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3 years ago

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What are the minimum, first quartile, median, third quartile, and maximum of the data set?

1 answer:

allochka39001 [22]3 years ago

4 0

If we rearrange the given data set from lowest to highest, we have
$3,\:6,\:7,\:8,\:10,\:12,\:15,\:18$

The minimum is 3.

The first quartile is the average of 6 and 7, which is 6.5

The median is the average of 8 and 10 which is 9.

The third quartile is the average of 12 and 15 which is 13.5.

The maximum is 18.

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Two solutions of the equation Ax+By = 1 are (2, -1) and (-3,-2). Find A and B.

kati45 [8]

Answer:

Substitute in the values of both given coordinates & form 2 equations:

$\left \{ {{A(2)+B(-1)=1} \atop {A(-3)+B(-2)=1}} \right. \\\\=\left \{ {{2A-B=1} \atop {-3A-2B=1}} \right.$

Find the value of B from the equation 2A - B = 1:

$2A-B=1\\-B=1-2A\\B=2A-1$

Substitute in the B-value to the other equation:

$-3A-2B=1\\-3A-2(2A-1)=1\\-3A-4A+2=1\\-7A=1-2\\-7A=-1\\A=\frac{-1}{-7} =\frac{1}{7}$

Find the B-value using the equation from before:

$B=2A-1=2(\frac{1}{7})-1=\frac{2}{7} -\frac{7}{7} =-\frac{5}{7}$

Therefore the equation Ax + By = 1 would equal:

$\frac{1}{7} x-\frac{5}{7} y=1$

4 0

3 years ago

Create an equivalent trinomial for 2 (3x + 5)(2x - 6)

emmainna [20.7K]

Answer:

24x^2+112x+120

Step-by-step explanation:

distribute the 2

(6x+10)(4x+12)

foil it

24x^2+112x+120

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3 years ago

What is the gcf of 24 30 42

olga55 [171]

GCF(24, 30, 42) = 6 I think it is.

6 0

3 years ago

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Galina had two boxes with pieces of paper in each. In the first box, each piece of paper had one possible outcome from flipping

Natali5045456 [20]

Answer:

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Step-by-step explanation:

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3 years ago

Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 u

RoseWind [281]

Transformation involves changing the form of a function.

The absolute value function is $f(x)=0.3|x -2|$

The parent function of the absolute value function is:

$f(x)=|x|$

When the function is translated 2 units to the right, the new function is:

$f(x)=|x -2|$

From the function to be wider than the absolute function, the function must be stretched by a factor less than 1.

The possible function from the list of given options is $f(x)=0.3|x -2|$

Read more about function transformation at:

brainly.com/question/1548871

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3 years ago