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3 years ago

What is the equation of the following line written in general form?

Mathematics

1 answer:

stiks02 [169]3 years ago

4 0

Answer:

The correct answer is b) x - y + 1 = 0

Step-by-step explanation:

In order to find this, start by finding the slope using the two points given.

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - 2)/(4 - 1)

m = 3/3

m = 1

Now that we have the slope, we can plug into point slope form along with either point. Then we can solve for 0 to see which equation is correct.

y - y1 = m(x - x1)

y - 2 = 1(x - 1)

y - 2 = x - 1

-x + y - 2 = -1

-x + y - 1 = 0

x - y + 1 = 0

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1. A sample consists of 75 TV sets purchased several years ago. The replacement times of those TV sets have a mean of 8.2 years.

Greeley [361]

Answer:

8.2+/-0.25

= ( 7.95, 8.45) years

the 95% confidence interval (a,b) = (7.95, 8.45) years

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 8.2 years

Standard deviation r = 1.1 years

Number of samples n = 75

Confidence interval = 95%

z value(at 95% confidence) = 1.96

Substituting the values we have;

8.2+/-1.96(1.1/√75)

8.2+/-1.96(0.127017059221)

8.2+/-0.248953436074

8.2+/-0.25

= ( 7.95, 8.45)

Therefore the 95% confidence interval (a,b) = (7.95, 8.45) years

3 0

2 years ago

I don't care about getting the answers but rather a step-by-step explanation for this problem: A simple interest, 8-month loan o

alisha [4.7K]

Answer:

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

T = 8 months = 8/12 = 2/3 years

P = $3000

R = 9.3%

Therefore

I = (3000 × 9.3 × 2/3)/100

I = 18600/100

I = $186

The maturity value (in dollars) of this loan would be

3000 + 186 = $3186

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3 years ago

104 km= m? metric conversions104 km= m? metric conversions Follow 8 answers 8 Report Abuse Are you sure you want to delete this

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<span>104 km= m? metric conversions 104 km= m?

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3 years ago

A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 conta

Archy [21]

Answer:

$\dfrac{11}{30}$

Step-by-step explanation:

Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.

The probability to select red marble is $\dfrac{3}{5}=0.6.$

Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.

The probability to select red marble is $\dfrac{3}{10}=0.3.$

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The probability to select red marble is $\dfrac{1}{5}=0.2.$

The probability to choose each urn is the same and is equal to $\frac{1}{3}.$

Thus, the probability that the marble is red is

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4 0

2 years ago

Y + 5 = -4(x + 1)<br><br> Please help and explain! Thank you :)

lana [24]

Answer:

y= -4x-9

Step-by-step explanation:

first you distribute the -4: y+5= -4x-4

then you subtract 5 from both sides to isolate the variable but keep the equation balanced: y= -4x-9

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2 years ago

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