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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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a random sample of 4 claims are selected from a lot of 12 that has 3 nonconforming units. using the hypergeometric distribution
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Answer:

The probability that the sample will contain exactly 0 nonconforming units is P=0.25.

The probability that the sample will contain exactly 1 nonconforming units is P=0.51.

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Step-by-step explanation:

We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.

We can write the probability mass function as:

P(x=k)=\frac{\binom{K}{k}\binom{N-K}{n-k}}{\binom{N}{n}}

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We can calculate the probability of getting no non-conforming units (k=0) as:

P(x=0)=\frac{\binom{3}{0}\binom{9}{4}}{\binom{12}{4}}=\frac{1*126}{495}=\frac{126}{495} = 0.25

We can calculate the probability of getting one non-conforming units (k=1) as:

P(x=1)=\frac{\binom{3}{1}\binom{9}{3}}{\binom{12}{4}}=\frac{3*84}{495}=\frac{252}{495} = 0.51

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