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Nimfa-mama [501]
3 years ago
10

Which order pair represents the solution to the system of linear equations?

Mathematics
2 answers:
notka56 [123]3 years ago
4 0

Answer:

(1,3)

Step-by-step explanation:

1) since both equations are equal to "y" we can solve by substitution

X+2=2x+1

Bring "x" to the right ans "1" to the left

1=x

Since we have the value of "x" we can plug it into the original equation to get "y"

Y=x+2

Y=1+2

Y=3

So

(1,3) is the answer

Natali5045456 [20]3 years ago
3 0
B. (1,3) is the correct answer to your solution.
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This box can be packed with 48 units cubes. The edge length of each unit cube is 1 meter. What is the volume of the box?
Dafna1 [17]

48 m³

Step-by-step explanation:

A cube has equal length width and height

A cube in this case has length 1m meaning the width and height are also 1 m each in length.

The volume of the cube is (L * W * H) =  1 * 1 * 1 = 1 m³

If 48 of these can fit in the bigger box, then the bigger box has the volume of;

48 * 1 m³ = 48 m³

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3 years ago
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Mice21 [21]

Answer:

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Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A researcher studying reaction time of drivers states that, "A 95% confidence interval for the mean time (8.1) it takes for a dr
Sergio039 [100]

Answer:

For this case we know that the confidence interval is given by (1.2 , 1.8) and the point of estimate for \mu would be:

\bar X = \frac{1.2+1.8}{2}= 1.5

And the margin of error is given by:

ME = \frac{1.8-1.2}{2}= 0.3

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

For this case we know that the confidence interval is given by (1.2 , 1.8) and the point of estimate for \mu would be:

\bar X = \frac{1.2+1.8}{2}= 1.5

And the margin of error is given by:

ME = \frac{1.8-1.2}{2}= 0.3

6 0
4 years ago
2. Which of the following equations are perpendicular to 2y = -3x + 1 I. II. III. y=-x-1 - 2x + 3y = -5 2x + 3y = 2 (A) I only (
Novay_Z [31]

The equation in given as ;

2y = -3x + 1

This can be written as ;

y= -3/2 x + 1/2

This means the equation has a gradient of -3/2

Let this slope , be , ---------m1

For perperdicular lines , the product of their slopes = -1 .This means if the other line has a gradient of m2 then : m1 * m2 = -1

So from the answers :

i) y= 2/3 x - 1 the slope is 2/3

m2 = 2/3

m1 * m2 = -1 -------check the if this is true by using the two values of gradient as;

-3/2 * 2/3 = - 1 ------ This is true-----equation i

II.

-2x + 3y = -5

3y = 2x -5

y= 2/3 x -5/3 -----m2 here is 2/3

m1*m2 = -1

-3/2 * 2/3 = -1 -----this is true , so ----equation ii

iii)

2x + 3y = 2

3y = -2x + 2

y= -2/3 x + 2/3 -----m2 = -2/3

m1*m2 = -1

-3/2 * -2/3 = 1 -----this is not true,,,equation iii is not perpendicular to our equation.

so, equation i and ii are perpendicular to our equation .

Answer : B i and ii only

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sashaice [31]
I hope this helps you

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