3x=9 solve for x show work
2 answers:
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Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0)
- Parallel lines always have the same slope
<u>1) Determine the slope (m)</u>
In the given equation, is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of
. Plug this into
:
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (-6,-29) and solve for b
Simplify -6 and 2
Add 15 to both sides to isolate b
Therefore, the y-intercept is -14. Plug this back into :
I hope this helps!
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