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USPshnik [31]
3 years ago
12

To perform a certain type of blood analysis, lab technicians must perform two procedures. The first procedure requires either on

e or two separate steps, and the second procedure requires either one, two, or three steps.
a. List the experimental outcomes associated with performing the blood analysis.


- Select your answer -
b. Let denote the total number of steps required to do the complete analysis (both procedures). Show what value of random variable will assume for each of the experimental outcomes. (If an outcome does not occur, enter “0”.)

Experimental Outcomes Value of
(1)
(2)
(3)
(1, 1)
(1, 2)
(1, 3)
(2, 1)
(2, 2)
(2, 3)
(3, 1)
(3, 2)
(3, 3)
Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0

The random numbers can take any value randomly.

A <u><em>simple random sample</em></u> is selected in such a manner that each unit has the equal probability of being included in the sample.

The possible outcomes of the given experiment are

(1, 1)  ,(1, 2) , (1, 3) , (2, 1) , (2, 2) , (2, 3)                                      

The first procedure requires either one or two separate steps.

This means it cannot take the third step in the first procedure.

Let <u><em>1</em></u> take the first  and the second  step.

So if<u><em> 1</em></u> occurs then 1,2,  can occur and 3 <u>cannot</u> occur.

Similarly

If <u><em>2</em></u> occurs then 1,2, and 3 can occur.

The second procedure requires either one, two, or three steps.

Therefore

<u>Experimental Outcomes</u>         <u> Value of  x</u>

(1)                                                         0   Not possible  2 process required

(2)                                                     0          Not possible

(3)                                                        0        Not possible

(1, 1)                                           2

(1, 2)                                          3

(1, 3)                                         4

(2, 1)                                        3

(2, 2)                                        4

(2, 3)                                       5

(3, 1)                                      0                  Not possible  process 1 cannot take 3

(3, 2)                                     0               Not possible

(3, 3)                                     0               Not possible

brainly.com/question/5432563

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From this result, one easily finds the vertex of the graph of f is (3, -2).

To find the zeros of f, we set f equal to 0 and solve for x.

(x - 3)2 - 2 = 0.

(x - 3)2 = 2.

(x - 3) = ± sqrt(2).

x = 3 ± sqrt(2).

To sketch the graph of f we shift the graph of y = x2 three units to the right and two units down.

If the coefficient of x2 is not 1, then we must factor this coefficient from the x2 and x terms before proceeding.

Example 4.

Write f(x) = -2x2 + 2x + 3 in standard form and find the vertex of the graph of f.

f(x) = -2x2 + 2x + 3.

= (-2x2 + 2x) + 3.

= -2(x2 - x) + 3.

= -2(x2 - x + 1/4 - 1/4) + 3.

We add and subtract 1/4, because (-1/2)2 = 1/4, and -1 is the coefficient of x.

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Note that everything in the parentheses is multiplied by -2, so when we remove -1/4 from the parentheses, we must multiply it by -2.

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Write f(x) = 3x2 + 12x + 8 in standard form. Sketch the graph of f ,find its vertex, and find the zeros of f. Answer

Alternate method of finding the vertex

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