Answer: 0.9730
Step-by-step explanation:
Let A be the event of the answer being correct and B be the event of the knew the answer.
Given: 


If it is given that the answer is correct , then the probability that he guess the answer 
By Bayes theorem , we have


Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.
Answer: 306 inches or 25.5 feet or 8.5 yards.
Step-by-step explanation:
Given: Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon.
1 feet = 12 inches
length of ribbon Tino has = 12 x 7.5 = 90 inches
1 yard = 36 inches
length of ribbon Baxter has = 3.5 x 36 = 126 inches
Total ribbon they have = (length of ribbon Carol has) + (length of ribbon Tino has) + (length of ribbon Baxter has)
= (90+90+126) inches
= 306 inches
In feet , Total ribbon =
![[\text{ 1 inch}=\dfrac{1}{12}\text{ feet}]](https://tex.z-dn.net/?f=%5B%5Ctext%7B%201%20inch%7D%3D%5Cdfrac%7B1%7D%7B12%7D%5Ctext%7B%20feet%7D%5D)

In yards, Total ribbon =
![[\text{1 feet}=\dfrac{1}{3}\text{ yard}]](https://tex.z-dn.net/?f=%5B%5Ctext%7B1%20feet%7D%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctext%7B%20yard%7D%5D)

Hence, the total length of ribbon the three friends have is 306 inches or 25.5 feet or 8.5 yards.
Easily, take the square root of the number in the right side to find the radius

is the answer
There are 168 hours in one week.
Hope this helps! >.<
Answer:
Interest rate is about 12.246%
The initial deposit doesn't matter because when you divide both sides by the initial deposit you're always left with (1+i)ⁿ=2
Step-by-step explanation:
![4000(1+i)^6=8000\\(1+i)^6=2\\1+i=\sqrt[6]{2} \\1+i=1.122462048\\i=.12246](https://tex.z-dn.net/?f=4000%281%2Bi%29%5E6%3D8000%5C%5C%281%2Bi%29%5E6%3D2%5C%5C1%2Bi%3D%5Csqrt%5B6%5D%7B2%7D%20%5C%5C1%2Bi%3D1.122462048%5C%5Ci%3D.12246)