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Karolina [17]
3 years ago
14

Assume that when adults with smartphones are randomly​ selected, ​57% use them in meetings or classes. If 8 adult smartphone use

rs are randomly​ selected, find the probability that exactly 4 of them use their smartphones in meetings or classes. The probability is
Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0

Answer:

≈ 0.2526

Step-by-step explanation:

<u>The number of combinations of 4 out of 8:</u>

  • 8C4 = 8!/(4!(8-4)!)= 8*7*6*5/(1*2*3*4)= 70

<u>Success factor is: </u>

  • 57% = 0.57

<u>and failure factor is: </u>

  • (100 - 57)%= 43%= 0.43

<u>Probability:</u>

  • 0.57⁴*0.43⁴*70 ≈ 0.2526
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Aleksandr [31]

Answer:

n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247

So the answer for this case would be n=247 rounded up to the nearest integer

Step-by-step explanation:

We know that the standard deviation is :

\sigma = 80 represent the deviation

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution and the critical value would be z_{\alpha/2}=1.960, replacing into formula (b) we got:

n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247

So the answer for this case would be n=247 rounded up to the nearest integer

8 0
3 years ago
300 reduced by twice my age is 160 what is his age
ra1l [238]

Answer:

70 years old

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300 - 160 = 140

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2 years ago
Factor x^3-4x^2-3x+18=0 given that 3 is a zero.
Mandarinka [93]

Answer:

B: (x + 2)(x - 3)^2

Step-by-step explanation:

This is only going to have 3 roots. One of them is (x - 3)

D does not look right. So let's solve it using synthetic division.

3 || 1    - 4      -3       18

            3       -3      -18

========================

     1     -1       -6        0


So what you have is a quadratic

  • x^2 - x - 6 = 0 which will factor
  • (x - 3)(x + 2) = 0
  • x - 3  = 0
  • x = 3
  • x + 2 =0
  • x = - 2
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The answer is B

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3 years ago
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