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nalin [4]
3 years ago
8

Write a function rule for the table.

Mathematics
1 answer:
-Dominant- [34]3 years ago
4 0

Solution:

we are given with a data table and we have been asked to find the function rule.

If we closely observe the table then we find that table is following the below function rule

c = 16d + 18

Check ford=1, c=16*1+18=34

Check ford=2, c=16*2+18=50

Check ford=3, c=16*3+18=66

Check ford=4, c=16*4+18=82

Hence the correct option is c = 16d + 18

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From experience, it is known that on average 10% of welds performed by a particular welder are defective. if this welder is requ
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Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (success/failure)3. Probability is known and remains constant throughout the trials (p)4. All trials are random and independent of the othersThe number of successes, x, is then given byP(x)=C(n,x)p^x(1-p)^{n-x}whereC(n,x)=\frac{n!}{x!(n-x)!}
Here we're given
p=0.10  [ success = defective ]
n=3

(a) x=0
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,0)0.1^0(1-0.1)^{3-0}
=1(1)(0.729)
=0.729

(b) x=2
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,2)0.1^2(1-0.1)^{3-2}
=3(0.01)(0.9)
=0.027

(c) x ≥ 2
P(x)=\sum_{x=2}^3C(n,x)p^x(1-p)^{n-x}
=P(2)+P(3)
=C(n,2)p^2(1-p)^{n-2}+C(n,3)p^3(1-p)^{n-3}
=C(3,2)0.1^2(1-0.1)^{3-2}+C(3,3)0.1^3(1-0.1)^{3-3}
=3(0.01)(0.9)+1(0.001)1
=0.027+0.001
=0.028


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