Answer:
u = 12
Step-by-step explanation:
The equation is showing 5(u) = 60
<u>Begin: 5(u)= 60</u>
2. Divide the 5 from both sides to get the u-value alone.
a) 5u/5 = u b) 60/5 = 12
<u>Now: u = 12</u>
Assume that the number is n.
sum of twice the number and 15 means that you will first multiply the number by 2 then add 15.
the equation us:
2n + 15 = -42
2n = -42-15
2n = -57
n = -28.5
Answer: <13
Step-by-step explanation:
12 is the most, so 13 isn’t allowed. It has to be less than 13.
Answer:
99.8% probability of at least one failure.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
Probability of success is 30%.
This means that ![p = 0.3](https://tex.z-dn.net/?f=p%20%3D%200.3)
Five trials:
This means that ![n = 5](https://tex.z-dn.net/?f=n%20%3D%205)
Find the probability of at least one failure in five trials of a binomial experiment in which the probability of success is 30%.
Less than five sucesses, which is:
![P(X < 5) = 1 - P(X = 5)](https://tex.z-dn.net/?f=P%28X%20%3C%205%29%20%3D%201%20-%20P%28X%20%3D%205%29)
In which
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{0} = 0.002](https://tex.z-dn.net/?f=P%28X%20%3D%205%29%20%3D%20C_%7B5%2C5%7D.%280.3%29%5E%7B5%7D.%280.7%29%5E%7B0%7D%20%3D%200.002)
![P(X < 5) = 1 - P(X = 5) = 1 - 0.002 = 0.998](https://tex.z-dn.net/?f=P%28X%20%3C%205%29%20%3D%201%20-%20P%28X%20%3D%205%29%20%3D%201%20-%200.002%20%3D%200.998)
0.998*100% = 99.8%
99.8% probability of at least one failure.