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NNADVOKAT [17]
4 years ago
6

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Mathematics
1 answer:
kolezko [41]4 years ago
5 0
3',8 30,80 7,2 (13,18
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In a study of cell phone use and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 2455 subjects randomly select
Genrish500 [490]

Answer: 0.355,0.405)

Step-by-step explanation:

Given : Significance level : \alpha=1-0.99=0.01

Number of subjects (n) = 2455

Number of surveys returned = 931

The probability of surveys get return will be :-

p=\dfrac{931}{2455}=0.379226069246\approx0.38

The confidence interval for proportion is given by :-

p\pm z_{\alpha/2}\times\sqrt{\dfrac{p(1-p)}{n}}

0.38\pm z_{0.005}\times\sqrt{\dfrac{0.38(1-0.38)}{2455}}\\\\=0.38\pm(2.576)0.0098\\\approx0.38\pm0.025=(0.355,0.405)

Hence, the 99​% confidence interval for the proportion of returned surveys : (0.355,0.405)

5 0
4 years ago
Factor the following expression completely:
Zigmanuir [339]

Answer:

40z + 5

Step-by-step explanation:

I'm assuming you need to factor 32z + 4 + 8z + 3 - 4 + 2

  • 32z + 8z ( since they both have the same variable ) = 40z
  • 4 + 3 - 4 + 2 ( since they have to variables ) = 5

Hope this helped

5 0
4 years ago
Read 2 more answers
Explain the formation of ordinary differential equation​
marshall27 [118]

Answer:

The order of the differential equation to be formed is equal to the number of arbitrary constants present in the equation of the family of curves.

Consider the equation f ( x, y ,c1 ) = 0 -------(1) where c1 is the arbitrary constant. We form the differential equation from this equation. For this, differentiate equation (1) with respect to the independent variable occur in the equation.

Eliminate the arbitrary constant c from (1) and its derivative. Then we get the required differential equation.

Suppose we have f ( x, y ,c1 ,c2 ) = 0 . Here we have two arbitrary constants c1 and c2 . So, find the first two successive derivatives. Eliminate c1 and c2 from the given function and the successive derivatives. We get the required differential equation.

Note

The order of the differential equation to be formed is equal to the number of arbitrary constants present in the equation of the family of curves.

3 0
3 years ago
What is the best estimate for the value of r in the scatter plot?
Wittaler [7]

From the observation of the dispersion graph it is concluded that the answer to this question is option D. r = -0.5.

The correlation coefficient "r" is a measure of the linear relationship between two random variables.

When the correlation is positive, the value of "r" is between 0 and 1. This means that when one variable increases the other too.

When the correlation is negative, the value of "r" is between -1 and 0. This means that one variable decreases as the other increases.

When there is no correlation the value of "r" is 0


In this case, the dispersion chart shows that the variable "y" decreases as the variable "x" increases. Therefore the value of "r" must be negative. Of all the options, the only one that presents a value of negative r is option D:

 r = -0.5

5 0
4 years ago
10, 4, 1.6, 0.64.. what’s next
navik [9.2K]

Answer:

0.256 or 0.26

Step-by-step explanation:

The common ration is being multiply by 0.4

3 0
3 years ago
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