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ivolga24 [154]
1 year ago
10

Josh and his friends bought vanilla wafers for $4 per packet and chocolate wafers for $1 per packet at a carnival. they spent a

total of $45 to buy a total of 27 packets of wafers of the two varieties.
Part A : write a system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that josh and his friends bought at the carnival. Define the variables used in the equations.

part B: how many packets of chocolate wafers and vanilla wafers did they buy? explain how you got the answer and why you selected a particular method to get the anwser.
Mathematics
1 answer:
KIM [24]1 year ago
6 0
45 = 4X + 1X

45= 4×(9) +1×(9)

45= 36 + 9

45 = 45

OR
45= 4X + 1X

45 = 4(9) + 1(9)

45 = 36 + 9
-36= -36
9 = 9
-9 = -9
0=0

You have to evaluate the problem this way in order to figure out the number of wafers in all. Either way the answer is still 9. I replaced the variable x with 9 in order to get my answer
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7.25 each or 7.00 if rounded

Step-by-step explanation:

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C:t=2:3
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1 year ago
The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a s
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Answer:

a) Null hypothesis:p \leq 0.113  

Alternative hypothesis:p > 0.113  

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Replacing we got:

z=\frac{0.13 -0.113}{\sqrt{\frac{0.113(1-0.113)}{400}}}=1.074  

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c) For this case we see that the p value is higher than the significance level of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion workers belonged to unions is significantly higher than 11.3%

Step-by-step explanation:

Information given

n=400 represent the random sample taken

X=52 represent the  workers belonged to unions

\hat p=\frac{52}{400}=0.13 estimated proportion of workers belonged to unions

p_o=0.113 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic

p_v represent the p value

Part a

We want to test if the true proportion of interest is higher than 0.113 so then the system of hypothesis are.:  

Null hypothesis:p \leq 0.113  

Alternative hypothesis:p > 0.113  

Part b

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing we got:

z=\frac{0.13 -0.113}{\sqrt{\frac{0.113(1-0.113)}{400}}}=1.074  

The p value for this case would be given by:

p_v =P(z>1.074)=0.141  

Part c

For this case we see that the p value is higher than the significance level of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion workers belonged to unions is significantly higher than 11.3%

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