About 1/5 of all adults in the United States have type O blood. If four randomly selected adults donate blood, find the probability of each of the following events.

a. All four are type O.
b. None of them is type O.
c. Two out of the four are type O .

Answers

Answer 1

Answer:

We know that:

1/5 = 0.2 of all adults in US have type O blood.

Then: 4/5 = 0.8 of all adults in US do not have type O blood.

a)  All four are type O.

Let's think this, as four events with two possible outcomes, having type O blood, with a probability of 0.2, and not having type O blood with a probability of 0.8

Now if we want the four people to have type O blood, then we have the outcome with probability 0.2 four times, and as we know, the joint probability is equal to the product of the individual probabilities:

P  =0.2^4 = 0.0016

b) None of them is type O.

Similar to the above case, but this time we work with four times the probability 0.8

P = 0.8^4 = 04096

c) Two of the four are type O.

Here we will have two times the probability 0.2, and two times the probability 0.8.

p = 0.2^2*0.8^2

But, if the people is ordered, the two persons with type O blood can be:

first and second

first and third

first and fourth.

second and third

second and fourth

third and fourth.

6 different combinations, then the actual probability for this case will be:

P = 6*p = 6*(0.2^2*0.8^2) = 0.1536

Answer 2

The probability of All four are type O, None of them is type O, and Two out of the four are type O is 0.0016, 0.4096, and 0.0256 respectively.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

About 1/5 of all adults in the United States have type O blood.

p = 0.2

q = 1 - p = 1 - 0.2 = 0.8

a. All four are type O. The probability will be

P = p⁴  

P = 0.2⁴

P = 0.0016

b. None of them is type O. The probability will be

P = q⁴  

P = 0.8⁴

P = 0.4096

c. Two out of the four are type O. The probability will be

P = p² × q²  

P = 0.2² × 0.8²

P = 0.04 × 0.64

P = 0.0256

More about the probability link is given below.

https://brainly.com/question/795909


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incorrect answers. School B gives no incorrect answers and the same number of correct answers as

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Answers

Answer:

9x - 2x + 62 = 9x + 24

Number of correct answer each obtained = 19

Step-by-step explanation:

Given that:

Number of correct answers = x

POINTS for correct answers = 9

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SCHOOL A:

Number of correct answers = x

Number of incorrect answers = x

Initial point = 62

Initial point + 9(number of correct answers) + - 2(number of incorrect answers)

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SCHOOL B :

Number of correct answers = x

Number of incorrect answers = 0

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Since they end up tied :

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Answers

Answer:

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Step-by-step explanation:

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Answers

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We want to find 3 positive numbers such that their sum is 100 and the product is maximum.

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Answers

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Answers

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4.

Step-by-step explanation:

(x^2 + 7x - 9) + (3x^2 - 2x) + (x^2 + 7x - 9) + (3x^2 - 2x)

x^2 + 7x - 9 + 3x^2 - 2x + x^2 + 7x - 9 + 3x^2 - 2x

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Step-by-step explanation:

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2 1/4 x 1 1/2
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Answer: I think its 45 days

Step-by-step explanation: hope this helps

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Find y-intercept and vertex

Answers

Answer:

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Your vertex is [tex](1 , 0)[/tex]

Step-by-step explanation:

In order to find the y-intercept you had to to find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y.

In order to find the vertex you had rewrite the equation in vertex form and use this form to find the vertex [tex](h , k)[/tex].

Hope this helped : )

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20%

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A pool that is being drained contained 18,000 gallons of water. After 2 hours, 12, 500
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Answers

Answer:

y-18,000=2,750(x-0) --> point-slope

y=2,750x+18,000   --> slope-intercept

-2,750x + y = 18,000  --> standard

Step-by-step explanation:

Linear Modeling

Some situations can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The pool being drained contained initially 18,000 gallons of water. If we set the variable x as the time in hours and y as the remaining gallons of water in the pool, this first point is (0;18,000).

We are also aware that after 2 hours 12,500 gallons of water remain. This gives us the second point as (2;12,500).

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

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[tex]\displaystyle y-18,000=\frac{18,000-12,500}{2-0}(x-0)[/tex]

Calculating:

[tex]\displaystyle y-18,000=\frac{5,500}{2}(x-0)[/tex]

[tex]y-18,000=2,750(x-0)[/tex]

The equation above is the point-slope form of the line

Simplifying and adding 18,000:

[tex]y=2,750x+18,000[/tex]

The equation above is the slope-intercept form of the line

Moving all the variables to the left side:

[tex]-2,750x + y = 18,000[/tex]

The equation above is the standard form of the line

Answer:

y-18,000=2,750(x-0) --> point-slope

y=2,750x+18,000   --> slope-intercept

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HELP!!


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Answers

Answer:

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Step-by-step explanation:

Given

f(x)= x^2 -3 and g(x)= x+2/x

To find

(g-f)(4)

Solution

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Answers

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