Rewrite the given y – 8 = 1/2(x – 4), replacing "y" with "f(x)."
Then f(x) – 8 = 1/2(x – 4)
Multiply all 3 terms by 2 to eliminate the fraction (1/2):
2f(x) = 16 + x - 4
Combine like terms: 2f(x) = x + 12
x + 12
Divide both sides by 2: f(x) = -----------
2
Note that this is equivalent to f(x) = (1/2)x + 6. Important: Use parentheses as indicated.
Given that the diagram shows the location of John and Mark in relationship to the top of the building labeled A, then:
a]
∠4 is the angle of elevation as seen by Mark from his location. It is the angle between the horizontal and the line from the object to the observer's eyes.
b]
∠3 is the angle of depression and it is congruent to the angle 5, which is the angle of elevation as seen by John from his location.
Using the uniform distribution, we have that:
a) The density curve is given at the end of this question.
b) 16.67% of the time does a customer have to wait between 100 and 120 seconds.
-----------------
The uniform distribution has two bounds, a and b, and the probability of finding a value between c and d is given by:
- Uniform distribution on the interval of 0 to 120 seconds, thus
.
The proportion between 100 and 120 seconds is:
0.1667*100% = 16.67%
16.67% of the time does a customer have to wait between 100 and 120 seconds.
A similar problem is given at brainly.com/question/15855314
Answer:
y=5 and x=4
Step-by-step explanation:
So,the diagonals of a parallelogram bisect each other..
therefore,we have our two eqn
4x-2=3y-1------------(i)
3y-3=3x
or,y-1=x----------(ii)
Now,simply substitute value of x in eqn (i)
4(y-1)-2=3y-1
or,4y-4-2=3y-1
or,y=5
Again,substitute y=5 in eqn (ii)
5-1=x
therefore,
x=5
Hope it helps you!!!
