Step-by-step explanation:
Sin^2 (x) * Cos^2 (x) = {[1 - cos (2x)]/2}*{[1 + cos (2x)]/2}
Sin^2 (x) * Cos^2 (x) =[ 1 - cos^2 (2x)]/4
Sin^2 (x) * Cos^2 (x) = (1/4) - (1/4) * cos^2 (2x)
Sin^2 (x) * Cos^2 (x) = (1/4) - (1/4) * {[1 + cos (2*2x)]/2}
Sin^2 (x) * Cos^2 (x) = (1/4) - (1/8) * [1 + cos (4x)]
Sin^2 (x) * Cos^2 (x) = (1/4) - (1/8) - (1/8)* [cos (4x)]
Sin^2 (x) * Cos^2 (x) = (1/8) - (1/8)* [cos (4x)]
Answer:
-30/7 = x
Step-by-step explanation:
im guessing u mean (3x+5)/(2x+7) = 5
3x+5 = 5(2x+7)
3x+5=10x+35
-7x=30
x= -30/7
Answer:
Step-by-step explanation:
Given : In a state where license plates contain six digits.
Probability of that a number is 9 = [Since total digits = 10]
We assume that each digit of the license number is randomly selected .
Since each digit in the license plate is independent from the other and there is only two possible outcomes for given case (either 9 or not), so we can use Binomial.
Binomial probability formula:
, where n= total trials , p = probability for each success.
Let x be the number of 9s in the license plate number.
Then, the probability that the license number of a randomly selected car has exactly two 9's will be :
Hence, the required probability = 0.098415
The answer for this question is 0.76
Hope this helped
Answer:
- <u><em>The solution to f(x) = s(x) is x = 2012. </em></u>
Explanation:
<u>Rewrite the table and the choices for better understanding:</u>
<em>Enrollment at a Technical School </em>
Year (x) First Year f(x) Second Year s(x)
2009 785 756
2010 740 785
2011 690 710
2012 732 732
2013 781 755
Which of the following statements is true based on the data in the table?
- The solution to f(x) = s(x) is x = 2012.
- The solution to f(x) = s(x) is x = 732.
- The solution to f(x) = s(x) is x = 2011.
- The solution to f(x) = s(x) is x = 710.
<h2>Solution</h2>
The question requires to find which of the options represents the solution to f(x) = s(x).
That means that you must find the year (value of x) for which the two functions, the enrollment the first year, f(x), and the enrollment the second year s(x), are equal.
The table shows that the values of f(x) and s(x) are equal to 732 (students enrolled) in the year 2012,<em> x = 2012. </em>
Thus, the correct choice is the third one:
- The solution to f(x) = s(x) is x = 2012.