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ohaa [14]
3 years ago
14

If Fun Reads Bookstore has a ready club with a $40 fee and charges $5 per book and Cool Covers Bookstores club charges $100 fee

and charges $2 per book how many books would you have to buy to make Cool Covers Bookstore club a better buy?
Mathematics
1 answer:
choli [55]3 years ago
8 0

Answer:

You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.

Step-by-step explanation:

Given that:

Fee charged by Fun Reads Bookstore = $40

Charges per book = $5

Let x be the number of books.

A(x) = 5x+40

Fee charged by Cool Covers Bookstore = $100

Charges per book = $2

B(x) = 2x+100

For making Cool Cover Bookstores club a better deal,

B(x) > A(x)

2x+100 > 5x+40

2x-5x > 40-100

-3x > -60

Dividing both sides by -3

\frac{-3x}{-3}>\frac{-60}{-3}\\x>20

Hence,

You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.

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Answer:

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Step-by-step explanation:

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A random sample of 49 measurements from one population had a sample mean of 15, with sample standard deviation 5. An independent
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Answer:

Comparing the p value with the significance level \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.  

Step-by-step explanation:

\bar X_{1}=15 represent the mean for sample 1

\bar X_{2}=18 represent the mean for sample 2

s_{1}=5 represent the sample standard deviation for 1  

s_{f}=6 represent the sample standard deviation for 2  

n_{1}=49 sample size for the group 2  

n_{2}=64 sample size for the group 2  

\alpha=0.01 Significance level provided

t would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:  

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

And the degrees of freedom are given by df=n_1 +n_2 -2=49+64-2=111  

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:  

t=\frac{(15-18)-0}{\sqrt{\frac{5^2}{49}+\frac{6^2}{64}}}}=-2.897

P value

Since is a bilateral test the p value would be:  

p_v =2*P(t_{111}  

Comparing the p value with the significance level \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.  

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What number is the highest and which is the lowest. 22.075, 25.125, 23.015, 25.085
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The length of a ribbon is 6/7 meter. Sun Yi needs pieces measuring 1/6 meter for an art project. What is the greatest number of
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Answer:

Let's find out!

Step-by-step explanation:

So we have to set up an equation

Let x= # of ribbons that can be cut

Thus:

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So, we cannot have 36/7 ribbons! It's not possible!

So we just simplify!

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There we go! She can cut 5 ribbons off!

I'll let you figure out the last one!

Hope this helps!

P.S. Stay Safe!

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