Step-by-step explanation:
To prove :
( 1 - sin x ) ( 1 + sin x ) = sec² x
LHS : -
( 1 - sin x ) ( 1 + sin x )
Formula / Identity : -
( a - b ) ( a + b ) = a² - b²
Here,
a = 1
b = sin x
( 1 - sin x ) ( 1 + sin x )
= 1 - sin² x
Identify : -
sin² θ + cos² θ = 1
cos² θ = 1 - sin² θ
Similarly,
1 - sin² x
= cos² x
= RHS
Hence verified.
.............................................your answer is 16
Don’t you have to flip the sign when you divide by a negative? So I think she’s wrong bc the answer should be d is less than or equal to 7.5
Answer:

Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
is the estimate
z is the zscore that has a pvalue of
, also called the critical value.
The standard error is:

90% confidence level critical value
So
, z is the value of Z that has a pvalue of
, so
.
Estimate:
72 petty theft cases and finds 45 of these have gone unsolved.
So 
Standard error:

Answer:

91 = 7*13 is a composite number. It has factors other than itself and 1.