What is the mean absolute deviation and what does it tell you about data set

Mathematics

1 answer:

kakasveta [241]2 years ago

5 0

It is the average distance between each data value and the mean.

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VikaD [51]

Answer: Option W

Step-by-step explanation:

A function cannot have multiply y values for a single x value, so the only option that satisfies this rule is option W, the top left.

7 0

1 year ago

Awaste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hol

iragen [17]

Answer:

1.92 yd x 3.83 yd x 2.58 yd

Step-by-step explanation:

We have given a rectangular base, that its twice as long as it is wide.

It must hold 19 yd³ of debris.

Lets minimize the surface area, subject to the restriction of volume (19 yd³)

The surface is given by:

$S=2(w*h+w*2w+2wh)=2(3wh+2w^2)$

The volume restriction is:

$V=w*2w*h=2w^2h=19\\\\h=\frac{9.5}{w^2}$

replacing h in the surface equation, we have:

$S=2(3wh+2w^2)=6w(\frac{9.5}{w^2})+4w^2=57w^{-1}+4w^2$

Derivate the above equation and set it to zero

$dS/dw=57(-1)w^{-2} + 8w=0\\\\57w^{-2}=8w\\\\w^3=57/8=7.125\\\\w=\sqrt[3]{7.124} =1.92$

The height will be:

$h=9.5/w^2=9.5/(1.92^2)=9.5/2.69=2.58$

Therefore,The dimensions that minimize the surface are:

Wide: 1.92 yd

Long: 3.83 yd

Height: 2.58 yd

8 0

2 years ago

A hot air balloon is spotted simultaneously by a man and a woman 3 ½ miles apart. If the angle of elevation from the man to the

V125BC [204]

See the picture attached to better understand the problem

we know that
in the right triangle ABD
tan 27°=BD/AD-----> BD=(3.5-x)*tan 27°------> equation 1

in the right triangle BDC
tan 41°=BD/DC-----> BD=x*tan 41°-----> equation 2

equate equation 1 and equation 2
(3.5-x)*tan 27°=x*tan 41°----> 3.5*tan 27-x*tan 27=x*tan 41
x*[tan 27+tan 41]=3.5*tan 27
x=3.5*tan 27/[tan 27+tan 41]-----> x=1.29 miles

BD=x*tan 41-----> BD=1.29*tan 41°----> BD=1.124 miles

convert miles to ft
1 mile-------> 5280 ft
1.124 miles----> x
x=1.124*5280-----> x=5934.72 ft

the answer is
the altitude of the balloon in feet is 5934.72