The product of trigonometric functions can be converted into sum ans vice versa. The given function is a product and we can convert it to a sum.One way is to expand the given expression and simplify it to find the result.
The second and easier option is to just remember the formulas of product to sum conversion identities. The 4 formulas for this case are listed below in the image.
Since we have the product of cos and sin, the sum will involve two sine functions connected by addition.
So the correct answer is option A
Answer:
The answer to your question is F = 78.8
Step-by-step explanation:
Equation

Multiply both sides by 9

Simplify

Divide both sides by 5

Simplify

Add 32 in both sides

Simplify (Inverse)

Substitute to find F

Simplify
F = 46.8 + 32
Result
F = 78.8
Answer:
B. 1:2800
Step-by-step explanation:
448 / .16 = 2800
1:2800
Feel free to let me know if you need more help! :)
Answer:
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For proportions, the mean is
and the standard deviation is 
In this problem, we have that:
.
So


The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.