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alexira [117]
1 year ago
8

Summarize the possible relationships for the y -intercepts, slopes, and number of solutions in a system of two linear equations

in two variables.
Mathematics
1 answer:
ale4655 [162]1 year ago
4 0

A consistent system of equations has at least one solution.

A consistent system is considered to be an independent system if it has a single solution, such as the example we just explored. The two lines have different slopes and intersect at one point in the plane.

A consistent system is considered to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide so the equations represent the same line. Every point on the line represents a coordinate pair that satisfies the system. Thus, there are an infinite number of solutions.

Another type of system of linear equations is an inconsistent system, which is one in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no points common to both lines; hence, there is no solution to the system.

For more information on slopes click on the link below:

brainly.com/question/3493733

#SPJ4

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Suppose that the average bill for the drive through of 24 customers at Burger Palace is $14.30. It is known that the population
Mice21 [21]

The standard deviation is a measure of a collection of values' variance or dispersion. The true mean bill for a customer at Burger Palace with 95% confidence is $13.38.

<h3>What is a standard deviation?</h3>

The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

Given that the Sample mean (\overline x) is $14.30, the Sample size(n) is 24 customers, the Standard deviation(σ) is 2.30, while for a 95% confidence interval the Z-score is 1.960. Therefore, the true mean can be written as,

Z = \dfrac{\overline x- \mu}{\frac{\sigma}{\sqrt n}}\\\\\\1.960 = \dfrac{14.30-\mu}{\frac{2.30}{\sqrt{24}}}\\\\\\1.960 = \dfrac{14.3-\mu}{0.47}

μ = 13.3788 ≈ 13.38

Hence,  the true mean bill for a customer at Burger Palace with 95% confidence is $13.38.

Learn more about Standard Deviation:

brainly.com/question/16555520

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5 0
2 years ago
The data represents the daily rainfall​ (in inches) for one month. Construct a frequency distribution beginning with a lower cla
Fiesta28 [93]

Answer:

The frequency distribution does not appear to be normal.

Step-by-step explanation:

The data provided is as follows:

S = {0.38 , 0 , 0.22 , 0.06 , 0 , 0 , 0.21 , 0 , 0.53 , 0.18 , 0 , 0 , 0.02 , 0 , 0 , 0.24 , 0 , 0 , 0.01 , 0 , 0 , 1.28 , 0.24 , 0 , 0.19 , 0.53 , 0 , 0, 0.24 , 0}

It is provided that the first lower class limit should be 0.00 and the class width should be 0.20.

The frequency distribution table is as follows:

Class Interval  Count

 0.00 - 0.19            21

 0.20 - 0.39             6

 0.40 - 0.59             2

 0.60 - 0.79             0

 0.80 - 0.99             0

  1.00 - 1 . 19             0

  1.20 - 1. 39             1

The frequency distribution does not appear to be normal. This is because the frequencies does not start and end at almost equivalent points and the mid-distribution does not consist of the highest frequency.

Thus, the frequency distribution does not appear to be normal.

5 0
3 years ago
A video game is programmed over a coordinate grid where the bottom left-hand corner of the screen is the origin. In
Otrada [13]

Answer:

3, 1, 1

Or C, A, A

Step-by-step explanation:

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3 years ago
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Answer:

Step-by-step explanation:

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6 0
3 years ago
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It takes 2 bags of feed for each turkey every week.How many bags of feed do i need to fees 2 turkeys for a month?
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it takes 2 bags for each turkey for a week

4 weak are there in a month

so for one turkey=4*2

                            =8

so for one turkey its 8 means

2 turkey=8+8

             =16

therefore it takes 16 bags for two turkey in a month

7 0
3 years ago
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