Answer:
The vertex form for a parabola is given by this expression:
By direct comparison we see that for this case:
And we know from the general expression that the vertex is:
So then the vertex for this case is:
Step-by-step explanation:
For this case we have the following function:
And we need to take in count that the vertex form for a parabola is given by this expression:
By direct comparison we see that for this case:
And we know from the general expression that the vertex is:
So then the vertex for this case is:
Answer:
0.4546
Step-by-step explanation:
nCr = n!/(n-r)!r!
Number of ways of selecting the four defective voltage regulators from 12 = 12C4 = 12!/(12-4)!4! = 12!/8!4! = (12 *11*10*9)/(4*3*2*1)
12C4 = 495 ways
Number of ways of selecting 2 defectives from line 1 = 6C2 * 6C2
6C2 = 6!/(6-2)!2! = 6!/4!2! = (6*5)/(2*1) = 15
6C2 * 6C2 = 15*15 = 225 ways
Probability = Number of possible outcomes/ Number of total outcomes
Probability that exactly 2 of the defective regulators came from line 1 = 225/40.95 = 0.4546
Answer:
Percentual change= 33.33% decrease
Step-by-step explanation:
Giving the following information:
Present value (PV)= $150
Future value (FV)= $100
<u>To calculate the percentual change, we need to use the following formula:</u>
Percentual change= [(PV - FV) / PV]*100
Percentual change= [(150 - 100) / 150]*1''
Percentual change= 0.3333*100
Percentual change= 33.33% decrease
Answer:
equation: a/.5b=h
h=9
Step-by-step explanation:
a=1/2bh
divide both sides by 1/2b to get h alone
a/.5b=h
a/.5b=h
54/0.5(12)=h
54/6=h
9=h
Answer:
If both dimensions are being multiplied by three than the area will be 9 times the original.
If only one side is being multiplied by tree, the area will be 3 times the original
