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3 years ago

A sample of 2,000 people yielded P(hat) = .52. What is the variance of the population proportion?

Mathematics

1 answer:

lys-0071 [83]3 years ago

3 0

Answer:

d. .00012 or 0.00012

Step-by-step explanation:

The variance of the population proportion formula is given as:

p(1 - p)/n

Where n = sample size

p = population proportion or p(hat)

n = 2000 people

p = 0.52

Variance of the population proportion = 0.52(1 - 0.52)/ 2000

= 0.52 × 0.48 /2000

= 0.2496 /2000

= 0.0001248

Therefore the Variance of the population proportion is approximately = 0.00012

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For a moving object, the force acting on the object varies directly with the objects acceleration. When the force of 63 N acts o

Serjik [45]

Answer:

49N

Step-by-step explanation:

Step one

Given

When the force of 63 N acts on a certain object

the acceleration of the object is 9/ms^2

Firstly, we need to calculate the mass m

F=ma-------1

m= F/a

m= 63/9

m= 7kg

Step two:

Also, if the acceleration of the object becomes 7 m/s^2

then the force

Note: the mass remains the same= 7kg

F=ma

F=7*7

F= 49N

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3 years ago

Who was part of the triumvirate after Caesar’s death? (3 people)

Anon25 [30]

Answer: Octavian (the future emperor Augustus), Mark Antony, and Lepidus. i hope this helped

Step-by-step explanation:

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3 years ago

Simple question for everyone <br>What shape figure is this?

Kamila [148]

Answer:

It's a parallelogram

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3 years ago

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Which of the following is not a valid conversion factor?

inessss [21]

Answer:

Out of the 3 that were listed, the "conversion" that is invalid is 1 meter = 10 millimeters.

Step-by-step explanation:

First: Well, for something like this, you don't really need steps, you just need to know how to do process of elimination and also your conversions:

We know that 1 meter is 100 centimeters

We know 1 kilometer is 1000 meters

We know that 1 meter is 10 millim....... Wait. Do we know that?

No! 1 meter is not 10 millimeters, it's 1000 millimeters. So 1 meter = 10 millimeters is invalid.

If you ever need a converter, use this link: https://www.google.com/search?q=centimeters+to+inches&rlz=1CAFQZI_enCA835&oq=centim&aqs=chrome.2.69i57j0l5.9328j0j7&sourceid=chrome&ie=UTF-8

Thank you for reading

Topic: Metric Conversions

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3 years ago

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Find the solution to this system of equations <br> 3x+2y+3z=3 4x-5y+7z=1 2x+3y-2z=6 <br> x=? Y=? Z=?

Ede4ka [16]

Answer:

The solution is $x=2,\ y=0,\ z=-1.$

Step-by-step explanation:

You are given the system of three equations:

$\left\{\begin{array}{l}3x+2y+3z=3\\4x-5y+7z=1\\2x+3y-2z=6\end{array}\right.$

Multiply the first equation by 4, the second equation by 3 and subtract them. Then multiply the third equation by 2 and subtract it from the second equation:

$\left\{\begin{array}{l}3x+2y+3z=3\\4(3x+2y+3z)-3(4x-5y+7z)=4\cdot 3-3\cdot 1\\4x-5y+7z-2(2x+3y-2z)=1-2\cdot 6\end{array}\right.\Rightarrow \\\\\left\{\begin{array}{l}3x+2y+3z=3\\12x+8y+12z-12x+15y-21z=12-3\\4x-5y+7z-4x-6y+4z=1-12\end{array}\right.$

So,

$\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\-11y+11z=-11\end{array}\right.\Rightarrow \left\{\begin{array}{l}3x+2y+3z=3\\23y-9z=9\\y-z=1\end{array}\right.$

Multiply the third equation by 23 and subtract it from the second equation:

$\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\23y-9z-23(y-z)=9-23\cdot 1\end{array}\right.\Rightarrow \left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\23y-9z-23y+23z=9-23 \end{array}\right.$

Hence,

$\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\14z=-14 \end{array}\right.\Rightarrow z=-1$

Substitute it into the second equation:

$23y-9\cdot (-1)=9\Rightarrow 23y+9=9\\ \\23y=0\\ \\y=0$

Substitute them into the first equation:

$3x+2\cdot 0+3\cdot (-1)=3\Rightarrow 3x-3=3\\ \\3x=6\\ \\x=2$

The solution is $x=2,\ y=0,\ z=-1.$

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4 years ago