Answer:


Step-by-step explanation:
Data provided
represent the sample mean in mg per deciliter of cholesterol level
represent the sample standard deviation
sample size
represent the value that we want to test
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the mean is higher than 53 mg per deciliter, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
Replacing into the formula we got:
P-value
We need to find first the degrees of freedom:

The p value for this case since we have a right tailed test is:

Answer:
2x(sinx^2 + x^2cosx^2).
Step-by-step explanation:
We use the product rule:
If u and v are functions of x then:-
d(uv)/dx = u dv/dx + v du/dx
So:
d(x^2 sinx^2)dx
= x^2 * d(sinx^2)/dx + sinx^2 * d(x^2)/dx
= x^2 * 2xcosx^2 + sinx^2 * 2x
= 2x^3cosx^2 + 2xsinx^2
= 2x(sinx^2 + x^2cosx^2).
1 radian = 57.3 degrees
60 <span>÷ 57.3 = 1.047
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correct answer: C