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Allisa [31]
3 years ago
8

In order to make statistical inferences when testing a population proportion p, which of the following conditions verify that in

ference procedures are appropriate?
a. The data are collected using a random sample or random assignment.
b. The sample size is less than 10 percent of the population size.
c. np0≥10 and n(1−p0)≥10 for sample size n and hypothesized proportion p0.
Mathematics
1 answer:
sweet [91]3 years ago
4 0

Answer:

a, b and c.

Step-by-step explanation:

The statistical inference may be defined as the process of using the data analysis to infer the properties of an underlying distribution for a probability.

In the context, for testing the population proportion p, the following conditions are used to verify the inference procedures so as to make the statistical inferences :

-- data that are collected by a random assignment or by a random sample.

-- sample size should be less than 10% of population size.

-- The $n \ p_0 \geq 10$ and the $n(1-p_0) \geq 10$ for the sample size $n$ as well as for the  hypothesis proportion, $p_0.$

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Point P(3, 9) in the coordinate plane is rotated 90 degrees counterclockwise about the origin. What are the coordinates of its i
Bumek [7]

Answer:

  P'(-9, 3)

Step-by-step explanation:

The transformation for rotation counterclockwise about the origin by some angle α will be ...

  (x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))

When the angle is α = 90°, this reduces to ...

  (x, y) ⇒ (-y, x)

You have (x, y) = (3, 9), so the image point is P'(-9, 3).

__

<em>Additional comment</em>

The "work" is applying the right sign and choosing the right coordinate to fill in the values (-y, x). I find it easier to look up the transformations for ±90° and 180°, rather than try to derive them from first principles every time. Your text may have a list:

  • 90° CCW or 270° CW: (x, y) ⇒ (-y, x)
  • 90° CW or 270° CCW: (x, y) ⇒ (y, -x)
  • 180°: (x, y) ⇒ (-x, -y)
8 0
3 years ago
Simplify the following expression.
Sloan [31]

Answer: 3x^{2}+12x


Step-by-step explanation:

1. To solve simplify the expression given in the problem, you must apply a property of exponents called Quotient of powers, which states that when you divide two powers that have the same base, you must subtract the exponents.

2. Keeping this property on mind, you can rewrite the expression as following and simplify:

\frac{-12x^{3}}{-4x}-\frac{48x^{2}}{-4x}=3x^{2}+12x


7 0
3 years ago
PLEASE HELP MEEEEEEEE IM BAD AT GEOMETRY
stepan [7]
I have calculated it,The answer is 170 in^3

Hope it helps!
7 0
3 years ago
What percent of 9.2 m is 2.5m?
Valentin [98]
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7 0
4 years ago
Read 2 more answers
What is the sum of x^2 - 3x + 7 and 3x^2 + 5x - 9
Dmitrij [34]

Hey there!

The answer to your question is 4x^2+2x-2

Given:

x^2-3x+7 and 3x^2 +5x-9

First, we can start by adding like terms. The following are like terms:

x^2 and 3x^2

-3x and 5x

7 and -9

Now, we can add these pairs together, giving us:

4x^2

2x

-2

Now, add all this together, and we get our answer as:

4x^2 + 2x - 2

Have a terrificly amazing day!

7 0
3 years ago
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