The volume of the ice cream cone in the diagram is 12 cubic centimeters. 9 centimeters is the height of the ice cream cone, what
is the diameter of the opening of the cone?
2 answers:
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Answer:
Eva's age is 44 years
Step-by-step explanation:
Let
x ----> Brita's age
y ----> Eva's age
we know that
The sum or their ages 118
so
----> equation A
The difference in age between Brita and her daughter Eva is 30 years
so
----> equation B
Solve the system by elimination
Adds equation A and equation B
<em>Find the value of y</em>
substitute the value of x in any equation
therefore
Eva's age is 44 years
Answer:
Hypothesis
Null hypothesis:
Alternative hypothesis:
Statistic
P value
The degrees of freedom are given by:
And the p value would be given by:
Conclusion
Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 3.5
Step-by-step explanation:
Information given
represent the sample mean
represent the sample deviation
sample size
represent the value to test
t would represent the statistic
represent the p value
System of hypothesis
We want to verify if the true mean is equal to 3.5, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
Statistic
The statistic would be given by:
(1)
Replacing we got:
P value
The degrees of freedom are given by:
And the p value would be given by:
Conclusion
Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 3.5