15<span>√2 is what I got for the answer.</span>
Let x represent the total number of chocolate cups and y represent the total number of vanilla cups Beth buys.
She needs a total of 24 ice cream cups. So, the equation can be written as:

The number of chocolate cups she needs are twice as compared to vanilla, so we can write the equation as:
Case 1: Only constraint
2 would be met if 9 vanilla cups and 18 chocolate cups were purchased.
This is because the number of chocolate cups are double as compared to vanilla cups but the total number of cups in this case is not 24. So constraint 1 is not met.
Case 2: Only constraint
1 would be met if 6 vanilla cups and 18 chocolate cups were purchased.
This is because the total number of cups in this case is 24 but the chocolate cups are three times as compared to the vanilla cups. So the constrain 2 is not met in this case.
Options:
A. Null hypothesis : u>30 Alternative hypothesis :u<30
B. Null hypothesis :u>30 Alternative hypothesis :u=30
C. Null hypothesis :u=30 Alternative hypothesis :u≠30
D. Null hypothesis:u=30 Alternative hypothesis :u>30
Answer:
D. Null hypothesis:u=30 Alternative hypothesis:u>30
Explanation:
The null and alternative hypotheses are hypotheses test made to decide on the value of a population parameter using sample data. They are statements that are mutually exclusive(only one can be true). Therefore the null hypothesis which is the hypothesis being tested becomes true if the alternative hypothesis(everything else that is not the null hypothesis) is false. The null hypothesis assumes that the researcher is wrong as in the above statements while the alternative hypothesis states that the researcher is right.
Answer:
C
Step-by-step explanation:
when warm moist air rises into cool air.