Answer:
262144
Step-by-step explanation:
its exponents
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)
The formula to find the measure of an interior angle is
![(n - 2) * 180/n](https://tex.z-dn.net/?f=%28n%20-%202%29%20%2A%20180%2Fn)
, where
![n](https://tex.z-dn.net/?f=n)
represents the number of sides in the polygon. In this problem,
![n](https://tex.z-dn.net/?f=n)
would represent
![3](https://tex.z-dn.net/?f=3)
.
Let's plug in the value for
![n](https://tex.z-dn.net/?f=n)
![(3 - 2) * 180/3](https://tex.z-dn.net/?f=%283%20-%202%29%20%2A%20180%2F3)
Let's simplify that.
![=60](https://tex.z-dn.net/?f=%3D60)
Now we know that the <span>measure of an interior angle of a regular three-sided polygon is 60</span>°.
Your answer would be B!Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
Answer:
what? I don't understand lol
Answer:
He can buy 6 bagels.
Step-by-step explanation:
In order to figure out how much each bagel is, you need to divide $3.00 by 4. This gives you .75 because 3.00/4=75. Each bagel is therefore $0.75. Now, in order to find how many bagels you can buy with $4.50, you have to divide 4.50 by 0.75. The equation is 450/75=6. You can buy 6 bagels with $4.50.
Let me know if you need any more help. Have a nice day. :)