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Morgarella [4.7K]
3 years ago
6

A store sells 12-packs of ballpoint pens for $1.09 each and composition books for $2.79 each. Cindy buys m packs of ballpoint pe

ns and n composition books. The store offers a 5% discount for every 50th customer who makes a purchase. If Cindy gets the 5% discount, which expression will represent Cindy’s bill?
A. 0.05 − 1.09m + 2.79n
B. 1.05 + 1.09m + 2.79n
C. 1.05(1.09m + 2.79n)
D. 0.95(1.09m + 2.79n)
Mathematics
1 answer:
pogonyaev3 years ago
3 0
A 5% discount indicates that her total purchase amount will be decreased by 5%. Paying full price could be shown as 1.00, so we must subtract 0.05 from the full price to represent the discounted total (1.00-0.05 = 0.95).
Only one choice, D, contains this multiplier so we can be certain of this answer. 


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3 years ago
If a survey of a movie shows that 50% of all people who like the movie, enjoyed the official movie soundtrack too. If a total of
Murljashka [212]

Answer:

For the first question the sample size is n= 3850

ME= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

\hat p \pm ME

And replacing we got:

0.5- 0.016 = 0.484

0.5+ 0.016 = 0.516

We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.

Step-by-step explanation:

We have the following info given:

\hat p = 0.5 represent the estimated proportion of all people who like the movie

n = 3850 represent the sample size selected

For the first question the sample size is n= 3850

For the second part they gives to us the margin of error:

ME = 0.016

We know that the confidence interval for a population proportion p of interest is given by:

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

And the margin of error is given by:

ME= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

So then the confidence interval can be found with this formula:

\hat p \pm ME

And replacing we got:

0.5- 0.016 = 0.484

0.5+ 0.016 = 0.516

We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.

5 0
3 years ago
kiaria is 7 years alder tham jay . martha is twice as old as kiaria , the sum of their three ares is 7u , find the ratio of jay,
klasskru [66]

Answer:

The ratio  of Jay's age to Kiaria's age to Martha's age​ is 1: 2 : 4.

Step-by-step explanation:

Here, let us assume the age of jay = u years

So, the age of Kiaria = Age of Jay + 7   =   u + 7

And, the age of Martha  = 2 x ( age of Kiaria) = 2 ( u + 7)

Now, the sum of the ages  = 7 u

⇒ (u) + (u + 7)  + 2 ( u + 7)  = 7 u

or,  u + u + 7 + 2 u + 14 = 7 u

or, 4 u +  21 =  7 u

⇒ 3  u = 21  or u = 21/3 =  7

⇒ u  = 7 years

Hence, the age of Jay =  m = 7 years

Age of Kiaria = m + 7 = 7 + 7 = 14 years

Age of Martha  =2 (  m+7) = 2 ( 7 +7) = 28 years

So, the ratio of Jay's age to Kiaria's age to Martha's age​

is 7: 14: 28 = 1: 2 : 4

Hence, the final ratio of the ages is 1: 2 : 4.

6 0
3 years ago
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