Below are the numbers of fish each person on a fishing trip caught. Which measure or measures of central tendency best reflect the data? Explain your reasoning.3 6 10 8 9 10 11 10 8 4 9 10 1 10 9 8 6 9

Answer:

The standard form of the equation is -3x + y = -19

Step-by-step explanation:

To find the standard form, we first need to note that the slope will be 3 since parallel lines have the same slope. Then we can use point-slope form and manipulate into standard form.

y - y1 = m(x - x1)

y - 5 = 3(x - 8)

y - 5 = 3x - 24

-3x + y - 5 = -24

-3x + y = -19

Answer:3

Step-by-step explanation:

Final answer:

The greatest common factor of the terms of the polynomial 3y2 – 21y + 36 is 3. This is because 3 is the highest number that can divide each term of the polynomial evenly and only the first two terms have 'y', so 'y' cannot be considered as a common factor for all terms.

Explanation:

The greatest common factor (GCF) of the terms of a polynomial is the highest number or variable that divides each term of the polynomial evenly. In this case, to find the GCF of the terms of the mathematical expression 3y2 – 21y + 36, we need to look at each term separately.

For the terms 3y2, -21y, and +36, the GCF in numerical terms is 3. However, since only the first two terms have y as a variable, y is not a common factor for all terms. Hence, the greatest common factor of the terms of the polynomial 3y2 – 21y + 36 is 3.

Learn more about Greatest Common Factor here:

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Answer:

1) The value of x is:

2) The degree for angle 1 is: 59°

3) The degree for Angle 2 is: 121°

Step-by-step explanation:

First we must find x, to do that we must find out what we are given:

m<1 = (2x + 23)°

m<2 = (7x - 5)°

Now we must see if there is any info that can help us find the angles:

Angle 1 and 2 are supplementary.

The word 'supplementary' is very important as it can help us evalute how to set up our problem.

Supplementary means the sum of 2 angles that create a 180°

So our measures will = 180°

(2x + 23) + (7x - 5) = 180°

Now we must try and find the value of x:

1) Remove the parenthesis, and combine like terms:

2x + 7x + 23 - 5 = 180°

9x + 18° = 180°

     - 18° =  -18°

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9x = 162°

2) Divide both sides by 2 in order to get 'x' value by itself:

Your value of x is 18.

Now you must substitue the value of x into you measures, to get your angles:

(2x + 23)°

2(18) + 23

36 + 23

= 59°

(7x - 5)°

7(18) - 5

126 - 5

= 121°

Is this statement true? Let's find out!

121° + 59° = ?

= 180°

It is true.