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Usimov [2.4K]
3 years ago
11

Danny poured 78 liters of water into containers x, y, and z. The ratio of the volume of water in container x to the volume of wa

ter in container y is 5:2. The ratio of the volume of water in container y to the volume of water in container z is 8:11.
a) how much water was poured into container s?

b) how much more water was poured into container x than container z?
Mathematics
1 answer:
STatiana [176]3 years ago
3 0
A) -
b) 1.82 times more. (5/2)(8/11)
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Answer:

If the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30 hours

Standard Deviation, σ = 5 hours

We are given that the distribution of waking time is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 30}{5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 30}{5} = 1.645\\\\x = 38.225  

Thus, if the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

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What is the number of possible outcomes when tossing 4 coins at once?
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Answer:

Month 8

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Step-by-step explanation:

Start by calculating the monthly payments for both plans.

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1      $10,000        $500

2      $15,000       $1,000

3      $20,000       $2,000

4      $25,000       $4,000

5      $30,000       $8,000

6      $35,000       $16,000

7      $40,000      $32,000

8      $45,000      $64,000

9      $50,000     $128,000

10      $55,000     $256,000

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12 $65,000 $1,024,000

13 $70,000 $2,048,000

14 $75,000 $4,096,000

15 $80,000 $8,192,000

16 $85,000 $16,384,000

17 $90,000 $32,768,000

18 $95,000 $65,536,000

19 $100,000 $131,072,000

20 $105,000 $262,144,000

21 $110,000 $524,288,000

22 $115,000 $1,048,576,000

23 $120,000 $2,097,152,000

24 $125,000 $4,194,304,000


7 0
3 years ago
Read 2 more answers
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