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WITCHER [35]
3 years ago
11

Given the box plot, will the mean or the median provide a better description of the center?

Mathematics
2 answers:
alexandr402 [8]3 years ago
6 0

Answer:

The median, because the data distribution is skewed to the right

Step-by-step explanation:

Min= 10.5

Q1 = 11.5

Median = 12.5

Q3= 13.5

Maximum = 15

The data is skewed towards the right because more values towards the right side as compared to the left side.

For data to be symmetrical, it has same shape on both sides of the median, which in our case is not possible.

So, for skewed data we always prefer median because it is less affected by the outliers and if mean is chosen, the value of mean is biased towards the side that has larger values while median does not get affected by it. So, we choose median.

our correct option will be:

The median, because the data distribution is skewed to the right

TEA [102]3 years ago
4 0

Answer: The answer is A the other options are wrong I took the rest

Step-by-step explanation:

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The profit function, y, for selling x shirts is given by the equation y=-0.1x^2+10x. What is the maximum value of the profit, y?
Alex73 [517]
2 ways
1 calcluls
2. algebra

calculus, just take the deritivive and find wher it is 0
y=-0.2x+10
at x=50
sub 50 for x in original
y=250


algebra
for
y=a(x-h)²+k
(h,k) is vertex
k is maximum value


complete the square
y=(-0.1x²+10x)
y=-0.1(x²-100x)
take 1/2 of -100 and square it and add negative and positive inside
-100/2=-50, (-50)²=2500
y=-0.1(x²-100x+2500-2500)
factor perfect square
y=-0.1((x-50)²-2500)
exand
y=-0.1(x-50)²+250

vertex at (50,250)
producing 50 units yeilds a sale price of $250


max price is $250
8 0
3 years ago
An object is launched on the moon at 16 feet per second (f/s) from a 1152-foot tall tower. The equation for the object's height
alexgriva [62]

Answer:

<em>0.5seconds later</em>

Step-by-step explanation:

Given the height modeled by the equation:

s(t) = -16t^2 + 16t + 1152

The velocity of the object at the moon surface is zero

ds(t)/dt = 0

ds(t)/dt = -32t + 16

0 = -32t + 16

32 t = 16

t = 16/32

t = 1/2

t = 0.5seconds

<em>Hence the object strikes the moon surface 0.5seconds later</em>

6 0
4 years ago
Factor using Greatest common factor. <br> 6pthirdpower-2psecondpower-8p
zlopas [31]
6p^3-2p^2-8p

2p(3p^2-p-4)

2p(3p^2+3p-4p-4)

2p(3p(p+1)-4(p+1))

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3 0
4 years ago
1.What is the true density of water? 2.What variables change the density of water? 3. How does water go against the concept of "
artcher [175]

Answer:

1. A common unit of measurement for

water's density is gram per milliliter

(1 g/ml) or 1 gram per cubic

centimeter (1 g/cm3). Actually, the

exact density of water is not really 1

g/ml, but rather a bit less (very, very

little less), at 0.9998395 g/ml at 4.0°

Celsius (39.2° Fahrenheit).

2. Water density changes with

temperature and salinity. Density is

measured as mass (g) per unit of

volume (cm). Water is densest at

3.98°C and is least dense at 0°C

(freezing point). Water density

changes with temperature and

salinity.

3. When water is a liquid, the water

molecules are packed relatively

close together but can slide past

each other and move around freely

(as stated earlier, that makes it a

liquid). Pure water has a density of

1.000 g/cm3 at 4° C. As the

temperature increases or decreases

from 4° C, the density of water

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6 0
3 years ago
Read 2 more answers
Complete the missing parts of the paragraph proof. Draw a perpendicular from P to AB. Label the intersection C. We are given tha
zvonat [6]
<span>1) We are given that PA = PB, so PA ≅ PB by the definition of the radius.

</span>When you draw a perpendicular to a segment AB, you take the compass, point it at A and draw an arc of size AB, then you do the same pointing the compass on B. Point P will be one of the intersections of those two arcs. Therefore PA and PB correspond to the radii of the arcs, which were taken both equal to AB, therefore they are congruent. 
 
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Perpendicularity is the relation between two lines that meet at a right angle. Since we know that PC is perpendicular to AB by construction, ∠PCA and ∠PCB are right angles.
 
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The reflexive property congruence states that any shape is congruent to itself.

4) So, triangle ACP is congruent to triangle BCP by HL, and AC ≅ BC by CPCTC (corresponding parts of congruent triangles are congruent). 

CPCTC states that if two triangles are congruent, then all of the corresponding sides and angles are congruent. Since ΔACP ≡ ΔBCP, then the corresponding sides AC and BC are congruent.
 
5) Since PC is perpendicular to and bisects AB, P is on the perpendicular bisector of AB by the definition of the perpendicular bisector. 

<span>The perpendicular bisector of a segment is a line that cuts the segment into two equal parts (bisector) and that forms with the segment a right angle (perpendicular). Any point on the perpendicular bisector has the same distance from the segment's extremities. PC has exactly the characteristics of a perpendicular bisector of AB. </span>
6 0
3 years ago
Read 2 more answers
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