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3 years ago

For the data set 100, 100, 104, 107, 107, the mean is 103,. What is the mean absolute deviation

Mathematics

1 answer:

Anna35 [415]3 years ago

5 0

Answer:

Mean Absolute Deviation is 3.

Step-by-step explanation:

103-100=3

103-104=1

103-107=4

3+3+1+4+4=15/ the five numbers

15/5= 3

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Steph,andra,emily,and becca are planning a road trip from their hometown to san antonio

morpeh [17]

Answer:

a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

Hometown

$H(x,y) = (8,6)$

San Antonio

$T(x,y) = (-6,-7)$

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:

Steph

$S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)]$ (1)

$S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)]$

$S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)$

$S(x,y) = (4.5,2.75)$

Andra

$A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)]$ (2)

$A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)]$

$A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)$

$A(x,y) =(1, -0.5)$

Emily

$E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)]$ (3)

$E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)]$

$E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)$

$E(x,y) = (-2.5, -3.75)$

a. If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver?

Emily's beginning point is the Andra's stop point, that is, $A(x,y) =(1, -0.5)$ .

Emily should begin her turn as the third driver at point (1, -0.5).

b. At what point does Emily's turn to drive end?

Emily's turn to drive end at point (-2.5, -3.75).

7 0

3 years ago

Fiona is gathering signatures on a petition to save the Orangutans. If she gets 4 times the number of signatures that she has ri

mixer [17]

The equation would be 4n=8000
to solve, divide 8000/4=2000, she has collected 2,000 signatures so far

4 0

3 years ago

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Slove. -5 3/4 - 3 1/2 = A. -9 1/4 B. -2 1/4 C. -8 2/3 D. 2 1/4

Komok [63]

Answer:

Step-by-step explanation:

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3 years ago

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Find the side of a cube if its volume is 1331 cm³.

SSSSS [86.1K]

answe= aprox 11

Using the formula

V=a3

Solving fora

a=V⅓=1331⅓≈11

4 0

3 years ago

What is the area of the shaded segment?

Whitepunk [10]

Answer:

$6\pi-9\sqrt{3$

Step-by-step explanation:

The area of a pie-slice shape can be found with the equation $A=\pi nr^2/360$ where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is $\pi (60)(6^2)/360=6 \pi$

Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is $\sqrt{3}r^2/4$ where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of $9 \sqrt{3}$

Finally, the area of the shaded is the area of the pie-slice minus the area of the triangle: $6\pi-9\sqrt{3$

8 0

3 years ago