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1 answer:
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Answer:
(a)Degree 3
(b)
Step-by-step explanation:
The function represented by the set of points: {(-3,15)(-2,17), (-1,11), (0,3),(1,-1), (2,5),(3,27)} has 2 turning points when plotted on a graph.
(a)Now, we know that the maximum number of turning points of a polynomial function is always one less than the degree of the function.
Therefore, the polynomial has a degree of 3
(b)A cubic function is one in the form where d is the y-intercept.
From the set of values, the y-intercept, d=3
Therefore, our polynomial is of the form:
Solving the three resulting equations simultaneously use a calculator), we obtain:
Therefore, an equation of this function is:
Answer:
a) The probability that a box containing 3 defectives will be shipped is
b) The probability that a box containing only 1 defective will be sent back for screening is
Step-by-step explanation:
Hi
a) The first step is to count the number of total possible random sets of taking a sample size of 4 items over 23 items of the box, so
The second step is to count the number of total possible random sets of taking a sample size of 4 items over 20 items of the box (discounting the 3 defectives) as the possible ways to succeed, so
Finally we need to compute , therefore the probability that a box containing 3 defectives will be shipped is
a) The first step is to count the number of total possible random sets of taking a sample size of 4 items over 23 items of the box, so
The second step is to count the number of total possible random sets of taking a sample size of 4 items over 22 items of the box (discounting the defective 1) as the possible ways to succeed, so
Then we need to compute , therefore the probability that a box containing 1 defective will be shipped is
Finally the probability that a box containing only 1 defective will be sent back for screening will be