Answer:
Step-by-step explanation:
So we have the equation:
First, distribute the 7 into the (x+8) and simplify:
Combine the like terms 7x and 8x by adding them together:
Subtract 56 from both sides to isolate the x:
Divide both sides by 15 to get x:
The derivative of the function f is given by f′(x)=−3x+4 for all x, and f(−1)=6. Which of the following is an equation of the li
1 answer:
Answer:
You are correct. The answer is
Step-by-step explanation:
First, we need to plug in our x value to the derviative's equation to find the slope of the line tangent to the graph, f
Now that we have found the slope and have a given point: (-1,6) we can use the point slope formula to find the equation of the line tangent to the graph f.
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Answer:
a. P(x = 0 | λ = 1.2) = 0.301
b. P(x ≥ 8 | λ = 1.2) = 0.000
c. P(x > 5 | λ = 1.2) = 0.002
Step-by-step explanation:
If the number of defects per carton is Poisson distributed, with parameter 1.2 pens/carton, we can model the probability of k defects as:
a. What is the probability of selecting a carton and finding no defective pens?
This happens for k=0, so the probability is:
b. What is the probability of finding eight or more defective pens in a carton?
This can be calculated as one minus the probablity of having 7 or less defective pens.
c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than five defective pens. What is the probability that a carton contains more than five defective pens?
We can calculate this as we did the previous question, but for k=5.