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3 years ago

Graph the ordered pairs for y=3x+3 using x={-2,1,2}

Mathematics

1 answer:

s2008m [1.1K]3 years ago

8 0

Answer:

Order pairs: (-2,-3), (1,6) and (2,9)

Step-by-step explanation:

y= 3x +3

y= 3(-2) + 3 = -3

y = 3 (1) + 3 = 6

y = 3(2) + 3 = 9

now just plug in the order pairs. remember quadrant I is (+,+) Q2 is (-,+) Q3 is (-,-) and Q4 is (+,-)

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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.

The above situation can be represented through Binomial distribution;

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

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%

LET X = Number of U.S. mortgages those were delinquent in 2011

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

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

= 0.357

Hence, the probability that exactly one of these mortgages is delinquent is 0.357.

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3 years ago