Answer:
E.) 1
Step-by-step explanation:
Firstly we will solve for L.H.S.
L.H.S. =
Since we know that
is the inverse of
.
So we can say that;

Now For R.H.S.

Since we can rewrite
as
.
Now we can say that the R.H.S. is;

Now we add the fraction and get;

Now according to trigonometric identity;

So, 
Here,
and
=
<em> </em>
L.H.S. = R.H.S.
Hence 
Answer:
0.24930286...
Step-by-step explanation:
So you have the ratio of 9:2.
The video has 18 thumbs up votes with the ratio being thumbs up to thumbs down.
9 in relation to 18 is times 2 so it makes since to times 2 by 2.
Therefore the ratio would be 18:4 which means there would be 4 thumbs down.
Answer:
The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.
Step-by-step explanation:
Given the survey, the prevalence of the flu, as a percentage, is given by:
Number of individuals diagnosed with flu, multiplied by 100, and divided by the size of the sample.
In this question, we have that:
Sample of 25,000, and 4,250 of those had been diagnosed with the flu at some point in the past year. So, the prevalence of the flu is given by:

The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.

First, subtract '11' from each side.

Second, subtract '29 - 11' to get '18'.

Third, since we are solving for f, we have to get it by itself. Multiply each side by 'f'.

Fourth, once again, we need to get 'f' alone. Divide both sides by 18.

Fifth, now that we have 'f' by itself, we can simplify the current fraction. To do so, we need to start off with listing the factors of 4 and 18 and find the greatest common factor (GCF).
Factors of 4: 1, 2, 4
Factors of 18: 1, 2, 3, 6, 9, 18
Out of the listed factors, 1 and 2 are the common factors, and since 2 is the highest number out of them, it is considered the greatest common factor. The GCF is 2.
Sixth, divide the numerator and denominator by the GCF (2).

Seventh, we can now rewrite our fraction in simplest form and switch sides.

Answer in fraction form:

Answer in decimal form: