Answer:
2/9
Step-by-step explanation:
6/27 = 2/9
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Hi there!

We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.
Answer:
The correct option is:
A. We are 95% confident that the interval from 55.4 seconds to 61.2 seconds actually does contain the true value of μ.
Explanation:
In statistics, confidence interval is the interval estimate about the population parameter of interest at certain level of confidence like 95%. A 95% confidence interval gives us a range of values that we can be 95% confident contains the true mean of the population.
Therefore, the option A is correct
Answer:
<h2>x = 12</h2>
Step-by-step explanation:

First of all multiply through by 5 to eliminate the fraction
That's

Next using the addition property add 4 to both sides of the equation
We have

<u>Divide both sides by 2</u>

We have the final answer as
<h3>x = 12</h3>
Hope this helps you
The mathematical expression in this case is
(x+3)/2