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sergiy2304 [10]
2 years ago
8

Which compound inequality represented by the graph below?

Mathematics
1 answer:
nekit [7.7K]2 years ago
6 0

Answer: x < -1 or x ≥ 3

Step-by-step explanation:

     First we will look at the left part. The circle is open (not "equal to), arrow is pointing to the left (showing "less than" in this case), and the value is on -1;

         x < -1

     Second, we will look at the right part. The circle is closed (showing "equal to"), the arrow is pointing to the right (showing "greater than" in this case). and the value is on 3;

         x ≥ 3

     Lastly, we will write the final compound inequality. In this case, we use the word "or" because the solution value is either less than -1 or greater than and equal to 3.

     <em>Note: The word "and" is only used when the "arrows point towards each other" creating a segment, so to say. In this case, they "point away" so we use the word or.</em>

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2. Consider the following dot plot and answer the following questions : A. Find the measures of central tendency Construct the B
zubka84 [21]

The measures of central tendency for this data set are as follows:

  1. Mean = 3.55.
  2. Median = 3.5.
  3. Mode = 3.

<h3>How to calculate measures of central tendency?</h3>

In Mathematics, there are three (3) main measures of central tendency and these include the following:

  • Mean
  • Median
  • Mode

For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

F(x) = 71

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = 71/20

Mean = 3.55.

For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

<h3>How to calculate the mode?</h3>

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

Read more on mean here: brainly.com/question/9550536

#SPJ1

6 0
2 years ago
Of the marbles in a bag 5 are red 4 are yellow and 4 are blue Sandra will randomly choose one marble from the bag fill in the bl
timurjin [86]

Answer:

A. 4/13

B. Likely.

4 0
2 years ago
What is 4 2/7 + 2 9/14
tiny-mole [99]

Answer:

6 13/14

Step-by-step explanation:

Convert 2/7 to 4/14 by multiplying both 2/7 by 2/2, to have a common denominator, then add your mixed numbers.

2/7 x 2/2 = 4/14

4/14 + 9/14 = 13/14

4 + 2 = 6

6 13/14

7 0
3 years ago
Read 2 more answers
50% of _ =7 answer plssssss
zysi [14]
50% of 14 is 7

this is because if you do 7/0.5 it will be 14 or you can think of it this way: 50% is half, so you have to find what part of half 7 is, which in this case is 14
3 0
3 years ago
the 8th term of an arithmetic sequence is -42 and the 16th term is -74. Find and simplify an expression for the nth term
Ugo [173]

Answer:

a_{n} = - 4n - 10

Step-by-step explanation:

the nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₈ = - 42 and a₁₆ = - 74 , then

a₁ + 7d = - 42 → (1)

a₁ + 15d = - 74 → (2)

subtract (1) from (2) term by term to eliminate a₁

8d = - 74 - (- 42) = - 74 + 42 = - 32 ( divide both sides by 8 )

d = - 4

substitute d = - 4 into (1) and solve for a₁

a₁ + 7(- 4) = - 42

a₁ - 28 = - 42 ( add 28 to both sides )

a₁ = - 14

Then

a_{n} = - 14 - 4(n - 1) = - 14 - 4n + 4 = - 4n - 10

5 0
2 years ago
Read 2 more answers
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