size is n = 64
The average price is 
The population standard deviation is 
The level of significance is 
The population mean is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as
=> 
=> 
From the z table the area under the normal curve to the left corresponding to 1.75 is
Generally p-value is mathematically represented as
=> 
=> 
From the values obtained we see that 
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Answer:
The slope of Function A is greater than the slope of function B while the y-intercept of Function B is greater than the y-intercept of function A.
Step-by-step explanation:
Function A is f(x) = 5x + 2
The slope is 5 and the y-intercept is (0, 2).
Function B. The slope is (5-2) / (0- -1) = 3.
also (8-5) / (1 - 0) = 3
The slope is 3.
The y-intercept is at (0, 5) because one point on the graph is (0, 5).
Answer:
hi
Step-by-step explanation:
13×4=52
area is 52
have a nice day
