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defon
3 years ago
8

The difference between two numbers is 10 and their sum is 24.Find the numbers​

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer:

7 and 17

Step-by-step explanation:

24-10=14

14/2=7

7+10=17

therefore 17 and 7

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A tennis player makes a successful first serve 51% of the time. If she serves 9 times, what is the probability that she gets exa
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Answer:

P(X=3)

And we can use the probability mas function and we got:

P(X=3)=(9C3)(0.51)^3 (1-0.51)^{9-3}=0.1542  

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem  

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=9, p=0.51)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want this probability:

P(X=3)

And we can use the probability mas function and we got:

P(X=3)=(9C3)(0.51)^3 (1-0.51)^{9-3}=0.1542  

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