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Anni [7]
3 years ago
6

Dawn and Pablo are members of a normally distributed population that is being sampled. If the chance of Dawn being included in t

he sample is 0.05%, what must the chance of Pablo being included in the sample be in order to be able to make inferences about the population based on the sample?
A) 0%
B) greater than 0% and less than 0.05%
C) 0.05%
D) greater than 0.05%
Mathematics
2 answers:
777dan777 [17]3 years ago
7 0
Answer: option C) 0.05%

In a normal distribution there are no biases, the chances (probabilities) of any member to be selected are the same. So, the chance to choose Pablo are the same that the chance to choose Dawn.
lys-0071 [83]3 years ago
7 0

Answer:

C. 0.05%

Step-by-step explanation:

NONE

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Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po
jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

Step-by-step explanation:

The given equation is

x^3-21x=-20

It can be written as

x^3+0x^2-21x+20=0

Splitting the middle terms, we get

x^3-x^2+x^2-x-20x+20=0

x^2(x-1)+x(x-1)-20(x-1)=0

(x-1)(x^2+x-20)=0

Splitting the middle terms, we get

(x-1)(x^2+5x-4x-20)=0

(x-1)(x(x+5)-4(x+5))=0

(x-1)(x+5)(x-4)=0

Using zero product property, we get

x-1=0\Rightarrow x=1

x-4=0\Rightarrow x=4

x+5=0\Rightarrow x=-5

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

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What formula would I use to find X?
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Check the picture below.

make sure your calculator is in Degree mode.

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3 years ago
Write a third-degree polynomial function whose zeros are 1, −3, and 4.
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Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:

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Now, if you multiply the first two factors together, you get the following:

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Multiply that by the last factor, (x - 4), and you get this:

(x³ + 2x² - 3x - 4x² - 8x + 12)

This can be simplified:

(x³ - 2x² - 11x + 12)

And there's your final answer. Hope this helped!


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3 years ago
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