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Zarrin [17]
3 years ago
10

If f(x) =x-1 and g(x)=5x-2, then (f+g)(x)=

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer:

5x²-7x+2

step by step explanation:

(f•g)(x) = f(x)•g(x)

(x-1)•(5x-2)

x×5x-2x-5x-1×(-2)

5x²-2x-5x+2

=5x²-7x+2

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A bottling process is inspected 100 percent of the time because of the low yield rate of 98%. If a batch of 80 bottles are inspe
PSYCHO15rus [73]

Answer:

The probability is   P(X <  3) =  0.7843

Step-by-step explanation:

From the question we are told that

   The low yield rate is  q = 0.98

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Hence the probability that the bottle is bad

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Generally the distribution of yield follows a binomial distribution  

i.e  

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and the probability distribution function for binomial  distribution is  

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Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the probability less than three bottles are bad is mathematically represented as

    P(X <  3) = P(X = 0 ) + P(X = 1 )+ P(X = 2)

=>  P(X <  3) = ^{80}C_0 *  0.02^0 *  (1- 0.02)^{80-0} +^{80}C_1 *  0.02^1 *  (1- 0.02)^{80-1}+ ^{80}C_2 *  0.02^2 *  (1- 0.02)^{80-2}

=>  P(X <  3) = 1 *  1 * 0.1986 + 80 *  0.02 *  0.2027 + 3160 *  0.0004 * 0,2068

=>  P(X <  3) =  0.7843

8 0
3 years ago
Read 2 more answers
How get an equation for a arithmetic graph<br>​
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Step-by-step explanation:

by using this equation

a(n) = a +(n-1)d

a= the first term in the sequance

d=the commen difference between two terms

hope this helps

8 0
3 years ago
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