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QveST [7]
3 years ago
11

Choose the system of equations that matches the following graph

Mathematics
2 answers:
zzz [600]3 years ago
7 0

Answer:

The first option

Step-by-step explanation:

I just found a place where the lines were on coordinate with whole numbers and replaces the x and y values of the equations (in this case I used 8,3). If the answer was correct, then that was the right equation

NemiM [27]3 years ago
7 0

Answer:

1st option

x-4y=-4

3x +4y=36

Step-by-step explanation:

The point (8,3) is the common point for both lines (and their equations)

Let's pick another point for the red line, the I equation and then calculate the the equation

I (8,3) and (4,2)

m=\frac{3-2}{8-4}\\ \\  m=1/4

We now have the inclination angle = 1/4 crescent function

Looking at the graph we see the red line, the equation I intercepts y-axis on point 1

y=1/4x+1

y=1/4(8)+1 Therefore : y=3 Testing for (4,2) y=1/4*4+1 y=2

As for the blue line, the second equation finding out m, as we have two points for this Equation (0,9) and (8,3)

m=\frac{3-9}{8-0}\\  m=-3/4

y=-3/4x+9

So we have

y=1/4x+1

y=-3/4x+9

But in the options we have to multiply everything by four

4y=x+4

4y=-3x+36

Rearranging

-x+4y=4  *(-1)

3x+4y=36

Finally

x-4y=-4

3x +4y=36

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A cylinder has a helght of 16 cm and a radius of 5 cm. A cone has a helght of 12 cm and a radius of 4 cm. If the cone is placed
erma4kov [3.2K]

Answer:

1055.04 cm³

Step-by-step explanation:

Given that,

Height of a cylinder, h = 16 cm

Radius of the cylinder, r = 5 cm

The height of a cone, h' = 12 cm

The radius of a cone, r' = 4 cm

The volume of the cylinder will be :

V=\pi r^2 h\\\\=3.14\times 5^2\times 16\\\\=1256\ cm^3

The volume of a cone is given by :

V'=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times (4)^2\times 12\\\\=200.96\ cm^3

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Hence, the required answer is equal to 1055.04 cm³.

3 0
2 years ago
450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (
umka21 [38]

Answer:

The margin of error is of 0.01.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.7}{2} = 0.15

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.15 = 0.85, so Z = 1.037.

The margin of error is of:

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Standard deviation was 0.21.

This means that \sigma = 0.21

Sample of 450:

This means that n = 450

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

M = z\frac{\sigma}{\sqrt{n}}

M = 1.037\frac{0.21}{\sqrt{450}}

M = 0.01

The margin of error is of 0.01.

4 0
3 years ago
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Korvikt [17]

Answer:

21.35

Step-by-step explanation:

4.27 * 5 i hope this is one of your answers

4 0
3 years ago
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