Answer:
The Probability = 0.20
Step-by-step explanation:
From the question stated, the first step to take is to find probability that an employee selected at random will need either eyeglasses or major dental work
Solution
Given
Now,
The exams showed tha the number of employees needed eyeglasses = 8%
Employees that needed major dental work = 15%
Employees that needed both eyeglasses and major dental work =3%
Thus,
The P(needed eyeglasses ) = 8% = 0.08
P(major dental work) = 15% = 0.15
P(eye glasses and major dental work) = 3% = 0.03
The probability that an employee selected at random will need either eyeglasses or major dental work is given as
= P(eye glasses ) + P(major dental work) - P(eyeglasses and major dental work)
= 0.08 + 0.15 - 0.03 = 0.20
Therefore the Probability = 0.20
well, the sequence goes, 1100, to 1135, to 1170.... notice, is simply adding 35 to get the next term, so the common difference is 35, and the first term is 1100 of course.
![\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=1100\\ d=35\\ a_n=3725 \end{cases} \\\\\\ 3725=1100+(n-1)35\implies 3725=1100+35n-35 \\\\\\ 3725=1065+35n\implies 2660=35n\implies \cfrac{2660}{35}=n\implies 76=n](https://tex.z-dn.net/?f=%5Cbf%20n%5E%7Bth%7D%5Ctextit%7B%20term%20of%20an%20arithmetic%20sequence%7D%0A%5C%5C%5C%5C%0Aa_n%3Da_1%2B%28n-1%29d%5Cqquad%0A%5Cbegin%7Bcases%7D%0An%3Dn%5E%7Bth%7D%5C%20term%5C%5C%0Aa_1%3D%5Ctextit%7Bfirst%20term%27s%20value%7D%5C%5C%0Ad%3D%5Ctextit%7Bcommon%20difference%7D%5C%5C%5B-0.5em%5D%0A%5Chrulefill%5C%5C%0Aa_1%3D1100%5C%5C%0Ad%3D35%5C%5C%0Aa_n%3D3725%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0A3725%3D1100%2B%28n-1%2935%5Cimplies%203725%3D1100%2B35n-35%0A%5C%5C%5C%5C%5C%5C%0A3725%3D1065%2B35n%5Cimplies%202660%3D35n%5Cimplies%20%5Ccfrac%7B2660%7D%7B35%7D%3Dn%5Cimplies%2076%3Dn)
Step-by-step explanation:
For this Q, you should draw a triangle to help you with the values.
cos x =
csc x =
tan x = sin x/ cos x
= 1
cot x = 1
sec x =
x = 45 degrees
7/4pi multiplied by 180/pi give you about 97 degrees when you calculate it.
Answer:
3 pages per minute
Step-by-step explanation: hope this helps.
