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lord [1]
3 years ago
15

Which ordered pair comes from the table ?

Mathematics
2 answers:
MArishka [77]3 years ago
5 0

Answer: the answer is C because it is the only one that matches with one pair on the table wich is (4,2)

il63 [147K]3 years ago
3 0

Answer: The answer is C.

ok, in the traditional notation, a pair of numbers x and y is represented as:  (x,y)

And the pairs in the table written in this notation are the next ones:

(1,2) , (2,4) , (3,3) and (4,2)

so the only option that is in the table is the option c = (4,2), while neither of the other options show in the table.

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According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h
shepuryov [24]

Answer:

The probability that exactly one of these mortgages is delinquent is 0.357.

Step-by-step explanation:

We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.

A random sample of eight mortgages was selected.

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P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 8 mortgages

            r = number of success = exactly one

           p = probability of success which in our question is % of U.S.

                  mortgages those were delinquent in 2011, i.e; 8%

<em>LET X = Number of U.S. mortgages those were delinquent in 2011</em>

So, it means X ~ Binom(n=8, p=0.08)

Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)

                 P(X = 1)  = \binom{8}{1}\times 0.08^{1} \times (1-0.08)^{8-1}

                               = 8 \times 0.08 \times 0.92^{7}

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<u><em>Hence, the probability that exactly one of these mortgages is delinquent is 0.357.</em></u>

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