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3 years ago

objective: central limit theorem assumptions. the factor(s) to be considered when assessing if the central theorem holds is/are

Mathematics

1 answer:

Eddi Din [679]3 years ago

8 0

Answer:

Sample size

Step-by-step explanation:

Central Limit Theorem states that population with mean and standard deviation and if the sample size is large then the distribution of sample mean will be will be normally distributed. The central limit theorem holds assumptions that the factors to be considered when assessing central limit theorem is sample size.

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Write ratios for sin C, cos C, and tan C

frosja888 [35]

Answer:

ion k

Step-by-step explanation:

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3 years ago

Read 2 more answers

A sine function has the following key features:

lakkis [162]

Answer: f(x) = 6*sin( (1/8)*π*x) + 3

Step-by-step explanation:

A sine function is written as:

f(x) = A*sin(w*x + f) + M

where:

A = amplitude

w = frequency

f = phase

M = midline

Here we know that:

Frequency = 1/8π, then: w = (1/8)*π

Amplitde = 6, then A = 6

midline = 3, then M = 3

So our equation is:

f(x) = 6*sin( (1/8)*π*x + f) + 3.

Now we also know that:

y-inercept: (0,3)

This means that:

f(0) = 3 = 6*sin( (1/8)*π*0 + f) + 3 = 6*sin(f) + 3

Now we can remember that sin(0) = 0

Then we must have f = 0.

This means that the equation is:

f(x) = 6*sin( (1/8)*π*x) + 3

So the image of the function is:

4 0

3 years ago

Write the equation of the line that contains the points (5,7) and (5, -12):

Ainat [17]

Step-by-step explanation:

Well you first have to find the slope, which is y2-y1/x2-x1

Which is -12-7/5-5 and that equals to undefined.

So since you can't find the slope the answer should be undefined.

Hope this helps <3

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4 years ago

(X^3+1)dividend (x-1)

bazaltina [42]

$x^3=x\cdot x^2$ and $x^2(x-1)=x^3-x^2$ . So we have a remainder of

$(x^3+1)-(x^3-x^2)=x^2+1$

$x^2=x\cdot x$ and $x(x-1)=x^2-x$ . Subtracting this from the previous remainder gives a new remainder

$(x^2+1)-(x^2-x)=x+1$

$x=x\cdot1$ and $1(x-1)=x-1$ . Subtracting this from the previous remainder gives a new one of

$(x+1)-(x-1)=2$

and we're done since 2 does not divide $x$ . So we have

$\dfrac{x^3+1}{x-1}=x^2+x+1+\dfrac2{x-1}$

4 0

3 years ago

The television show 50 Minutes has been successful for many years. That show recently had a share of 29, meaning that among the

BigorU [14]

Answer:

(a) P (none) = 0.005873

(b) P ( at least one household ) = 0.9941

(c) P ( at most one household ) = 0.9960

(d) not wrong

Step-by-step explanation:

Given data

probability P = 29% = 0.29

no of sample n = 15

tv show X = 50

to find out

the probability that none of the households

the probability that at least one household

the probability that at most one household

If at most one household is tuned to 50 Minutes, does it appear that the 19% share value is wrong

solution

the probability that none of the households is tuned to 50 Minutes is

P (none) = 10C0 × $P^{0}$ × $(1 - 0.29)^{15}$

P (none) = $(0.71)^{15}$

P (none) = 0.005873

and the probability that at least one household is tuned to 50 Minutes is

P ( at least one household ) = 1 - P(none)

P ( at least one household ) = 1 - 0.005873

P ( at least one household ) = 0.9941

the probability that at most one household is tuned to 50 Minutes is

P ( at most one household ) = P (none) + P (x=1)

P ( at most one household ) =0.9941 + 10C1 × $(0.23)^{1}$ × $(0.71)^{14}$

P ( at most one household ) = 0.9960

and in last part If at most one household is tuned to 50 Minutes it appear that the 19% share value is not wrong

because P( at most one household ) is not zero

8 0

3 years ago