Determine the slope between the points (-1, -5) and (5, 4)
1 answer:
Answer:
Slope = 9/6
Step-by-step explanation:
Step 1: We have formula to find the slope if we are given two point.
<h3>slope =Given points (-1, -5) and (5, 4)
Here x1 = -1, y1 = -5 and x2=5 and y2 = 4
Step 2: Plug in those values into formula and simplify.
Slope = (4 - (-5)) / (5 - (-1))
= (4 + 5)/(5 + 1) -(-5)= 5 and -(-1) = 1
Slope (m) = 9/6
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Answer:
0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B
Step-by-step explanation:
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
Fibers are chosen without replacement, which means that we use the hypergeometric distribution.
92 fibers means that
Sample of 10 means that
No polymeter B which means that
17 fibers of polymeter B which means that
a. What is the probability that the sample does not contain any fibers of polymer B
This is P(X = 0).
0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B