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madam [21]
3 years ago
9

For pi day, Jill sells 3 apple pies and 1 lemon for &21. Jack sells 2 apple pies and 3 lemon pies for $28. What was the pric

e of one apple pie
Mathematics
2 answers:
Elena-2011 [213]3 years ago
5 0
I'm guessing but not sure, wouldn't it be 7
DIA [1.3K]3 years ago
5 0
A= Apple Pies
L= Lemon Pies

3A + 1L = 21
2A + 3 L = 28

Try to get one variable to the negative version of the other. Like this

(-3)3A + (-3)L = (-3)21
2A + 3L = 28

So now, it is:

-9A - 3L = -63
2A + 3L = 28

Combine Terms.

-7A = -35

A = 5


Therefore, One Apple Pie costs $5, and one Lemon Pie costs $6
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Step-by-step explanation:

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3 years ago
At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening
pav-90 [236]

Answer:

z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4    

p_v =2*P(z>4)=0.0000633  

When we compare the significance level \alpha=0.1 we see that p_v so we can reject the null hypothesis at 10% of significance. So the  the true mean is difference from 21 at this significance level.

Step-by-step explanation:

Data given and notation  

\bar X=23 represent the sample mean

\sigma=3.5 represent the population standard deviation

n=49 sample size  

\mu_o =21 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the average age of the evening students is significantly different from 21, the system of hypothesis would be:  

Null hypothesis:\mu = 21  

Alternative hypothesis:\mu \neq 21  

The statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4    

P-value

Since is a two sided test the p value would be:  

p_v =2*P(z>4)=0.0000633  

Conclusion  

When we compare the significance level \alpha=0.1 we see that p_v so we can reject the null hypothesis at 10% of significance. So the  the true mean is difference from 21 at this significance level.

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3 years ago
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Circumference is given by
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Area is given by
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