Answer:
all real numbers
Step-by-step explanation:
The domain is the input values
All values for x are valid as inputs to the function
2a+4(7+5a)
Distribute 4 into 7 and 5a
2a+28+20a
Combine like terms
Final Answer: 22a+28
Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:
d. 68.39%.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
In this problem, we have a 99% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 2.575.
The sample size and estimate are given by:

Hence, the lower bound is given by:

Hence the lower bound is of 68.39%, which means that option D is correct.
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ1
Step-by-step explanation:
Let x represent theta.

Using the angle addition trig formula,



Multiply one side at a time
Replace theta with x , the answer is

2. Convert 30 degrees into radian

Using tangent formula,


Tan if pi/6 is sqr root of 3/3

Since my phone about to die if you later simplify that,
you'll get

Replace theta with X.
Answer:
The answer is 
Step-by-step explanation:
We have to:

So, if we take the 60 degree angle of the smallest triangle, we have to:

We do not know x. But if we take the sine of the angle of 30 degrees and the main triangle we have:

Then:


