The answer for this one is 3/11.
*If you need an explanation, leave a comment down below, and I will give you the explanation.
Answer:
1/36
Step-by-step explanation:
When you roll it the first time, the chances to get a 1 is 1/6.
when you roll it the second time, the chance is still 1/6, but the chance of rolling one twice in a row, is the product of the probabilities:
1/6 * 1/6 = 1/36
Solution :
Here we can use the Binomial distribution, as there are only two possible outcomes.
The given data:
n = 150
q = 98%
= 0.98
p = probability of not finding relief = 1 - 0.98
= 0.02
A). The number of the individuals who do not find any relief from sinusitis is :
E(x) = np
= 150 x 0.02
= 3
B). The uncertainty of my estimate is = 

= 1.716
This problem is already a bit more simple since they give you the amount of fabric per sock. Now, to solve, you will want to divide 9 3/4 by 5/6. However, if you don't have a calculator, it's rather inconvenient to solve with a fraction, so convert the fraction to a decimal, which should leave you as 9.75 divided by .83333333. Your final answer should be somewhere around 11.7 socks. Since you can't make 7/10 of a sock, your answer should be around 11 socks.
Answer:
2√61/19
Step-by-step explanation:
sin^2 x = 1 - cos^2 x
= 1 - (3√13/ 19)^2
= 1 - 117/361
= 244/361
sin x = √244/19
= 2√61/19.