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andriy [413]
4 years ago
7

Find an equation for the line that passes through the points , −1−6 and , 5−2

Mathematics
1 answer:
neonofarm [45]4 years ago
6 0

Answer:

The equation is

y = 2x/3 + 4/3

Step-by-step explanation:

The equation of a straight line is represented in the slope-intercept form, y = mx + c

Where c = y intercept

Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the information given,

The points through which the line passed through are −1, −6 and , 5, −2

Slope, m = (y2-y1)/(x2-x1)

y2 = -2

y1 = -6

x2= 5

x1 = -1

Slope, m = (-2- -6)/(5- -1)

= 4/6 = 2/3

To find intercept, c

Let's use ( 5, −2)

-2 = 2/3 ×5 + c

-2 = 10/3 + c

c = -2 + 10/3 = 4/3

The slope-intercept equation will be

y = 2x/3 + 4/3

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Lady_Fox [76]

Answer: = ( 0.411, 0.409)

Therefore at 95% confidence interval (a,b) = (0.411, 0.409)

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 gain x = 0.41

Standard deviation r = 0.016

Number of samples n = 1000

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

0.41+/-1.96(0.016/√1000)

0.41+/-1.96(0.000506)

0.41+/-0.00099

0.41+/-0.001

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Therefore at 95% confidence interval (a,b) = (0.411, 0.409)

4 0
4 years ago
What is the sum of the first 7 terms of the series −4+8−16+32−... ?
pochemuha

we have that

−4+8−16+32−.....

a1=-2*(-2)-----> -4

a2=-4*(-2)-----> +8

a3=+8*(-2)-----> -16

a4=-16*(-2)----> +32

a5=+32*(-2)----> -64

a6=-64*(-2)-----> +128

a7=+128*(-2)-----> -256

The sum of the first 7 terms of the series is

<span>[a1+a2+a3+a4+a5+a6+a7]-----> [-4+8-16+32-64+128-256]-------> -172</span>

<span>
the answer is -172</span>
4 0
3 years ago
PLEASE HELP !!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!
erica [24]

Answer:

5th option

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added together they would equal 180°

7 0
3 years ago
Select all the correct answers.
astra-53 [7]

The statement(s) that are true is that the measure of the reference angle is 45°.

<h3>What is the conversion of radians to degrees?</h3>

The conversion of an angle in radian to a degree can be determined by the multiplication of the given angle in radian by 180/π.

From the given information:

\mathbf{\theta = \dfrac{7 \pi}{4}}

To degrees, we have:

\mathbf{\theta = \dfrac{7 \pi}{4} \times \dfrac{180}{\pi}}

\mathbf{\theta =315^0}

A reference angle is an angle that measures the remaining distance (called the terminal distance) to the x-axis.

315° is in the 4th quadrant, i.e.

= 360° - 315°

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Therefore, the statement(s) that is true is:

  • The measure of the reference angle is 45°.

Learn more about the conversion of radians to degrees here:

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6 0
2 years ago
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PIT_PIT [208]

Answer:

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Step-by-step explanation:

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3 years ago
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