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valentina_108 [34]
2 years ago
6

Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60, which inequa

lity shows n, the maximum number of notebooks she can buy with her money?
A) 1.6n greater than or equal to 56
B) 1.6n Less than or equal to 56
C) 56n Less than or equal to 1.6
D) 56n Greater than or equal to 1.6
Mathematics
2 answers:
natka813 [3]2 years ago
8 0
The answer is B because n is equal to the number of notebooks. you can not exceed the amount of money that you have to buy the notebooks
makkiz [27]2 years ago
8 0

<u>Answer-</u>

\boxed{\boxed{B.\ 1.6n\leq 56}}

<u>Solution-</u>

The amount of money that Cheryl has = $56

The cost of each notebook = $1.60

n = the maximum number of notebooks she can buy with her money

Then cost of n notebooks will be,

1.60\times n

As Cheryl has $56, so she can spend any amount less than or equal to $56. She can not spend more than $56, as she does not have more than that.

Hence, the inequality becomes,

\Rightarrow 1.6n\leq 56

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Alternative hypothesis:p > 0.113  

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Step-by-step explanation:

Information given

n=400 represent the random sample taken

X=52 represent the  workers belonged to unions

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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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