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Romashka-Z-Leto [24]
3 years ago
8

The Australian Open is the first of the four Grand Slam professional tennis events held each year. Victoria Azarenka beat Maria

Sharapova to win the 2012 Australian Open women’s title. During the tournament Ms. Azarenka serve speed reached kilometers per hour. A list of the Women’s Singles serve speed for the 2012 Australian Open is provided below. Player Serve Speed (km/h) S. Williams 192 S. Lisicki 192 M. Keys 191 L. Hradecka 188 J. Gajdosova 187 J. Hampton 187 B. Mattek-Sands 185 F. Schiavone 185 P. Ormaechea 185 P. Parmentier 185 N. Petrova 183 G. Arn 183 V. Azarenka 182 A. Ivanovic 182 P. Kvitova 179 M. Krajicek 179 V. Dushevina 178 S. Stosur 176 S. Cirstea 176 M. Barthel 175
a. Compute the mean, variance, and standard deviation for the serve speeds.

b. A similar sample of the 20 Women’s Singles serve speed leaders for the 2011 Wimbledon tournament showed a sample mean serve speed of 182.5 kilometers per hour. The variance and standard deviation were 33.3 and 5.77, respectively. Discuss any difference between the serve speeds in the Australian Open and the Wimbledon women’s tournaments.
Mathematics
1 answer:
klasskru [66]3 years ago
5 0

Answer:

asnwer is B

Step-by-step explanation:

mark BRAINLIEST

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When plotted on a grid, the paths between four neighborhood houses form the shape of a kite as shown.
KatRina [158]

Answer:

The area of the figure is 1,000 square feet

Step-by-step explanation:

we know that

The area of the kite ABCD

is equal to

A=\frac{1}{2}[AC*BD]

where

AC and BD are the diagonals of the kite

we have

BD=50\ ft\\AC=40\ ft

substitute

A=\frac{1}{2}[40*50]=1,000\ ft^2

3 0
3 years ago
A person wants to create a vegetable garden and keeps the rabbits out by enclosing it with 100 feet of fencing. The area of the
alekssr [168]

Answer:

The garden can not have area of 700ft^2

Step-by-step explanation:

We are given equation for area as

A(w)=w\times (50-w)

where

w is the width (in feet) of the garden

now, we are given area =700 ft^2

so, we can set area =700

and then we can solve for w

w\times (50-w)=700

50w-w^2=700

-w^2+50w-700=0

now, we can use quadratic formula

ax^2+bx+c=0

w=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

we can compare and find a,b, and c

a=-1 , b=50 , c=-700

now, we can plug values

w=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-700\right)}}{2\left(-1\right)}

w=25-5\sqrt{3}i,\:w=25+5\sqrt{3}i

We can see that values of w is not real

so, w does not exists when area =700

so, The garden can not have area of 700ft^2


4 0
3 years ago
The length of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessar
mezya [45]
To solve this problem you must apply the proccedure shown below:

 You must apply the Pythagorean Theorem.

 a) Taking 28 inches as the hypotenuse of the right triangle (the largest side), you have:

 a^2=b^2+c^2

 Where "a" is the hypotenuse, and "b" and "c" are the other sides of the right triangle.

 Then, you have:

 a=28 inches
 b=15 inches

 c^2=a^2-b^2 
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 c=23.6

 Therefore, the answer is: 23.6 inches

 
a) Taking 28 inches as a one the other sides that are smaller than the hypotenuse, you have:

 a=√(b^2+c^2)

 Where "a" is the hypotenuse

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7 0
3 years ago
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A line passing through the point (7, 6) has a slope of 2.
Masja [62]
An equation in point-slope form is
y - y1 = m (x - x1)

Your point is (7,6) and your slope is 2
y1 is the y coordinate of your point (in this case 6)
x1 is the x coordinate of your point (in this case 7)
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Now you just have to plug these numbers in:
y - 6 = 2 (x - 7)
8 0
3 years ago
Whats the value of x A.5 B.2.5 C.7.5 D.10
Anna007 [38]
I think the answer is b 
3 0
3 years ago
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