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Mariulka [41]
3 years ago
15

Which is the equation of the line with slope 3 that contains point (-1, 5)?

Mathematics
2 answers:
Snezhnost [94]3 years ago
8 0
Y - 5 = 3 ( x + 1 )

i am a mathematics teacher. if anything to ask please pm me
Setler79 [48]3 years ago
3 0
The expression above is in a point-slope form which is:

y-y1 = m(x-x1)

Therefore, from the given problem:

m =  3
y1 = 5
x1 = -1

The transformed equation would be:

y-5 = 3(x+1) which is the first choice.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Step-by-step explanation:

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12% of children are nearsighted, but this condition often is not detected until they go to kindergarten. A school district tests
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Answer:

There is a 34.60% probability that 0 or 1 of them is nearsighted.

Step-by-step explanation:

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Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem, we have that:

12% of children are nearsighted. This means that p = 0.12.

A school district tests all incoming kindergarteners' vision. In a class of 18 kindergarten students, what is the probability that 0 or 1 of them is nearsighted?

There are 18 students, so n = 18

This probability is:

P = P(X = 0) + P(X = 1)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{18,0}.(0.12)^{0}.(0.88)^{18} = 0.1002

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So

P = P(X = 0) + P(X = 1) = 0.1002 + 0.2458 = 0.3460

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Theleft-hand side of the equation is:
                                                             48 + 54 = 102
Now the right-hand side of the equation:
                                                                    A </span>× (8+9) = Right-hand side
                                                                    A × (8+9) = 102
Solving for the unknown variable A,
                                                                    A × 17 = 102
Dividing by 17 on both sides,
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                                                         A × 1 = 6
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Hence,
           48 + 54 = 6 x (8 + 9)

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