Answer:
Null hypothesis: 
Alternative hypothesis :
C. The mean Rutgers College GPA has increased to more than 3.15
Step-by-step explanation:
Data given and notation
represent the average score for Rutgers College in 2000
represent the average score for Rutgers College in 2002
represent the sample standard deviation in 2000
represent the sample standard deviation in 2002
sample size
State the null and alternative hypotheses. .
What are H0 and Ha for this study?
Null hypothesis:
Alternative hypothesis :
For this case we need to take in count that the alternative hypothesis can't have and = sign, and based on the information a good hypothesis here would be if the average GPA increased between 2000 and 2002, so based on this the best option for this case would be:
C. The mean Rutgers College GPA has increased to more than 3.15
Answer:
x ≥ 1/2
Step-by-step explanation:
6x + 21 ≥ 24
6x ≥ 3
x ≥ 1/2
check: (1/2 x 6) + 21 = 24
0.224 is the answer to this question.
AB=DE is a true statement
N = number of nights
M = number of meals
n = cost per night
m = cost per meal
T = total cost
Nn + Mm = T
They give us two scenarios :
1. N = 3 and M = 1 and T = 250
3n + 1m = 250
2. N = 3 and M = 6 and T = 330
3n + 6m = 330
Thus, we have a system of equations.
In the first equation, solve for m.
m = 250 - 3n
Now, plug this into the second equation and solve for n.
3n + 6m = 330
3n + 6(250 - 3n) = 330
3n + 1500 - 18n = 330
-15n = -1170
n = $78
Now, plug this back into our equation for m and solve.
m = 250 - 3n
m = 250 - 3(78)
m = 250 - 234
m = $16
Thus, it costs $78 per night and $16 per meal.
