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9966 [12]
1 year ago
11

On a coordinate grid, point A is at (−3.0, −5.4) and point B is at (−3.0, 5.4). Point B is a reflection of point A across the __

_–axis. Input either a lowercase x or y.
Mathematics
1 answer:
Eddi Din [679]1 year ago
3 0
Given:
Point A (-3.0,-5.4)
Point B (-3.0,5.4)

reflection across y-axis ⇒ (a,b) reflected (-a,b)
reflection across x-axis ⇒ (a,b) reflected (a,-b)
reflection across the origin ⇒ (a,b) reflected (-a,-b)
reflection on y = x ⇒ (a,b) reflected (b,a)

Point B is a reflection of Point A across the x-axis.
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In a statewide soccer competition, 36 games were played. Each team participating in the competition played once with every other
Tomtit [17]

Answer:

9 teams

Step-by-step explanation:

If the total games played was 36 and no team played each other twice, we need to ensure there isn't any double counting.

36 = (n-1) + (n-2) + (n-3) ... + (n-(n-1))

using this knowledge, we can then count up:

1+2+3+4+5+6+7+8 = 36

If our highest number is 8, then we know there must be 9 teams, because no team can play themselves.

8 0
2 years ago
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Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books
Marta_Voda [28]

Given:

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books.

To Find:

A system of linear equations represents the situation.

Answer:

x+y=26\\\\x=y+12

Step-by-step explanation:

We are given that  x represents the number of fiction books and y is the number of non-fiction books.

We are also given that the total number of books Elliot has is 26 which includes both fiction and non-fiction. So, we may write

x+y=26

Next, we are given that there are 12 more fiction books than non-fiction books. This means, the fiction books are more in number and so, we may write

x=y+12

So, the total system of equations can be represented as

x+y=26\\\\x=y+12

4 0
2 years ago
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Suppose an exponential function is fit to a set of data. Which of the following residual plots indicates that this function was
Zina [86]
The correct answer is the choice that you have selected, the third choice. 

When, we are looking at the residuals for a regression line, we always want to see the points balance like in the third choice. This means that the equation that we found is right in the middle of the points.
7 0
1 year ago
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Brandon bought 21 chicken wings for $39.90. How much would it cost for 15 wings?
Pachacha [2.7K]

Answer:

$28.50

Step-by-step explanation:

21 chicken wings= $39.90

1 chicken wing= 39.90÷21= $1.90

15 chicken wings= 15×1.90= $28.50

4 0
2 years ago
The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the break
Zigmanuir [339]

Answer:

Methods of obtaining a sample of 600 employees from the 4,700 workforce:

Part A:  The type of sampling method proposed by the CEO is Convenience Sampling.

Part B: When there are equal number of participants in both campuses, stratification by campus would give a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender.  Another method to ensure that stratification by campus gives a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender is to ensure that the sample is proportional to the proportion of each campus to the whole population or workforce.

Step-by-step explanation:

A Convenience Sampling technique is a non-probability (non-random) sampling method and the participants are selected based on availability (early attendees).  The early attendees might be different from the late attendees in characteristics such as age, sex, etc.  Therefore, sampling biases are present.  All non-probability sampling methods are prone to volunteer bias.

Stratified sampling  is more accurate and representative of the population.  It reduces sampling bias.  The difficulty arises in choosing the characteristic to stratify by.

3 0
1 year ago
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