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snow_tiger [21]
3 years ago
14

Trey bought 18 packs of cola. Each pack had 8 cans. He drank 7 of the cans. How many cans are left?

Mathematics
1 answer:
MariettaO [177]3 years ago
5 0

Answer: 137 cans are left of cola.

Step-by-step explanation: First we want to find the total amount of cola Trey bought. Each pack contains 8 cans, so multiply 18 packs by 8 cans to find the total amount of cans he bought. 18 x 8 = 144 total cans of cola.

Since Trey drank 7 of the cans, simply subtract 7 from 144, 144 - 7 = 137 total cans of cola remaining.

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A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135°
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z=\frac{133-135}{\frac{3.3}{\sqrt{32}}}=-3.428      

p_v =P(z  

If we compare the p value and the significance level given for example \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean is significantly lower than 135 so the claim not makes sense      

Step-by-step explanation:

Data given and notation      

\bar X=133 represent the sample mean

\sigma=3.3 represent the standard deviation for the population      

n=32 sample size      

\mu_o =135 represent the value that we want to test    

\alpha 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 determine if the true mena is at least 135, the system of hypothesis would be:      

Null hypothesis:\mu \geq 135      

Alternative hypothesis:\mu < 135      

We know the population deviation, so for this case 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{133-135}{\frac{3.3}{\sqrt{32}}}=-3.428      

Calculate the P-value      

Since is a one-side lower test the p value would be:      

p_v =P(z  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean is significantly lower than 135 so the claim not makes sense      

3 0
3 years ago
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