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3 years ago

Determine if the rates are equivalent. Explain your reasoning.5 cans of soup for $3.75; 8 cans of soup for $6.00

Mathematics

2 answers:

Liula [17]3 years ago

6 0

Answer:

They are equivalent

Step-by-step explanation:

Since 3.75 divided by 5 is .75 that means that 6 divided by 8 would have to also be .75 which, if you divide it, it is.

Lerok [7]3 years ago

4 0

Answer:

The rates are equivalent

Step-by-step explanation:

To find the unit cost you divide the price by the number of units

3.75÷5=0.75

6.00÷8=0.75

To determine whether or not the rates are equivalent, compare the unit costs

0.75=0.75

Therefore, the rates are equivalent

Hope this was helpful :)

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3 years ago

Read 2 more answers

Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals45 and x overbar

Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : $n=45$

$\overline{x}=148.79\text{ lb}$

$\sigma=31.37\text{ lb}$

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = $\mu=148.79\text{ lb}$

b) The confidence interval for the population mean is given by :-

$\mu\ \pm E$ , where E is the margin of error.

Formula for Margin of error :-

$z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $\alpha=1-0.90=0.1$

Critical value : $z_{\alpha/2}=z_{0.05}=\pm1.645$

Margin of error : $E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69$

Now, the 90% confidence interval for the population mean will be :-

$148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)$

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

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3 years ago