Answer: Choice B. sqrt(2)
Draw out a right triangle in quadrant IV as you see in the attached image below. The horizontal and vertical legs are both 1 unit long. To ensure that the signs are properly set up, I am making the vertical leg BC have a label "-1" to mean this is below the x axis. Note how
tan(theta) = opposite/adjacent = BC/AB = -1/1 = -1
Use the pythagorean theorem to find that the hypotenuse AC is sqrt(2) units long
a^2 + b^2 = c^2
(1)^2 + (1)^2 = c^2
2 = c^2
c^2 = 2
c = sqrt(2)
The secant of theta is the ratio of the hypotenuse over the adjacent side, so we end up with
sec(theta) = hypotenuse/adjacent
sec(theta) = AC/AB
sec(theta) = sqrt(2)/1
sec(theta) = sqrt(2) which is why choice B is the answer
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The probability of the device failing during the warranty period is 
The sample size is 
The random variable considered is x = 15
Generally this is distribution is binomial given the fact that there is only two out comes hence
X which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e
Now the mean is mathematically evaluated as
=> 
=> 
The standard deviation is mathematically represented as
=> 
=> 
Now given that n is very large, then it mean that we can successfully apply normal approximation on this binomial distribution
So
Now applying Continuity Correction we have
Generally 
From the z-table
Thus
Step-by-step explanation:
can you clarify more please i cant help you answer this question
Answer:
Options (a) and (c)
Step-by-step explanation:
There are so many inequalities graphed in the picture attached.
Common area (Triangle shown in the center) of the shaded regions will be the solution of the system of inequalities.
And points lying in this common region will be the solutions.
Points lying in this region are (0, -1) and (0, 0).
Therefore, Options (a) and (c) are the solutions.
Answer:
56 feet
Step-by-step explanation:
Perimeter is what the sum of all sides lengths of a polygon is. So if the retangle measures 13x15 feet, the perimeter would be 13+13+15+15. Because the 13x15 is only two sides, and a retangle has 4 sides. So we need to incorperate the other two sides, which are the same as the others because it is a retangle.
Hope this helps!
