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Ugo [173]
3 years ago
6

A study involved measuring the average IQ of Americans. What does the Central Limit Theorem say about the study? As long as the

sample size n is large enough: The average IQ of Americans in the sample will be normally distributed. The IQ scores of Americans in the sample will be normally distributed. The IQ scores of all Americans will be normally distributed. The average IQ of all Americans will be normally distributed. The number of Americans in the study will be normally distributed.
Mathematics
1 answer:
Alexxx [7]3 years ago
5 0

Answer:

As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

So the correct answer is:

As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.

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Please help me BRAINLIEST<br> Can someone write out these words so i can cop and past
Ad libitum [116K]

En Español

En la class de ciencias hay muchos estudiantes. A Irene siempre le gusta estudiar y haver la tarea. En todos los exámenes saca cien. Pablo nunca estudia y no le gusta tomar aptunes. En los exámenes saca cuarenta, cincuenta y trienta. Muchas veces, a Sandra le gusta hacer la tarea. En los exámenes saca noventa, cuarenta y cien. A Eduardo a veces le gusta estudiar y hacer la tarea. En los exámenes saca noventa, noventa y noventa. A Javier nunca le gusta leer libros. En los exámenes saca cuarenta, cincuenta y cuarenta. Todos los estudiantes son differentes y me gusta enseñar ciencias a todos.

In english

In science class there are many students. Irene always likes to study and do her homework. In all the exams he gets a hundred. Pablo never studies and does not like to take aptunes. In the exams he gets forty, fifty and thirty. Many times Sandra likes to do her homework. In the exams he gets ninety, forty and one hundred. Eduardo sometimes likes to study and do homework. In the exams he gets ninety, ninety and ninety. Javier never likes to read books. On the exams he gets forty, fifty and forty. All students are different and I like to teach science to everyone.

Hope this helps!

8 0
3 years ago
A 40-m-long chain hangs vertically from a cylinder attached to a winch. Assume there is no friction in the system and the chain
daser333 [38]

Answer:

a) W₁ = 78400 [J]

b)Wt = 82320 [J]  

Step-by-step explanation:

a) W = ∫ f*dl      general expression for work

If we have a chain with density of 10 Kg/m, distributed weight would be

9.8 m/s² * 10 kg   = mg

Total length of th chain is 40 m, and the function of y at any time is

f(y) = (40 - y ) mg   where ( 40 - y ) is te length of chain to be winded

At the beggining we have to wind 40 meters   y = 0 at the end of the proccess  y = 40 and there is nothing to wind then:

f(y) = mg* (40 - y )

W₁ =  ∫f(y) * dy    ⇒ W₁ = ∫₀⁴⁰ mg* (40 - y ) dy  ⇒ W₁ = mg [ ∫₀⁴⁰ 40dy - ∫₀⁴⁰ ydy

W₁ = mg [ 40*y |₀⁴⁰   -  1/2 * y²  |₀⁴⁰    ⇒  W₁ = mg* [ 40*40 - 1/2 (40)² ]

W₁ = mg * [1/2]     W₁ = 10*9,8* ( 800 )

W₁ = 78400 [J]

b) Now we can calculate work to do if we have a 25 block and the chain is weightless

W₂ = ∫ mg* dy     ⇒    W₂  = ∫₀⁴⁰ mg*dy   ⇒    W₂  = mg y |₀⁴⁰

W₂ = mg* 40   = 10*9.8* 40  

W₂ = 3920 [J]

Total work

Wt = W₁  +  W₂        ⇒    Wt = 78400 + 3920

Wt = 82320 [J]

6 0
3 years ago
Are the expressions 5 to the second power and 2 to the fifth power equivalent explain how u know
Anna71 [15]

five to the second power is 5x5 which is 25.

two to the fifth power is 2x2x2x2x2 which is 32.


8 0
3 years ago
Read 2 more answers
What is the metric system prefix for the quantity 0.000 001?
Basile [38]

Answer:

Micro

Step-by-step explanation:

The metric system prefix for 0.00000 1 is Micro (μ) others include 0.001 milli, 0.01 centi, 0.00000000 1 nano and so on.

6 0
3 years ago
Y’all what are the answers
stiks02 [169]

Answer:

Step-by-step explanation:

6 0
3 years ago
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