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vickie2370
29.07.2020 •
Mathematics
assume that when adults with smartphones are randomly selected 15 use them in meetings or classes if 15 adult smartphones are randomly selected, find the probability that at least 4 of them use their smartphones
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Ответ:
The probability that at least 4 of them use their smartphones is 0.1773.
Step-by-step explanation:
We are given that when adults with smartphones are randomly selected 15% use them in meetings or classes.
Also, 15 adult smartphones are randomly selected.
Let X = Number of adults who use their smartphones
The above situation can be represented through the binomial distribution;
where, n = number of trials (samples) taken = 15 adult smartphones
r = number of success = at least 4
p = probability of success which in our question is the % of adults
who use them in meetings or classes, i.e. 15%.
So, X ~ Binom(n = 15, p = 0.15)
Now, the probability that at least 4 of them use their smartphones is given by = P(X
4)
P(X
4) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)
=![1- \binom{15}{0}\times 0.15^{0} \times (1-0.15)^{15-0}-\binom{15}{1}\times 0.15^{1} \times (1-0.15)^{15-1}-\binom{15}{2}\times 0.15^{2} \times (1-0.15)^{15-2}-\binom{15}{3}\times 0.15^{3} \times (1-0.15)^{15-3}](/tpl/images/0714/8843/9cf24.png)
=![1- (1\times 1\times 0.85^{15})-(15\times 0.15^{1} \times 0.85^{14})-(105 \times 0.15^{2} \times 0.85^{13})-(455 \times 0.15^{3} \times 0.85^{12})](/tpl/images/0714/8843/2501e.png)
= 0.1773
Ответ:
Answer
5 and -4
Explanation
If the two triangle are congruent then they have the same area.
20 = x² - x
x² - x - 20 = 0
x² - x + (1/2)² = 20 + (1/2)²
(x - 1/2)² = 20.25
x - 1/2 = √20.25
x - 1/2 = 4.5 or x - 1/2 = - 4.5
x = 4 1/2 + 1/2 x = -4 1/2 + 1/2
= 5 = -4
The values of x are 5 and -4.