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likoan [24]
3 years ago
12

One number is nine more than another number, if the sum of the number is 65, find both numbers

Mathematics
2 answers:
balandron [24]3 years ago
8 0

Answer:

28 and 37

Step-by-step explanation:

Alenkasestr [34]3 years ago
6 0

Answer:

<em><u>28 and 37</u></em>

Step-by-step explanation:

This is very simple actually!

<u>First subtract the 9:</u>

65 - 9 = 56

<u>Then divide by 2:</u>

56 ÷ 2 = 28

<u>28 is one of your answers. If we want to find the other one, then add back 9</u>

28 + 9 = 37

That's it!

Hope this helped  :)

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A statistics textbook chapter contains 60 exercises, 6 of which are essay questions. A student is assigned 10 problems. (a) What
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Answer:

a) P=0.3174

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d) The shape of the hypergeometric, in this case, is like a binomial with mean np=1.

Step-by-step explanation:

The appropiate distribution to model this is the hypergeometric distribution:

P(X=x)=\frac{\binom{s}{x}\binom{N-s}{M-x}}{\binom{N}{M}}=\frac{\binom{6}{x}\binom{54}{10-x}}{\binom{60}{10}}

a) What is the probability that none of the questions are essay?

P(X=0)=\frac{\binom{6}{0}\binom{54}{10-0}}{\binom{60}{10}}\\\\P(X=0)=\frac{1*(54!/(10!*44!)}{60!/(10!*50!)} =\frac{2.3931*10^{10}}{7.5394*10^{10}} = 0.3174

b)  What is the probability that at least one is essay?

P(X=1)=\frac{\binom{6}{1}\binom{54}{9}}{\binom{60}{10}}\\\\P(X=1)=\frac{6*(54!/(9!*43!)}{60!/(10!*50!)} =\frac{3.1908*10^{10}}{7.5394*10^{10}} =0.4232

c) What is the probability that two or more are essay?

P(X\geq2)=1-(P(0)+P(1))=1-(0.3174+0.4232)=1-0.7406=0.2594

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