The order of operations is:
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
So division comes first:
Now subtraction:
Answer:
x= 30 degrees
Step-by-step explanation:
This is an isosceles triangle as indicates by the lines on the sides.
Since the sides lengths are equal, the base angles are equal
x= 30 degrees
The answer is 5/12 because 1/6 converts to 2/6 and 7/12-2/6 is equal to 5/12
Using the Central Limit Theorem, it is found that the mean of the sampling distribution of sample proportions is 0.37.
The <em>Central Limit Theorem</em> establishes that, for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has:
- Mean
.
- Standard error
For this problem, about 37% of high school seniors have vaped in the past year, hence 
.
- Then, the mean of the sampling distribution of sample proportions is 0.37.
For more on the Central Limit Theorem, you can check brainly.com/question/4086221
We proved that formula using the trigonometry relations sin3A + sinA = 4sinAcos^2A.
In the given question,
We have to prove the formula sin 3A+sin A = 4sinAcos^2A
The given expression is sin 3A+sin A = 4sinAcos^2A
To prove the formula we take the left side terms to the right side terms
The left side is sin 3A+sin A.
As we know that sin 3A = 3sinA − 4sin^3A
To solve the left side we put the value of sin 3A in sin 3A+sin A.
=sin 3A+sin A
=3sinA − 4sin^3A+sin A
Simplifying
= (3sinA+sin A) − 4sin^3A
= 4sinA − 4sin^3A
Taking 4sinA common from both terms
= 4sinA(1 − sin^2A)
As we know that cos^2A=1 − sin^2A. So
= 4sinAcos^2A
We proved the right hand side.
To learn more about formula of trigonometry terms link is here
brainly.com/question/15270423
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