Answer:
<h2>One solution.</h2>
Step-by-step explanation:
The given question is
<em>Does the following system have One Solution, No Solution, or Infinite Solutions.
</em>
<em />
<em />
<em />
<em />
To solve this system, we just need to multiply the first equation by -1, and then sum those equations.
Then, we use this value to find the other one
As you can observe, the system of equations have a unique solution.
Therefore, the answer is one solution.
Answer: The flagpole is about 22.3 feet tall.
This is roughly the size of a two story building, assuming each floor is 10 feet or so.
Since this height is under 25 ft, this flagpole is in compliance with the regulation.
=====================================================
Work Shown:
The horizontal leg of the triangle is 36 ft. This is the adjacent leg to the reference angle 25 degrees.
The vertical leg of the triangle is x-5.5, and this leg is the opposite side to the reference angle 25 degrees.
Use the tangent rule to connect the opposite and adjacent sides.
Solve for x.
tan(angle) = opposite/adjacent
tan(25) = (x-5.5)/36
36*tan(25) = x-5.5
x-5.5 = 36*tan(25)
x = 36*tan(25)+5.5
x = 22.28707569358
x = 22.3 ft is the approximate height of the flagpole
Make sure your calculator is in degree mode.
The height is not over 25 ft, so this flagpole meets the requirements.
Answer:
4
Step-by-step explanation:
He should add 4 black blocks because there are a total of 4 other blocks, and in order to have a probability of 50%, the number of black blocks needs to be equal to the total number of the other colored blocks.
Answer:
B
Step-by-step explanation:
They are increasing by 1 vertically. Hope this helps!! :)
Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
Let X the random variable that represent the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. We know that 
The probability mass function for the random variable is given by:
And f(x)=0 for other case.
For this distribution the expected value is the same parameter 
, 
, 
a. Compute both P(X≤4) and P(X<4).
Using the pmf we can find the individual probabilities like this:
b. Compute P(4≤X≤ 8).
c. Compute P(8≤ X).
d. What is the probability that the number of anomalies exceeds its mean value by no more than one standard deviation?
The mean is 4 and the deviation is 2, so we want this probability
