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Elden [556K]
3 years ago
11

A chocolate factory uses 1/6 of a bag of cocoa butter in each packet of chocolate. The factory used 1/3 of a bag of cocoa butter

today. How many packets of chocolates did the factory make?
Mathematics
1 answer:
blsea [12.9K]3 years ago
7 0

Answer:

2 packets of chocolates

Step-by-step explanation:

Find how many packets of chocolates they made by dividing 1/3 by 1/6:

1/3 / 1/6

= 1/3 x 6

= 2

So, the factory made 2 packets of chocolates

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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.

8 0
3 years ago
Solve: 8+ x/2= 1/4 (x-4)-1
alexandr402 [8]
|3x+1|=4 : x=−
5
3 ​or x=1
Pasos
|3x+1|=4
Aplicar las propiedades de los valores absolutos: Pi |u| = a, a>0 entonces u = a or u = −a
3x+1=−4 or 3x+1=4
Mostrar pasos
3x+1=−4 or 3x+1=4
6 0
2 years ago
11x -20y=28 3x+4y =36
jekas [21]
Answer: X is equal to 8 and Y is equal to 3
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3 years ago
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tigry1 [53]

Answer:

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6 0
3 years ago
76.3 nearest whole number
Scrat [10]
76.3 to the nearest whole number is....



76 (it remains the same because the number behind is a 3 (it isn't 5 or higher)


:)  Hope it helps
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3 years ago
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