I am pretty sure that the answer is
11.61
Answer:
1.) - 1/2
2.) the slope is 0 which means it is a vertical line
Step-by-step explanation:
In order to solve this you take the formula
y-y / x-x
and put they y value and x value of each equation in
We are asked in the problem to evaluate the integral of <span>(cosec^2 x-2005)÷cos^2005 x dx. The function is an example of a complex function with a degree that is greater than one and that uses special rules to integrate the function via the trigonometric functions. For example, we integrate
2005/cos^2005x dx which is equal to 2005 sec^2005 x since sec is the inverse of cos. The integral of this function when n >3 is equal to I=</span><span>∫<span>sec(n−2)</span>xdx+∫tanx<span>sec(n−3)</span>x(secxtanx)dx
Then,
</span><span>∫tanx<span>sec(<span>n−3)</span></span>x(secxtanx)dx=<span><span>tanx<span>sec(<span>n−2)</span></span>x/(</span><span>n−2)</span></span>−<span>1/(<span>n−2)I
we can then integrate the function by substituting n by 3.
On the first term csc^2 2005x / cos^2005 x we can use the trigonometric identity csc^2 x = 1 + cot^2 x to simplify the terms</span></span></span>
Answer:
The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).
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
z is the zscore that has a pvalue of
.
In the survey on 200 managers, 58% of the managers have caught salespeople cheating on an expense report.
This means that 
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).
Answer: x = 2.8283
Step-by-step explanation:
pythagorean theory or sohcahtoa or sin law
T = 60' and T = 45': S = 90' : T = 45' : R = 90'
t = 3.464
sin law (i can't rlly show u)
q = 3.99
if u don't know what q is, it is the length of the middle line also known as RT
then u do
180 - 45 - 90 = Q
45 = Q
with 45 we can do sin law again
x = 2.8283 is the length of x