Answer:
Parallel
Step-by-step explanation:
-x+6 slope:-1
X+y=20 slope -1
Hence the answer is parallel
Answer:
option A
Step-by-step explanation:
∠WPS +∠OPW = 180 {straight line}
∠WPS +110 = 180
∠WPS = 180 - 110
∠WPS = 70°
∠RWQ + ∠QWT +∠TWU = 180 {straight line}
∠RWQ + 60 + 50 = 180
∠RWQ + 110 = 180
∠RWQ = 180 - 110
∠RWQ= 70°
∠PWU + ∠USP + ∠ WPS = 180 {angle sum property of triangle}
∠PWU + 40 + 70 = 180
∠PWU + 110 = 180
∠PWU = 180 - 110
∠PWU = 70°
Answer: Circumcenter
Step-by-step explanation: The circumcenter is the point where all perpendicular bisectors of a triangle meet. The 3 perpendicular bisectors of the 3 sides of the triangle meet at the point which is labeled in this triangle as H.
Answer:
The 75th percentile of this distribution is 11 .25 minutes.
Step-by-step explanation:
The random variable <em>X</em> is defined as the waiting time in line at an ice cream shop.
The random variable <em>X </em>follows a Uniform distribution with parameters <em>a</em> = 3 minutes and <em>b</em> = 14 minutes.
The probability density function of <em>X</em> is:
The <em>p</em>th percentile is a data value such that at least p% of the data-set is less than or equal to this data value and at least (100-p)% of the data-set are more than or equal to this data value.
Then the 75th percentile of this distribution is:
Thus, the 75th percentile of this distribution is 11 .25 minutes.
Let,the time taken by larger pipe = x
By smaller pipe = x+5
It would be: 1/x + 1/(x+5) = 9/100
= x+5+x /(x)(x+5) = 9/100
= 2x+5 / x²+5x = 9/100
= 100(2x + 5) = 9(x² + 5x)
= 200x + 500 = 9x² + 45x
= 9x² - 155x - 500 = 0
= 9x² - 180x + 25x - 500 = 0
= 9x(x - 20) + 25(x - 20) = 0
= (9x + 25) (x - 20) = 0
= x = -25/9 or x = 20
Time can't be in negative so -25/9 is rejected.
Now,x + 5 = 20 + 5 = 25
In short, Your Larger pipe takes 20 minutes and smaller pipe takes 25 minutes
Hope this helps!
