Answer:
![P[at\ least\ 1] = 0.9961](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%200.9961)
Step-by-step explanation:
Given
Required
Probability that s/he gets at least one correctly
First, we calculate the probability of answering a question correctly
Since, there are just 2 choices (true or false), the probability is:
Similarly, the probability of answering a question, wrongly is:
The following relationship exists, in probability:
![P[at\ least\ 1] = 1 - P[none]](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%201%20-%20P%5Bnone%5D)
So, to calculate the required probability.
First, we calculate the probability that he answers none of the 8 questions correctly.
![P[none] = p(wrong)^8](https://tex.z-dn.net/?f=P%5Bnone%5D%20%3D%20p%28wrong%29%5E8)
![P[none] = (\frac{1}{2})^8](https://tex.z-dn.net/?f=P%5Bnone%5D%20%3D%20%28%5Cfrac%7B1%7D%7B2%7D%29%5E8)
Substitute in
![P[at\ least\ 1] = 1 - (\frac{1}{2})^8](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%201%20-%20%28%5Cfrac%7B1%7D%7B2%7D%29%5E8)
![P[at\ least\ 1] = 1 - \frac{1}{256}](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%201%20-%20%5Cfrac%7B1%7D%7B256%7D)
Take LCM
![P[at\ least\ 1] = \frac{256 - 1}{256}](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%20%5Cfrac%7B256%20-%201%7D%7B256%7D)
![P[at\ least\ 1] = \frac{255}{256}](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%20%5Cfrac%7B255%7D%7B256%7D)
<em></em>
<em>Hence, the probability that s/he gets at least one correctly is 0.9961</em>
Answer:
Do I do the answer in standard form or the question #
So 6 is in the range of of the first equation so you substitute it there.
f(6) = 6(6)^2 + 2
6(36) + 2
216 + 2
218
The answer is a hopes this helps
can i get brainlesit
The ratio of the sides will be constant. Then the value of the length of line segment SA will be 3 ft.
The missing diagram is given below.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangles ΔABC and ΔSBT are the similar triangles.
Then the ratio of the sides will be constant.
BS / SA = BT / TC
10 / SA = 9 / 2.7
SA = 3
Then the value of the length of line segment SA will be 3 ft.
More about the triangle link is given below.
brainly.com/question/25813512
#SPJ1
