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3 years ago

Convert 5280 vodas to pivos. Show three significant figures for your answer.

Mathematics

1 answer:

Finger [1]3 years ago

8 0

(5280 vodas) * (1/2.71828 moloko/voda) * (1/3.1416 pivo/moloko) ≈ 618 pivos

(because 5280 has 3 significant digits)

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In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there

Elis [28]

Answer:

a) 150 pounds

b) 6.75

c) 156.25

d) 0.177

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 150 pounds

Standard Deviation, σ = 27 pounds

We are given that the distribution of weight of persons on campus is a bell shaped distribution that is a normal distribution.

a) expected value of the sample mean of their weights

$\bar{x} = \mu = 150\text{ pounds}$

b) standard deviation of the sampling distribution

$\dfrac{\sigma}{\sqrt{n}} = \dfrac{27}{\sqrt{16}} = 6.75$

c) average weight for these 16 people will result in the total weight exceeding the weight limit of 2500 points

$\dfrac{\text{Limit}}{\text{Number of people}} = \dfrac{2500}{16} = 156.25$

d) P(sample of 16 persons on the elevator will exceed the weight limit)

Formula:

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

P(x > 156.25)

$P( x > 156.25) = P( z > \displaystyle\frac{156.25 - 150}{6.75}) = P(z > 0.9259)$

$= 1 - P(z \leq 0.9259)$

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

$P(x > 610) = 1 - 0.823 = 0.177 = 17.7\%$

0.177 is the probability that a random sample of 16 persons on the elevator will exceed the weight limit.

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3 years ago

Write an equation to represent the sum modeled in the following number line.

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Answer:

let x and y be two integers then this number line can be represented as linear equation with two variable

2x-3.1y= -1.1

here x and y could be 1

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4 years ago

The cost of building a new house is directly proportional to the number of square feet in the house. If a 1,500-square-foot hous

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If you divide 120,000 by 1,500 you will get the amount that it costs per square feet which you would then multiply by 2,400 to get 192,000. So the answer is $192,000

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3 years ago

7.8 -3.3 - (-1.2) + 4.3

Zinaida [17]

Answer:

Step-by-step explanation:

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3 years ago

A carnival game involves drawing a card from a deck of 40 cards, replacing it, shuffling the deck, and drawing another

padilas [110]

Answer:

4 tokens.

Step-by-step explanation:

The expected value of a given event is calculated as:

EV = (x₁*p₁ + x₂*p2 + ... + xₙ*pₙ)

Where xₙ is the n-th outcome, and pₙ is its probability.

In this case, our experiment is:

You draw two times.

We have 30 cards with no prize

We have 10 cards with a prize.

A total of 40 cards.

As we draw two times (and the first time we draw a card we put it back in the deck) we can consider the events as independent, so we can find the expected value per draw.

Now we can define:

x₁ = drawing a blank card = 0 tokens

The probability will be equal to the quotient between the number of blank cards and the total number of cards

p₁ = 30/40 = 3/4

x₂ = drawing a prized card = 8 tokens.

The probability will be equal to the quotient between the number of prized cards and the total number of cards:

p₂ = 10/40 = 1/4

Then the expected value per draw is:

EV = ( (3/4)*0 tokens + (1/4)* 8 tokens) = 2 tokens.

And we have two draws, then the expected value of two draws is two times the expected value per draw, this means that the expected value in our case is:

expected value = 2*(2 tokens) = 4 tokens.

The correct option is the first one, counting from the top.

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3 years ago