According to the sample size, it will be necessary to approximate the data through the normal distribution and through this calculate the standard deviation to obtain both the average, the standard deviation and the obtained deviation. Here the sample size is 40.

Approximately the distribution of proportion is a Normal distribution using the CLT. the mean will be 0.78, then we have that the standard deviation is,

$\sigma = \sqrt{\frac{p(1-p)}{n}}$

$\sigma = \sqrt{\frac{(0.78)(0.22)}{40}}$

$\sigma = 0.0655$

Then the distribution will be normal with the values of 0.78 to 0.0655 for the mean and the standar deviation respectively.

Normal (0.78,0.0655)

7 0

3 years ago

Find all the real fourth roots of 256. 4 -8 and 8 8 -4 and 4

vredina [299]

256 = 16^2. In turn, 16=4^2.

The 4th roots are {4, 4, -4 and -4}.

Check for yourself: Does 4^4= 256? does (-4)^4 = 256?

3 0

3 years ago

Write a translation rule that maps point d(7 -3) onto point d'(2,5)

creativ13 [48]

We are given D (7, -3) and D'(2, 5).

SAppy the transformation
D'(x,y) → D(x-5, y+8).
Then
x=7 → x=7-5 = 2
y=-3 → y=-3+8 = 5

Answer: D (x-5, y+8) → D'

8 0

3 years ago

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