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3 years ago

The following frequency distribution shows the yearly tuitions (in $1,000s) of a sample of private colleges.

Mathematics

1 answer:

hoa [83]3 years ago

8 0

Answer:

19.714

Step-by-step explanation:

Given :

Yearly Tuition Frequency

12-16 5

17-21 4

22-26 3

27-31 2

We calculate the midpoint (x) = (lower + upper) / 2

The mean yearly tuition :

The midpoint (x) :

X ___ F ___ Fx

14 __ 5

19 __ 4

24 __ 3

29 __ 2

The mean = Σfx / Σf

Σfx / Σf = (14*5 + 19*4 + 24*3 + 29*2) / (5+4+3+2)

Mean = 276 / 14

Mean yearly tuition = 19.714

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Triangle DEF has vertices D = (-4,-4), E = (-2,-4), and F = (-3,-1). 5! 3 2 1 -7 6 5 4 3 2 2 3 4 5 6 10 5 3. What is the area of

maxonik [38]

Answer:

$Area = 3$

Step-by-step explanation:

Given

$D = (-4,-4)$

$E = (-2,-4)$

$F = (-3,-1)$

Solving (a) and (b):

See attachment for plot and labelled vertices

Solving (c): The area

This is calculated using:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2+x_3y_1 - x_1y_3|$

Where:

$D = (-4,-4)$ -- $(x_1,y_1)$

$E = (-2,-4)$ -- $(x_2,y_2)$

$F = (-3,-1)$ -- $(x_3,y_3)$

This gives:

$Area = \frac{1}{2}|(-4*-4) - (-4*-2) + (-2 *-1) - (-3*-4)+(-3*-4) - (-4*-1)|$

$Area = \frac{1}{2}|16 - 8 +2- 12+12 - 4|$

$Area = \frac{1}{2}|6|$

This gives

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3 years ago

Which statements about the triangles are correct? Select TWO answer choices that apply.

Ludmilka [50]

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nikdorinn [45]

Answer:

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Step-by-step explanation:

by definition,

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4 years ago

Read 2 more answers

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Answer:

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Step-by-step explanation:

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