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Ber [7]
4 years ago
8

Omar made $144 for 12 hours of work.

Mathematics
1 answer:
Vinvika [58]4 years ago
3 0

Answer:

96

Step-by-step explanation:

144/12= 12 ( each hour)

12( times)  8=96

Since they got 144 for 12 hours you have to divide the hours by the money to get the amount earned ever hour so you divide the total amount by the  hour then use the information you got and then you multiply the amount of money by 8

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3 years ago
The owner of a large car dealership believes that the financial crisis decreased the number of customers visiting her dealership
Shkiper50 [21]

Answer:

z=\frac{750-800}{\frac{350}{\sqrt{100}}}=-1.429    

Step-by-step explanation:

Data given and notation  

\bar X=750 represent the sample mean

\sigma=350 represent the population standard deviation for the sample  

n=100 sample size  

\mu_o =800 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t 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 mean is lower than 800, the system of hypothesis would be:  

Null hypothesis:\mu \geq 800  

Alternative hypothesis:\mu < 800  

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

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

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

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

z=\frac{750-800}{\frac{350}{\sqrt{100}}}=-1.429    

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4 years ago
Simplify (x - y)^2 - 2(x - y) + 1
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Answer:

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\displaystyle \large{ {A}^{2}  - 2A + 1 =  {( A- 1)}^{2} }

Rewrite A in (x-y)^2.

\displaystyle \large{ {(x - y)}^{2}  - 2(x - y) + 1 =  {( (x - y)  - 1)}^{2} }

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The answer would be 7.564

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