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Sonbull [250]
3 years ago
14

The time required for a citizen to complete the 2010 U.S. Census "long" form is normally distributed with a mean of 40 minutes a

nd a standard deviation of 10 minutes. What is the third quartile (in minutes) for the time required to complete the form? Multiple Choice
a.47.50
b.44.75
c.46.75
d.52.50
Mathematics
1 answer:
nordsb [41]3 years ago
4 0

Answer:

Third quartile (Q₃) = 46.75 minutes.

Therefore, Option (c) is the correct answer.

Step-by-step explanation:

Given: Mean  (μ) = 40 minutes and S.D (σ) = 10 minutes

To find : Third quartile (Q₃) = ?

Sol: As the third quartile of normal distribution covers the 75% of the total area of the curve and first quartile covers the 25% of the total area of the curve. Then with the help of z score table, the value represented the third quartile of the normal distribution is:

Q₃ = μ + 0.675 σ

Now by substitution the value of mean and standard deviation,

Q₃ = 40 + 0.675 × (10)

Q₃ = 40 + 6.75

Q₃ = 46.75

Therefore, the third quartile (Q₃) = 46.75. So, option (c) is the correct answer.

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Which is the zero of the function f(x)=(x+3) (2x-1)(x+2) ?
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Answer:

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Step-by-step explanation:

The question is not well written. I guess what you mean is:

Subtract -2x^2+4x-1 ( minus 2x squared plus 4x minus 1) from 6x^2+3x-9 (6x squared plus 3x minus 9).

To  subtract -2x^2+4x-1 from 6x^2+3x-9, that is

6x^2+3x-9 - (-2x^2+4x-1). This can be written as

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8x²-x -8

The answer is 8x²-x -8.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cboxed%7B%5Clarge%7B%5Csf%20Hello%5C%3A%20Brainlians%7D%7D" id="TexFormula1" title="\boxed{\
Agata [3.3K]

Answer:

\frac{cosx}{2\sqrt{sinx} }

Step-by-step explanation:

The answer is in the attachment,

4 0
2 years ago
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