You have two dollars and 50 Cent the gumballs in the machine cost $.25 each right and solve an inequality represents the number
1 answer:
Answer:
The maximum number of gumballs you can buy is 10
Step-by-step explanation:
Let
x ---->represents the number of gumballs you can buy
we know that
The number of gumballs you can buy multiplied by it cost must be less than or equal to $2.50 (two dollars and 50 cents)
so
The inequality that represent this situation is
solve for x
Divide both sides by 0.25
therefore
The maximum number of gumballs you can buy is 10
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Answer:
1) For this case we want to check if the population deviation is less than 15( alternative hypothesis) and the system of hypothesis are:
H0:
H1:
B. H0:σ≥15, H1:σ<15
2) For this case we want to check if the population mean is at most 70000 (alternative hypothesis) and the system of hypothesis are:
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H1:
C. H0:µ≥70,000, H1:µ<70,000
3) For this case we want to check if the population proportion of all internet users that make online purchases is higher than 0.5 (alternative hypothesis) and the system of hypothesis are:
H0:
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D. H0:p≤0.5, H1:p>0.5
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
1) For this case we want to check if the population deviation is less than 15( alternative hypothesis) and the system of hypothesis are:
H0:
H1:
B. H0:σ≥15, H1:σ<15
2) For this case we want to check if the population mean is at most 70000 (alternative hypothesis) and the system of hypothesis are:
H0:
H1:
C. H0:µ≥70,000, H1:µ<70,000
3) For this case we want to check if the population proportion of all internet users that make online purchases is higher than 0.5 (alternative hypothesis) and the system of hypothesis are:
H0:
H1:
D. H0:p≤0.5, H1:p>0.5