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Leni [432]
2 years ago
13

Which choice is the equation of the line that passes through the point (5, 19) and has a slope of

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
3 0

Answer:

The equation is;

y = 12x-41

Step-by-step explanation:

Mathematically;

slope intercept form is;

y = mx + b

where m is slope and b is intercept

Since we already have the slope , the equation is;

y = 12x + b

To get b which is the y intercept, we simply substitute the value of the points given

Thus;

19 = 5(12) + b

19 = 60+ b

b = 19-60

b = -41

So the equation is;

y = 12x - 41

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Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are asfollows:S
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Answer and explanation:

Given : Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are as follows :

                                                 Strength Strength

                                                    High             Low

High conductivity                         74                8

Low conductivity                         15                3

To find :

a) If a stand is randomly selected, the probability that is conductivity is high and its strength is high

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The probability is given by,

P=\frac{74}{100}=0.74

b) If a stand is randomly selected, the probability that its conductivity is low or  strength is low

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Strength is low B= 8+3=11

Conductivity is low and  strength is low A\cap B=3

Probability is given by,

P(A\cup B)=P(A)+P(B)-P(A\cap B)

P(A\cup B)=\frac{18}{100}+\frac{11}{100}-\frac{3}{100}

P(A\cup B)=0.18+0.11-0.03

P(A\cup B)=0.26

c) Consider the event that a strand low conductivity and the event that the strand has a low strength. Are these tow events mutually exclusive?

Since the events the stand has low conductivity and the stand has low strength  are not mutually exclusive, since there exists some cases in which both the  events coincide. i.e. Intersection of both the events exists with probability 0.03.

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Step-by-step explanation:

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