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Charra [1.4K]
3 years ago
7

Melisande collected 14 bottles on Saturday and 9 bottles on Sunday for recycling. On Monday, she took all the bottles to the rec

ycling center, where they paid her a certain amount, b, for each bottle. However, she had to pay the recycling center a one-time service fee of $0.25. If she left there with $3.20 for the bottles, what is the value of b?

Mathematics
2 answers:
hodyreva [135]3 years ago
8 0

Answer: The value of b is $0.15.

Step-by-step explanation:

Total bottles co0llected = 14+9 =23

Payment for each bottle = b

Total payment she will get = 23b

One -time service fee = $0.25

She has left = $3.20

According to the question,

23b - 0.25 = 3.20

⇒23b = 3.20+0.25

⇒23b = 3.45

⇒b = 0.15   [divide both sides by 23]

Cost of each bottle = $ 0.15

hence, the value of b is $0.15.

stira [4]3 years ago
7 0

Answer:

B. $0.15

Step-by-step explanation:

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in a random sample of 28 people, the mean commute time to work was 31.2 minutes and the standard deviation was 7.3 minutes. assu
antoniya [11.8K]

Answer:

The margin of error of u is of 3.8.

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7707

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.7707\frac{7.3}{\sqrt{28}} = 3.8

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The margin of error of u is of 3.8.

The lower end of the interval is the sample mean subtracted by M. So it is 31.2 - 3.8 = 27.4 minutes

The upper end of the interval is the sample mean added to M. So it is 31.2 + 3.8 = 35 minutes

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

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