11pi/6 is in 4th quadrant.
The reference angle is pi/6 because 11pi/6 is pi/6 radians away from 'x' axis.
In 4th quadrant, sin is negative and cos is positive, therefore tan is negative.
This means:
Answer:
Infinite sequence with terms
or 

Step-by-step explanation:
Consider the pattern

First term of this pattern is
second -
third -
fourth -
fifth -
sixth -
seventh -

This equence is infinite and each next term is obtained from the previous multiplying by ab.
Answer:
5
Step-by-step explanation:
Answer:
y+2 = -1 ( x+4)
Step-by-step explanation:
The y intercept is 2
The slope is found by using two point
( 0,2) and ( 2,0)
m = (y2-y1)/(x2-1)
= ( 0-2)/(2-0)
= -2/2
= -1
The slope is -1 and the y intercept is 2
Using point slope form
y -y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y-y1 = -1(x-x1)
It appears that we are using y1 = -2 so x = 4
y - -2 = -1( x -4)
y+2 = -1 ( x+4)
Answer:
A sample of at least 68 bulbs is needed to be 96% confident that our sample mean will be within 10 hours of the true mean.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin M as such

In which
is the standard deviation of the population and n is the size of the sample.
In this problem, we have that:






A sample of at least 68 bulbs is needed to be 96% confident that our sample mean will be within 10 hours of the true mean.