Answer:
a. .0554
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.
The probability of success is .06.
This means that ![p = 0.06](https://tex.z-dn.net/?f=p%20%3D%200.06)
What is the probability of two successes in seven trials?
This is P(X = 2) when n = 7. So
![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 = 2) = C_{7,2}.(0.06)^{2}.(0.94)^{5} = 0.054](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%20C_%7B7%2C2%7D.%280.06%29%5E%7B2%7D.%280.94%29%5E%7B5%7D%20%3D%200.054)
The correct answer is given by option a.
Answer:
The answer is
<h2>134 ft³</h2>
Step-by-step explanation:
Volume of a hemisphere is given by
![V = \frac{2}{3} \pi {r}^{3}](https://tex.z-dn.net/?f=V%20%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20%20%7Br%7D%5E%7B3%7D%20)
where
r is the radius of the hemisphere
From the question
diameter = 8 ft
radius = 8/2 = 4 ft
Substitute the value into the above formula and solve
![V = \frac{2}{3} ( {4})^{3} \pi \\ = \frac{2}{3} \times 64\pi8 \\ = \frac{128\pi}{3} \: \: \: \: \: \: \: \\ = 134.0412](https://tex.z-dn.net/?f=V%20%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20%28%20%7B4%7D%29%5E%7B3%7D%20%5Cpi%20%5C%5C%20%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20%20%5Ctimes%2064%5Cpi8%20%5C%5C%20%20%3D%20%20%5Cfrac%7B128%5Cpi%7D%7B3%7D%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%20%5C%5C%20%20%3D%20134.0412)
We have the final answer as
<h3>134.0 ft³ to the nearest tenth</h3>
Hope this helps you
Answer:
A. Representative
Step-by-step explanation:
The sample is a subset of the population. We take samples because it is easy to analyze samples as compared to population and it is less time taken. Further, Sample is said to be good if the sample is the representative of the population.
Simple Random Sampling is the sampling where samples are chosen randomly, where each unit has an equal chance of being selected in a sample.
Since, observer is taken the weight of men over age 18. Thus, it is good sample which represent whole population.
Answer:
Jerry's weight is 36kg and tom's weight is 66kg
Step-by-step explanation:
According to the given condition:
Let,tom's weight =x
Jerry's weight=y
So,
X=2y-6 ---(1)
X+y=102-----(2)
Put value of x from eq 1 in 2
2y-6+y=102
3y-6=102
3y=102+6
3y=108
Y=108/3=36
Jerry's weight is 36.
Put value of y in eq 1
X= 2(36) -6
X=72-6
X=66
So, Tom's weight is 66kg