Answer:
See below
Step-by-step explanation:
The square root of a number is defined as
where
gives the original number. For example,
because
and
.
Answer:
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
Answer:
15.86 inches
Step-by-step explanation:
Area of rectangle = length times width
l = ∛81 inches
w = 3 2/3 inches
= l x w
= ∛81 x 3 2/3
= 15.86 inches
Answer:
0.173 probability that she gets exactly three questions correct.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.
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.
Seven questions:
This means that ![n = 7](https://tex.z-dn.net/?f=n%20%3D%207)
Each question has four choices.
Abby guesses, which means that ![p = \frac{1}[4} = 0.25](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B1%7D%5B4%7D%20%3D%200.25)
Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.
This is P(X = 3).
![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 = 3) = C_{7,3}.(0.25)^{3}.(0.75)^{4} = 0.173](https://tex.z-dn.net/?f=P%28X%20%3D%203%29%20%3D%20C_%7B7%2C3%7D.%280.25%29%5E%7B3%7D.%280.75%29%5E%7B4%7D%20%3D%200.173)
4 because you take 2²= 2 times 2 = 4