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3 years ago

1. The point (3, 1) is on the line whose equation is 2x + y = c. What is the value of c?

Mathematics

1 answer:

Otrada [13]3 years ago

8 0

Answer:

c = 7

Step-by-step explanation:

Given

2x + y = c

Since (3, 1) is on the line then it makes the equation true,

Substitute x = 3, y = 1 into the equation

2(3) + 1 = c

6 + 1 = c

7 = c

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4 years ago

The point-slope form of the equation of the line that passes through (-4,-3) and (12, 1) is y-1= 1/4(x-12). what is the stadard

Monica [59]

Answer:

x - 4y = 8

Step-by-step explanation:

Since the Point-Slope Formula is already given to you, convert it to Slope-Intercept Form, and you do that by doing this:

y - 1 = ¼(x - 12) >> y - 1 = ¼x - 3

y - 1 = ¼x - 3

+ 1 + 1

--------------

y = ¼x - 2 >> Slope-Intercept Form

After doing this, you are ready to convert to Standard Form, and you do that by doing this:

y = ¼x - 2

-¼x -¼x

-----------

-¼x + y = -2

Now unfortunately, we do not want fractions as our coefficients, so the way to eliminate the fraction is to multiply the equation by the Multiplicative Inverse of -¼, which is -4:

-4[-¼x + y = -2] >> x - 4y = 8 → New equation without fractions

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

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4 years ago

What's two thirds of a straight line?

Komok [63]

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4 years ago

A random sample of vacationers were asked whether they were traveling to another country for their upcoming trip. The resulting

weeeeeb [17]

Answer:

The Margin of error = 0.01

Step-by-step explanation:

Explanation:-

step(i):-

Given confidence interval for the proportion of vacationers traveling abroad

(0.14,0.16)

The 95% of confidence interval for Population proportion with margin of error is determined by

( p⁻ - M.E , p⁻ + M.E)

step(ii):-

The margin of error is determined by

$M.E = Z_{\alpha } \sqrt{\frac{p(1-p)}{n} }$

Given Confidence interval is ( 0.14 , 0.16 )

Now

(( p⁻ - M.E , p⁻ + M.E) = (0.14,0.16)

Equating

p⁻ - M.E = 0.14 ...(i)

p⁻ + M.E = 0.16 ...(ii)

Solving (i) and (ii) equations , we get

p⁻ - M.E = 0.14

p⁻ + M.E = 0.16

- - -

- 2 M.E = -0.02

M.E = 0.01

The margin of error = 0.01

Conclusion:-

The margin of error = 0.01

8 0

3 years ago