Looking through my old calc notes, I am reading that f(x) needs to be continuous on [a,b] and f ' (x) also needs to be continuous on [a,b]. Both conditions are needed. If you had to pick just one, then I'd say f(x) being continuous is much more important. Though I'm not 100% sure on this one. My thinking is that if there was any discontinuities on f(x), then the arc length would be distorted and overblown. The arc length should not account for any piece that isn't on the curve.
The <em>cost of the jacket</em> purchased using the <em>System of equation</em> is $46.16
<u>Given the cost prices</u> :
- Total cost = $95.11
- Cost of shoes = x
- Cost of jacket = x - 2.79
<u>We could set up an equation relating the cost of each item to the total Cost : </u>
<em>Total cost = cost of jacket + cost of shoes</em>
95.11 = x - 2.79 + x
95.11 = 2x - 2.79
95.11 + 2.79 = 2x
97.90 = 2x
x = 97.90 / 2
x = 48.95
Cost of jacket = $48.95 - 2.79 = $46.16
Therefore, Cost of jacket is $46.16
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Step-by-step explanation:
X = 50
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Answer:
x = -2, y = 3.
as an ordered pair it is (-2, 3).
Step-by-step explanation:
y= 2x + 7
y= -4x - 5
As both right hand expression are = y we have:
2x + 7 = -4x - 5
6x = -12
x = -2
Substitute for x in equation 1:
y = 2(-2) + 7 = 3.
Answer:
Correct option: A. P=0.057
Step-by-step explanation:
<u>Binomial Distribution</u>
The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.
The PMF (Probability Mass Function) of the binomial distribution is
Where 
The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is
