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sineoko [7]
3 years ago
5

(-3) + (+1) = steps of solving

Mathematics
2 answers:
Flauer [41]3 years ago
7 0

Answer:

-2

Step-by-step explanation:

3 - 1 = 2

so it's basically adding 1 to the -3 so it would be -2

viktelen [127]3 years ago
3 0

Answer:

-2

Step-by-step explanation:

Opening brackets,

-3+1=-2

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Simplify the following expression (a+2)(3a-1)
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3a^2+5a-2.

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The ages of a sample of fans at a rock concert are listed. 24, 27, 19, 21, 18, 23, 21, 20, 19, 33, 30, 29, 21, 18, 24, 26, 38, 1
Rudik [331]

Answer:

1. {18, 18 , 19 , 19 , 19 , 20 , 21 , 21 , 21 , 21 , 23 , 24 , 24 , 26 , 27 , 27 , 29 , 30 , 30 , 30 , 33 , 33, 34 , 35 , 38 }

2a) md= 24 b) Q1=20.5 c) Q3= 30 3) Q3-Q1 =9.5 b) 19/48

Step-by-step explanation:

To answer this question the 1st and the 2nd we need to order the data entries. So from ordering from the lowest to the highest value:

1. {18, 18 , 19 , 19 , 19 , 20 , 21 , 21 , 21 , 21 , 23 , 24 , 24 , 26 , 27 , 27 , 29 , 30 , 30 , 30 , 33 , 33, 34 , 35 , 38 }

2. There are 25 entries.

{18, 18 , 19 , 19 , 19 , 20 , 21 , 21 , 21 , 21 , 23 , 24 , 24 , 26 , 27 , 27 , 29 , 30 , 30 , 30 , 33 , 33, 34 , 35 , 38 }

In odd quantities of observations, the Median equally separates it two parts.

md=24

b) To find out the 1st quartile, we can use this way:

Q_{1}=\frac{i}{4}(n+1)\\ Q_{1}=\frac{1}{4}(25+1)\\ Q_{1}=\frac{1}{4}(26)=6.5

Then 6.5 is between the 6th and 7th position. Let's find the mean of them, now:  

Q_1=\frac{20+21}{2}= 20.5

c) Similarly toThe Third Quartile or Upper Quartile

Q_{3}=\frac{i}{4}(n+1)\\ Q_{3}=\frac{3}{4}(25+1)\\ Q_{1}=\frac{3}{4}(26)=19.5

The 19th position and 20th position average is:\frac{30+30}{2} =30

3)

a) To find the Interquartile Range, we just need to find out the difference of the upper quartile and the lower one:[tex](Q_3-Q_1)Q_3-Q_1[/tex]

(30-20.5)=9.5

b) Interquartile Ratio is given by the quotient of the Interquartile Range over the Median

\frac{IQR}{md}=\frac{9.5}{24}=\frac{19}{48}

4) Since the  Relative  frequency Histogram asked is a one with 7 classes. Let's calculate how many  values.

k=1+3.32logn

7=1+3.32logn

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n≈66

Each class must have an interval of 10 ages, for (91-18)/7≈ 10. Notice the orange line intercepts the midpoint of each interval.

4 0
4 years ago
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attashe74 [19]

Answer:

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Step-by-step explanation:

These are expanded using the distributive property, which is also used for collecting terms.

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  = 6x^3 -6x^2 -12x -18x^2 +18x +36

  = 6x^3 +(-6-18)x^2 +(-12 +18)x +36

  = 6x^3 -24x^2 +6x +36 . . . . . . matches selection A

_____

<em>Comment on strategy</em>

For multiple-choice questions, it often works well to find a way to identify a viable answer with the minimum amount of work. Comparing these answer choices, you can see that determining the correct values of the x-term and the constant term will let you pick the right choice.

The constant term is easy, because it is simply the product of the constants (-6)(-6) = 36. This narrows the choices to A and C.

The x-term will be the sum of products of x-terms and constants:

  2x(-6) +(-6)(-3x) = -6(2x-3x) = -6(-x) = 6x

This narrows the choices to A alone.

5 0
4 years ago
Rewrite 3x + 4y = 10 using function notation
Contact [7]
A function notation is expressed as f(x) = ax^b + cx^d + ..... where f(x) is equal to y, In this case, to r<span>ewrite 3x + 4y = 10 using function notation, we rearrange the statement and express in terms of x only. Hence

4y = 10 - 3x
y = (10 - 3x) /4 = f(x)
f(x) = 2.5 - 0.75x</span>
3 0
4 years ago
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