Step-by-step explanation:
sin(x) = M, M > 0
= sin(x - π)
= sin(x)cos(π) - cos(x)sin(π)
= sin(x).(-1) - cos(x).0
= -sin(x) - 0
= -sin(x)
= -M
Answer:
90 units²
Step-by-step explanation:
The rectangular figure is 10 units wide (from -4 to +6) and 9 units high (from -4 to +5), so its area is 10·9 = 90 square units.
3x + 4y = - 8
The equation of a line in standard form is Ax + By = C
where A is a positive integer and B, C are integers
Express the line in ' slope- intercept form '
y = mx + c → (m is the slope and c is the y-intercept)
here m = -
and c = - 2
hence y = -
x - 2 → equation in slope- intercept form
multiply all terms by 4
4y = - 3x - 8
add 3x to both sides
3x + 4y = - 8 → in standard form
B + (-2) = 0
Here, we need to do the inverse operation, and apply it to BOTH sides of teh equation.
b -2 = 0
+2 +2
b = 2
Now we have our answer, b = 2
Final answer: b = 2
Answer:
The 99% confidence interval is
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The sample mean is 
The population standard deviation is
From the question we are told the confidence level is 99% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally the margin of error is mathematically represented as

=>
Generally 95% confidence interval is mathematically represented as
=>
=>