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3 years ago

Solve the linear system of equations using addition. Graph the equations to verify your solution. required.

Mathematics

1 answer:

zhenek [66]3 years ago

8 0

<h3>Answer:</h3>

infinite solutions

<h3>Step-by-step explanation:</h3>

Add the two equations.

... (-4x) + (y) = (y +3) +(-4x -3)

Add 4x -y to both sides.

... -4x +y +4x -y = -4x +y +4x -y

... 0 = 0 . . . . . true for all values of x (or y)

Both equations describe the same line.

_____

The graph shows the first equation as a red line. The second equation is shown using a "blue dot" texture, so you can see it overlays the red line.

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Stephen is making a map of his neighborhood. He knows the following information

Kitty [74]

The question is missing the image given to go along with it, corresponding to the map being created. The image is attached to this answer.

The side angle side (SAS) similarity theorem states that two triangles with congruent angles and sides with identical ratios then the two triangles are similar. We have various points on the map, Home (H), Park (P), Friends house (F) and Grocery store (G).

In this example, we know the angle at the point Home on the map, is shared between the two triangles. If these two triangles are similar, then the ratio of the distances HF/HG = HP/HB. We know all of these values except for the HB which is the distance from home to the bus stop. But if these triangles are similar, we can solve for that distance.

15/9 = 10/HB
HB = 90/15
HB = 6 blocks.

To determine if the triangles are similar we need to know the distance from home to the bus stop, and if these are indeed similar, that distance must be 6 blocks.

3 0

4 years ago

Read 2 more answers

A multiple regression model has the form = 5 + 6x + 7w as x increases by 1 unit (holding w constant), y is expected to

Hoochie [10]

As $x$ increases, [y] is expected to increase.

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3 years ago

To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil

Debora [2.8K]

Answer:

statistic value t= 5.43

p-value: < 0.00001.

Step-by-step explanation:

Hello!

To obtain information over the corrosion-resistance properties of a certain type of steel conduit a random sample of 45 specimens was taken and buried for two years.

The study variable is:

X: Max. penetration of a steel conduit.

The data of the sample

n= 45

sample mean X[bar]= 53.4

sample standard deviation S= 4.2

The conduits are manufactured to have a true average penetration of at most 50 mills, symbolically: μ ≤ 50

The hypothesis is:

H₀: μ ≤ 50

H₁: μ > 50

α: 0.05

To choose the corresponding statistic to use to study the population mean, the variable must have a normal distribution. There is no available information to check this, so I'll just assume that the variable has a normal distribution and, since the population variance is unknown and the sample is small, the statistic to use is a Student t.

Under the null hypothesis, the critical region and the p-value are one-tailed.

Critical value:

$t_{n-1; 1-\alpha } = t_{44; 0.95} = 1.68$

Rejection rule:

Reject the null hypothesis when t ≥ 1.68

t= $\frac{53.4 - 50}{\frac{4.2}{\sqrt{45} } }$

t= 5.43

The calculated value is greater than the critical value, thedecision is to rject the null hypothesis.

p-value:

P(t ≥ 5.43) = 1 - P(t < 5.43) = < 0.00001.

The p-value is less than α so the decision is to reject the null hypothesis.

Since the null hypothesis was rejected, then the population average of the penetration of the conduits specimens is greater than 50 mils. It is not recommendable to use these conduits.

I hope it helps!

4 0

3 years ago

Someone help me find x please!

Akimi4 [234]

X is equal to 28 and Y is equal to 23

8 0

3 years ago

A group of 22 students participated in a race. Their scores are below: Score (points) 4–5 6–7 8–9 10–11 12–13 Number of Students

Anna71 [15]

A histogram would best represent the data.
Dot plot is a good way to show a certain trend. However, when it comes to the number of a item, in this case the number of students in a certain score range, a histogram will be the most intuitive and concise. Thus, a histogram best represent the data presented here.

6 0

3 years ago