You want y? One way to get y alone would be to mult. all 3 terms by (7/5):
(7/5)(5/7)y = (7/5)*3 - (7/5)(-1/5). This simplifies to:
y = 21/5 * 7/25, or y = 147 / 125.
You could check this using decimal fractions:
y = 4.20 * 0.28 = 1.176 = 147 / 125.
Angular acceleration is change of angular velocity over time:
α = 5 / 8 = 0.625 rev / s²
Number of revolutions of the 1st part:
α · t² /2 = 0.625 * 8² / 2 = 20 rev.
The 2nd part:
α = 5/12 = 0.41667 rev/s²
5 * 12 - ( 0.41667 * 12² / 2 ) = 60 - 30 = 30 rev.
In total: 20 + 30 = 50 revolutions
Answer:
Prof B and Prof D
Step-by-step explanation:
Step-by-step explanation:
From the question we are told that
Sample size 100
Instructor Number of Failures
Prof. A 13
Prof. B 0
Prof. C 11
Prof. D 16
Confidence level= 0.95
From Z table
Z=1.96
Generally proportion for failure is mathematically given as
For Prof A
For Prof B
For Prof C
For Prof D
Generally the average proportional failure is mathematically given as
Therefore having this we calculate for the control limits
Generally the upper control limit UCl is mathematically given as
Upper control limits:
Generally the upper control limit UCl is mathematically given as
Lower limit control limits:
Therefore the Range is 0.0412 to 0.1588
Given the range 0.0412 to 0.1588 Prof B and Prof D are outside the Range making them the correct options
Answer:
There is a hole at x = 3 and an asymptote at x = –1.
Step-by-step explanation:
f(x) = (x-3)/(x²-2x-3)
f(x) = (x-3)/(x-3)(x+1) = 1 / x+1 (x=3 is a hole)
asymptote while x+1 --> 0 and f(x) -->∞
x = -1 is vertical asymptote
(-1,-2) would result in a relation that is no longer a function.
In the table, there's already x = -1 and y = -4. Function only gives a single y-value with x-value. If a single x-value gives two y-values then it'd not be Function.
If we add (-1,-2) in the table. The domain will be repetitive. Basically, we already have (-1,-4) and if we add (-1,-2) in the table, a single x-value will give TWO y-values which is not a function.