Cindy saves $420 each month . her monthly salary is $ 2100. what is the ratio of the amount cindy saves to the amount she earns
1 answer:
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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.
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.
Answer:
Null Hypothesis, : p = 0.20
Alternate Hypothesis, : p > 0.20
Step-by-step explanation:
We are given that 241 subjects are treated with a drug that is used to treat pain and 54 of them developed nausea.
We have to use a 0.05 significance level to test the claim that more than 20% of users develop nausea.
<em>Let p = population proportion of users who develop nausea</em>
So, <u>Null Hypothesis,</u> : p = 0.20
<u>Alternate Hypothesis</u>, : p > 0.20
Here, <u><em>null hypothesis</em></u> states that 20% of users develop nausea.
And <u><em>alternate hypothesis</em></u> states that more than 20% of users develop nausea.
The test statistics that would be used here is <u>One-sample z proportion</u> test statistics.
T.S. = ~ N(0,1)
where, = proportion of users who develop nausea in a sample of 241 subjects =
n = sample of subjects = 241
So, the above hypothesis would be appropriate to conduct the test.